Final Abstract Book - ICMMSND 2024_Pg. No_39.pdf

International Conference on Mathematical Modelling, Simulation and Nonlinear Dynamics –
2024, Feb. 15th
& 16th
, 2024, Bharathiar University, India.
1
Motions and Scales in Atmospheric Flows
Maithili Sharan1
1
Centre for Atmospheric Sciences, Indian Institute of Technology Delhi.
Mathematical modelling of atmospheric and oceanic processes plays a key role in
understanding the physical processes involved in the study of weather, climate and
environment issues. Capabilities are developed for better understanding of physical processes
with the growth of modern technology providing data accessibility and the techniques to solve
the mathematical system of non-linear differential equations.
Various forces governing the atmospheric motions will be described. Differences in the
forcings in reference to classical fluid flows will be highlighted. Temporal and spatial scales
of various atmospheric phenomena will be discussed. Scale analysis of the governing equations
for synoptic or large-scale atmospheric motions will be presented. Geostrophic and hydrostatic
approximations will be derived. Finally, the various steps involved in the
mathematical/numerical modeling of atmospheric processes will be highlighted.
Improved Results on Finite-Time Synchronization of Shunting Inhibitory
Cellular Neural Networks with Time-Varying Delays Via Hybrid Impulsive
Pinning Control
Ardak Kashkynbayev1
1
Department of Mathematics, Nazarbayev University
E-mail: ardak.kashkynbayev@nu.edu.kz
This paper explores finite-time synchronization in shunting inhibitory cellular neural
networks (SICNNs) with time-varying delays. An advanced hybrid controller is introduced to
achieve this, serving as a state-feedback and pinning impulsive controller during impulsive
intervals and instants, respectively. Considering the basic Lyapunov function, the paper
proposes finite-time synchronization for the SICNNs-based master-slave model structured
along with the hybrid controller. This proposition is validated through a series of case studies
highlighting the effectiveness of the hybrid controller. Furthermore, this paper compares the
settling time of finite-time synchronization using the proposed hybrid controller against the
classic state-feedback and pinning-impulsive controller, demonstrating the advantages of the
hybrid approach. The effectiveness of the proposed hybrid controller is exemplified through a
numerical example, showcasing consensus between MATLAB software simulations and
manual computations. The comparison analysis includes assessing the proposed hybrid
controller against the classic state-feedback and pinning-impulsive controllers.

2024, Feb. 15th
& 16th
2
Mathematical modeling of multi-phase flow models in oil reservoirs
G P Raja Sekhar1
1
Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721302,
India
E-mail: rajas@iitkgp.ac.in
This lecture introduces mathematical governing equations for flow through porous
media, flow through oil reservoirs etc. where the solid skeleton is assumed to be a rigid non-
deformable matrix. This then introduces multi-phase flow models applied to enhanced oil
recovery. Mathematical model for spontaneous imbibition process of oil recovery from highly
heterogeneous reservoir formation using non-classical approach will be discussed. We then
discuss two-phase flow model in a highly heterogeneous porous column consisting of
homogeneous blocks with periodically changing porosity and permeability. In order to capture
the effective behavior, upscaled equations for the average saturation are derived via
homogenization. This technique relies on a notion of periodicity and allows averaging over any
number of blocks that may have any internal distributions of the rock parameters. Numerical
experiments will be shown to gain insights on how these show a good agreement between the
averaged solutions of the original micro-scale equations and the solutions of the upscaled
equations. Finally, numerical investigation of spontaneous imbibition in an anisotropic
reservoir will be discussed with few test cases.
Krylov Sub-Space Methods (KSM): Principles, Analysis and Applications
N. M. Bujurke1
1
INSA Emeritus Scientist, Department of Mathematics, Karnatak University, Dharwad-
580003
E-mail: bujurke@yahoo.com
The continual and pressing surge in understanding problems of practical importance is
mostly modelled based on appropriate equations. Their analysis sparks pressing demand for
efficient and reliable numerical techniques/schemes. Krylov Sub-Space Methods (KSM) are
natural developing schemes with immense potentials. Their building blocks are mostly the
earlier significant contributions by Krylov (1931), Hestenes and Stiefel (1952), Lanczos
(1950,52) and Arnoldi (1951) and some others. Initially, their thrust was in the Spectral analysis
and solution of model equations. KSM being a fast converging iterative method (non-
stationary-matrix free) with projection features (satisfying optimality and stability of the
algorithms concerned) captures primary features of interest of the model with much less efforts.
They are competitive methods of choice. A glimpse and flavour of this galloping topic are
briefly presented in this talk. It comprises the basic principles, algorithms, analysis and
illustration with some case studies to convince their superior general framework compared with
other contemporary schemes.

2024, Feb. 15th
& 16th
3
Second Order Well Balanced Numerical Methods for a Coupled System
Models the Growth of a Sand Pile
G.D. Veerappa Gowda1
1
TIFR Centre for Applicable Mathematics, Bengaluru-560065.
E-mail: gowda@tifrbng.res.in
We propose and analyse the second order finite volume Godunov type numerical
methods for a 2 × 2 system of hyperbolic balance laws which models the growth of a sand pile,
generated by vertical source on a flat bounded rectangular table. This model was proposed by
Hadeler and Kuttler and in such a system, an Eikonal equation for the standing layer of the pile
is coupled to an advection equation for the rolling layer. It is shown theoretically as well as
computationally that second order finite volume schemes for this model is not well balanced.
To overcome this difficulty developed an adaptive second-order scheme and shown
analytically and computationally that the resulting scheme is well-balanced. Further modifying
the flux function locally by including source term as a part of the convection term to get better
accuracy. Numerical experiments are done for open table and partially open table problems.
Discretization of Nonlinear Dynamical Systems: Challenges and Prospects
Santo Banerjee1
1
Department of Mathematical Sciences, Politecnico di Torino, Torino, Italy
E-mail: santoban@gmail.com
The process of discretization serves as a flexible technique for converting continuous
data into distinct categories, offering advantages such as simplification, improved model
interpretability, computational efficiency, and relevance to specific domains. However, careful
consideration is essential when applying discretization, as it requires a balance between
potential information loss and the benefits gained across different scenarios. The behavior of
the discrete equation derived from a differential equation is influenced by various factors,
including the properties of the original continuous system, the chosen numerical method for
discretization (e.g., Euler method, Runge-Kutta methods), and the selected step size. This
lecture aims to provide insights into the discretization process, emphasizing the importance of
exploring discretized models. Additionally, the lecture will delve into error analysis as a means
of quantitatively understanding the extent of information loss. Through numerical simulations,
participants will develop a qualitative understanding of these models. Real-world scenarios
such as neural networks and neuromuscular models will be considered to exemplify the
application. Both the continuous and discretized iterations of the model will undergo numerical
evaluation, allowing for an investigation into the impact of discretization on information loss.

2024, Feb. 15th
& 16th
4
Efficient Operator Splitting Numerical Schemes for Singularly Perturbed
2D Parabolic PDEs
Natesan Srinivasan1
1
Department of Mathematics, IIT Guwahati, India
E-mail: natesan@iitg.ac.in
Here, we study the numerical solution of singularly perturbed 2D parabolic convection-
diffusion-reaction initial-boundary-value problem. Basically, first we apply the alternating
direction implicit (ADI) type operator splitting method to covert the given 2D problem into
two 1D problems. Then the resultant 1D problems are solved numerically by two efficient
methods on layer-adapted piecewise-uniform Shishkin meshes. The first one is the streamline-
diffusion finite element method (SDFEM), and the second method is the weak Galerkin finite
element method (WG-FEM). Stability and ε–uniform error estimates have been established.
The suggested approach reduces the computational difficulty and high storage requirements
for higher-dimensional problems. Some numerical simulations are carried out to validate the
theoretical error estimate.
Time-reversal symmetry and response in an external magnetic field
Lamberti Rondoni1
1
Department of Mathematical Sciences, Politecnico di Torino, Torino, Italy
E-mail: lamberto.rondoni@polito.it
There are infinitely many time reversal symmetries that can be used to obtain statistical
mechanical results, such as the Onsager Reciprocal Relations, or the fluctuation theorems. We
illustrate both the classical and the non-relativistic quantum mechanical theories. In particular,
we prove that the spin-field interaction does not break the time reversal invariance of the
dynamics, and that it does not require additional conditions for such a symmetry to hold.
Localized Level Set Method to Capture Moving Interfaces using RBF
Based Gridfree Scheme
Sanyasiraju VSS Yedida1
1
Department of Mathematics, IIT Madras, Chennai.
E-mail: sryedida@iitm.ac.in
This lecture looks at capturing a moving interface using the gridfree local scheme based
on Radial Basis Functions (RBF). The scheme handles uniform, non-uniform and scattered
centers (points) with equal ease and is also free from any ill-conditioning unlike the
corresponding RBF based global collocation schemes. Level set functions are used to capture
the time-dependent interfaces and reinitialization is incorporated to maintain the signed
distance character of the level set function.

2024, Feb. 15th
& 16th
5
ICMMSND101
Existence Results For Hilfer Fractional Order Differential
Hemivariational Inequalities (𝟏 < 𝑟 < 2) And Optimal Controls
Marimuthu Mohan Raja1
, Kalyana Chakravarthy Veluvolu1
1
School of Electronic and Electrical Engineering, Kyungpook National University,
Daegu - 41566, Republic of Korea.
E-mail: raja.marimuthu1605@gmail.com.
This article primarily analyses the existence and optimal control results for order (1 <
𝑟 < 2)Hilfer fractional differential hemivariational inequalities. The existence of amodest
solution for the Hilfer fractional hemivariational inequalities is addressed initially. In addition,
we study the optimal control outcomes for the given problems using mildsolutions, generalized
Clarke subdifferential type, cosine families, fixed point theorem formultivalued maps, and cost
functionals. Following that, an example is given to clarifythe primary findings.
ICMMSND102
Traveling Wave Speed And Profile Of A ‘‘Go Or Grow’’ Glioblastoma
Multiforme Model
Aisha Tursynkozha1
, Ardak Kashkynbayev1
, Bibinur Shupeyeva1
, Erica M. Rutter2
,Yang
Kuang3
1
Department of Mathematics, Nazarbayev University, 010000 Astana, Kazakhstan.
2
Department of Applied Mathematics, University of California, Merced, 5200 North Lake
Rd., Merced, CA, 95343, USA.
3
School of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ
85287, USA.
E-mail: aisha.tursynkozha@nu.edu.kz.
Glioblastoma multiforme (GBM) is a fast-growing and deadly brain tumor due to its
ability to aggressively invade the nearby brain tissue. A host of mathematical models in the
form of reaction–diffusion equations have been formulated and studied in order to assist
clinical assessment of GBM growth and its treatment prediction. To better understand the speed
of GBM growth and form, we propose a two population reaction– diffusion GBM model based
on the ‘go or grow’ hypothesis. Our model is validated by in vitro data and assumes that tumor
cells are more likely to leave and search for better locations when resources are more limited
at their current positions. Our findings indicate that the tumor progresses slower than the
simpler Fisher model, which is known to overestimate GBM progression. Moreover, we obtain
accurate estimations of the traveling wave solution profiles under several plausible GBM cell
switching scenarios by applying the approximation method introduced by Canosa.

2024, Feb. 15th
& 16th
6
ICMMSND103
Synchronization of Fuzzy Reaction-Diffusion Neural Networks Via Semi-
Intermittent Hybrid Control and Its Application To Medical Image
Encryption
Kathiresan S1
, Mohanrasu S S2
, R. Rakkiyappan2
, Ardak Kashkynbayev1
1
Department of Mathematics, Nazarbayev University, Nur-Sultan 010000, Kazakhstan.
2
Department of Mathematics, Bharathiar University, Coimbatore - 641 046, Tamil Nadu,
India.
E-mail: kathiresan.sivakumar@nu.edu.kz.
This paper addresses the problem of synchronizing fuzzy reaction-diffusion neural
networks (FRDNNs) with time-varying transmission delays using aperiodic semi-intermittent
hybrid controls and explores its application within the realm of image encryption. The main
challenge in analyzing the dynamics of FRDNNs included diffusion terms with uncertainty,
and the inclusion of fuzzy logic operations further increases the system's complexity. We
propose a new concept called the average control width (ACW) for aperiodic semi-intermittent
control (ASIC) systems; it is used in conjunction with the idea of average dwell time (ADT)
for switched systems. A sufficient flexible condition for master-slave synchronization of neural
networks using average-width semi-intermittent hybrid control assures ADT and ACW
conditions. By utilizing these concepts, the proposed synchronization method can overcome
the challenges posed by the diffusion terms and fuzzy logic operations in FRDNNs with time-
varying transmission delays. Finally, the paper presents a theoretical framework for
synchronizing FRDNNs with time-varying transmission delays using semi-intermittent hybrid
control via LMI and suitable Lyapunov functional, validated through simulations. The
proposed synchronization method is also applied to develop a novel chaos-based elliptic curve
cryptography algorithm for medical image encryption.
ICMMSND105
Finite-Time Synchronization for Fuzzy Shunting Inhibitory Cellular
Neural Networks
Zhangir Nuriyev1
1
E-mail: zhangir.nuriyev@nu.edu.kz.
Finite-time synchronization is a critical problem in the study of neural networks. The
primary objective of this paper is to design controllers for various models based on Fuzzy
Shunting Inhibitory Cellular Neural Networks (FSICNNs) and find out sufficient conditions
for systems' solutions to reach synchronization in finite time. In particular, we prove the
existence of finite-time synchronization for three basic FSICNN models that have not been
studied before and suggest both controllers and Lyapunov functions that would yield the
feasible convergence time between solutions. We explore models of delayed FSICNNs with
and without inertial terms and FSICNNs with diffusion and without delays. Using criteria
derived by means of maximum-value approach, we give an upper bound to the time by which
synchronization is guaranteed to occur in the three FSICNNs models. These results are
supported by computer simulations showing the solutions' behavior for different initial
conditions of FSICNNs.

2024, Feb. 15th
& 16th
7
ICMMSND106
Finite-Time Synchronization of Fractional Order Memristive Neural
Networks with Time-Varying Delays
Madina Otkel1
1
E-mail: madina.otkel@nu.edu.kz.
This research investigates the finite-time synchronization of a class of fractional-order
memristive neural networks with time-varying delays, employing a linear feedback control
strategy. The network's dynamics, characterized by fractional-order calculus and memristive
elements, introduce non-locality, memory effects, and adaptive learning capabilities. The
presence of time-varying delays further challenges synchronization efforts. A linear feedback
control is proposed to drive the state trajectories towards synchronization in a finite time frame.
The analysis includes theoretical guarantees on the existence and uniqueness of solutions in
the Filippov sense, stability criteria and sufficient conditions for achieving finite-time
synchronization using Lyapunov functionals. Moreover, we propose robust techniques for
settling-time estimation. Finally, numerical simulations validate the effectiveness of the linear
feedback control strategy in achieving finite-time synchronization between drive-response
systems, even in the presence of fractional-order dynamics and time-varying delays.
ICMMSND107
A Study on The Neutral Fractional Impulsive Dynamic Equations with
Nonlocal Initial Condition Over Time Scales
C. Anusha1
, C. Ravichandran1
1
Department of Mathematics, Kongunadu Arts and Science College,
Coimbatore - 641 029, India.
E-mail: anushachandran2498@gmail.com.
In this study, we use the Caputo-Nabla derivative (C∇D) to investigate the uniqueness
of a neutral fractional impulsive dynamic equation over time scales including nonlocal initial
condition. The result is based on certain fixed point theorem. Furthermore, a comparison is
made between the fractional order (C∇D) and the Riemann-Liouville nabla derivative (RL∇D)
across time scales.

2024, Feb. 15th
& 16th
8
ICMMSND108
Optimizing Photovoltaic Systems Through Z-Source Inverter Technology:
Simulation and Harmonic Distortion Analysis
S. Karthikeyan1
, C. Ramakrishnan1
1
Department of Electrical and Electronics Engineering,
SNS College of Technology, Coimbatore-641035, India.
E-mail: skarthigp@gmail.com.
Research in photovoltaic (PV) systems is gaining widespread attention due to their
environmental and financial benefits. PV converters are crucial components and are
implemented in either single-stage or two-stage topologies, depending on intermediate DC bus
requirements. The regulation of DC bus voltage and output voltage can be effectively achieved
through shoot-through and non-shoot-through modes. Recent studies in two-stage topologies
focus on transformerless structures to eliminate bulky and lossy transformer isolation. This
paper introduces a photovoltaic system utilizing a single-phase Z-Source inverter, which
represents a modification of traditional inverter technology. The proposed Z-Source inverter
offers a novel approach to address the challenges associated with PV systems. Simulation
results are obtained through MATLAB/SIMULINK, and the total harmonic distortion is
evaluated for both the Z-Source inverter and the proposed new Z-Source inverter using FFT
analysis. This innovative approach aims to enhance the performance and efficiency of
photovoltaic systems.
ICMMSND109
An Encryption Scheme Based on FDLCSP For Sensitive Health
Information in Healthcare Systems
Yuvasri R1
, Manimaran A
1
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology,
Vellore - 632014, TN, India.
E-mail: yuvasriramesh6@gmail.com.
In this paper, a key exchange protocol based on Factorization Discrete Logarithm
Conjugacy Search Problem (FDLCSP) over semiring is proposed. The security and complexity
analysis of the proposed protocol is examined. Also, based on the proposed key exchange
protocol, an ElGamal cryptosystem for securing the Sensitive Health Information (SHI) in
Healthcare systems is presented.

2024, Feb. 15th
& 16th
9
ICMMSND110
A Study on Monkeypox Population Dynamics Utilizing an Atangana-
Baleanu Fractional Mathematical Model
T. Gunasekar1,2
, S. Manikandan1
, P. Raghavendran1
1
Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science
and Technology, Chennai, Tamil Nadu, India.
2
School of Artificial Intelligence & Data Science, IIT Jodhpur, Rajasthan, India.
E-mail: tguna84@gmail.com.
Monkeypox, a zoonotic illness, presents a growing public health concern across the
globe, affecting both developed and developing nations. To address this, there's a pressing need
to develop strategies for preventing and controlling its spread in populations. Monkeypox,
caused by the monkeypox virus in the Poxviridae virus family, initially found in Africa, has
now emerged as a worldwide threat. This study focuses on creating a new model to understand
monkeypox transmission, specifically examining the interaction between infected humans and
rodents. Employing an Antangana-Baleanu fractional order approach, the research aims to
establish a model solution system using iterative methods and fixed-point theorems. The study
emphasizes the existence of an optimal control method, aiming to minimize treatment costs,
prevention measures, and the number of infected individuals. The application of Pontryagin's
Maximum Principle establishes optimality conditions, while numerical simulations showcase
the efficacy of the proposed combined control strategy in preventing widespread epidemic
outbreaks.
ICMMSND111
The Impact of Data Granularity on The Stock Market Prediction and
Investment Strategies
Priya Singh1
, Manoj Jha1
1
Maulana Azad National Institute of technology, Bhopal (M.P.), India
E-mail: priya.s.parihar94@gmail.com.
Stock market data is highly noisy and volatile. The Long Short-Term Memory (LSTM)
model is used in this research work to examine how data frequency of the stock market affects
the efficacy and predictive performance of investing strategies. The experiment encompasses
a range of data frequencies, including hourly, daily, weekly, and monthly values, with the
objective of determining which frequency is optimal for investment strategies. Appropriate
data preparation is carried out by the research in accordance with the unique requirements of
each frequency. For uniformity and comparability throughout the range of frequencies,
historical data are cleaned, normalised, and denoised. Our investigation delves into both short-
term and long-term investment strategies for the Nifty 50 index, recognizing the diverse
preferences and objectives of market participants. A set of recognised measures, including as
Mean Absolute Error (MAE), Root Mean Squared Error (RMSE), and R-squared (R2), are used
to assess the models. These measures provide thorough understanding of the prediction models'
precision and capacity for explanation at various data frequencies. Moreover, the study clarifies
the impact of data granularity on the resilience and dependability of investment strategies under
both short-term and long-term conditions. The results of this research make a valuable
contribution to the continuous dialogue surrounding predictive modelling in the financial
markets. Additionally, they provide practical guidance for investors who are seeking to
optimise their strategies by taking into account the periodicity of data.

2024, Feb. 15th
& 16th
10
ICMMSND112
Response Analysis of Free-Flooded Cylindrical Piezoelectric Transducer
Under Excitation Using the Method of Variation Of Parameters
Vineeth P R1
1
DRDO Young Scientists’ Laboratory for Smart Materials, Hyderabad.
E-mail: prvineeth.dysl-sm@gov.in.
Free-flooded cylindrical piezoelectric transducers are often used in underwater
application for acoustic sensing and actuation. The response of a free-flooded cylindrical
piezoelectric transducer having a radially polarised piezoelectric cylinder coated with polymer
on both sides is studied in this paper. The equations of motion of water, piezoelectric cylinder
and polymer coating are expressed in terms of ordinary differential equations and solutions are
sought for the displacement and pressure/ stress. The differential equations for all the media
except the piezoelectric cylinder are homogeneous and solutions are expressed explicitly. The
non-homogeneous differential equation for piezoelectric cylinder is solved by using the method
of variation of parameters resulting in solutions in terms of special functions such as Bessel
function, Gamma function and generalized Hypergeometric function. The generalized
Hypergeometric function converges faster than the other special functions such as Lommel
functions reported by earlier researchers and is useful from practical point of view. The
undetermined coefficients in all the above equations are solved using continuity in radial
displacement and radial stress at all the interfaces. The projector sensitivity and admittance of
the transducer are calculated analytically and compared with finite element analysis and the
results are presented in this paper. A study is also conducted on the effects of thickness and
damping in polymer and fluid loading on the performance of the transducer.
ICMMSND113
A Study on Epichristoffel Words Using Epichristoffel Trees
Abhishek Krishnamoorthy1
, Robinson Thamburaj1
1
Madras Christian College.
E-mail: abhishek@mcc.edu.in.
Sturmian words is a family of one-sided infinite words over a binary alphabet that are
obtained as a discretization of a line with irrational slope starting from the origin. A finite
version of this class of words called Christoffel words has been extensively studied for their
interesting properties. It is the only class of words that has a geometric and an algebraic
definition making it an interesting topic of study for many mathematicians. In recent times a
generalization of Christoffel words for an alphabet with 3 letters or more called epichristoffel
words, using the episturmian morphisms have been studied and many of the properties of the
Christoff words have been shown to carry over to epichristoffel words how ever many
properties are not shared by them as well. In this paper we introduce the notion of an
epichristoffel tree and use it to show certain cases when the properties of Christoffel words are
shared by epichristoffel words and when they are not. We also use the epichristoffel tree present
a few results that help better understand epichristoffel words.

2024, Feb. 15th
& 16th
11
ICMMSND114
Quasi-Projective Multisynchronization Analysis For Coupled Fractional-
Order Quaternion Valued Neural Networks
K. Udhayakumar1
, Fathalla A. Rihan1
1
Department of Mathematical Sciences, College of science, United Arab Emirates
University, Al-Ain, 15551, UAE.
E-mail: udhai512@gmail.com.
This paper addresses the problem of quasi-projective multisynchronization for coupled
multistable fractional-order quaternion valued neural networks with time delays. Firstly, we
illustrate that every subnetwork belonging to a class of coupled fractional-order quaternion
valued neural networks, composed of 𝑁 identical subnetworks, can possess (𝑟 + 1)𝑛 locally
stable equilibria according to the Mittag-Leffler stability criterion. Secondly, a hybrid
impulsive controller is constructed for ascertaining the static quasi-projective
multisynchronization of the delayed coupled multistable quaternion valued fractional-order
neural networks with fixed topology, and some algebraic criterion are provided by using the
given inequalities, the decomposition method and the Mittag-Leffler stability theory. In
addition, the error bounds are estimated. It has been found that by effectively increasing the
feedback gains, a lower error bound can be achieved. Finally, numerical examples are provided
to validate the efficacy of the theoretical findings.
ICMMSND115
Stability Results of Caputo Fractional Order Uncertain Flexible Impulsive
Control System
Radhika V1
, A. Vinodkumar1
, T. Senthilkumar3
1
Department of Mathematics, School of Physical Sciences, Amrita Vishwa Vidyapeetham,
Kochi, India.
2
Department of Mathematics, School of Physical Sciences, Amrita Vishwa Vidyapeetham,
Coimbatore, India.
E-mail: radhikavaidyanath@gmail.com.
The study investigates stability criteria of Caputo fractional order uncertain flexible
impulsive control system. Then, the delay between two consecutive impulsive effects is
considered as flexible and the effect of impulses depend not only on the impulsive function,
but also on the order of fractional systems. Further, new stability results, namely, robust
exponential stability criterion and exponential stability criterion for the proposed system are
obtained based on the idea of average impulsive delay via linear matrix inequality technique
by employing the Lyapunov function. The viability and feasibility of the theoretical results are
ascertained by numerical examples.

2024, Feb. 15th
& 16th
12
ICMMSND116
Homotopy Analysis Transform Method for Solving Certain Time
Fractional Nonlinear Partial Differential Equations
C. Uma Maheswari1
, M. Yogeshwaran1
1
Ramanujan Institute for Advanced Study in Mathematics,
University of Madras, Chennai-05, Tamil Nadu, India.
E-mail: yogimunusamy@gmail.com.
In this paper, we present an extension of the Homotopy analysis transformmethod to
solve scalar and coupled time fractional nonlinear partial differential equations. The method’s
efficiency has been illustrated by considering Caputo time fractional derivatives of equations,
including the Korteweg-de Vriesequation, Burgers equation, Schrödinger equation, two
coupled K𝑑V equation,and two coupled Burgers equation. An exact solution has been derived
for the two coupled Korteweg-de Vries equations and the two coupled Burgers equations.
Additionally, an approximate analytical solution has been achieved for the Korteweg-de Vries
equation, Burgers equation, and Schrödinger equation.
ICMMSND117
Ensemble Feature Selection Using Q-ROHFS Aczel–Alsina Aggregation
Operators With MCDM
S. Kavitha1
, J. Satheeshkumar1
, T. Amudha1
1
Department of Computer Applications, Bharathiar University, Coimbatore-641046.
E-mail: kavithabu2020@gmail.com, j.satheesh@buc.edu.in.
Feature selection becomes increasingly necessary due to the rapid advancement of
digital technology, enabling the swift generation of vast amounts of high-dimensional data.
This study delves into ensemble feature selection employing the q-rung orthopair hesitant fuzzy
Aczel-Alsina aggregation operator alongside a multi-criteria decision-making (MCDM)
process. Novel q-rung orthopair hesitant fuzzy aggregation operators (AOs) grounded in
Aczel–Alsina (AA) operations are introduced herein. The primary aim is to propose an
ensemble technique utilizing rank aggregation procedures. Through the utilization of q-
ROHFS AA operators, each feature receives a score based on the preference matrix values.
Subsequently, an output rank vector is generated for all features, allowing users to select their
preferred number of features. To demonstrate the efficiency and effectiveness of this approach,
a comparison is made with basic filter-based feature selections and ensemble feature selection
utilizing a feature ranking strategy. The experimental validation involves the use of ten datasets
to assess the proposed method's performance and optimality.

2024, Feb. 15th
& 16th
13
ICMMSND118
Invariant Similarity Transformations for Time Fractional Navier-Stokes
Equation
S. Gimnitz Simon1
, B. Bira1
1
Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur.
E-mail: gs0842@srmist.edu.in.
For a particular type of time-fractional Navier Stokes Equation (NSE), similarity
transformations and invariance are discussed in this study. We have identified the infinitesimal
generator and obtained the corresponding similarity variables (smooth function) by means of
the Lie symmetry analysis technique. We may also examine and reduce the original NSE with
the aid of these similarity variables.
ICMMSND119
S*P* Connected Spaces And S*P*Compact Spaces in Topological Spaces
R. Sudha1
, V.E. Sasikala
1
Department of Mathematics, Vels Institute of Science, Technology and Advanced Studies,
(VISTAS) Pallavaram, Chennai. India.
E-mail: sasikala.sbs@velsuniv.ac.in.
The Goal of this research paper is to present and explore the two new concepts of
topological spaces is termed as s*p*connected and s*p* compact using s*p*closed set. And
we study some fundamental properties of these topological spaces and also examine its
relationship with existing spaces with suitable examples.
ICMMSND120
Enhancing Reliability and Cost of a Combed Yarn Production Mill
using Boolean Function Extension Algorithm and Neural Network
Approach
Priya Chaudhary1
, Shikha Bansal1
1
Department of Mathematics, SRMIST, Delhi, NCR campus, Modi Nagar.
E-mail: po7353@srmist.edu.in,srbansal2008@gmail.com.
This research evaluates the reliability of a mill that produces combed yarn. The five
subsystems of the combed yarn-producing system are arranged in a certain sequence.
Mathematical models may accurately describe the dependability of a system. These models
have been studied using techniques such as Boolean function extension and neural networking
approaches. These techniques help to simplify complex systems. The main objective of this
research is to measure the financial and dependable aspects of producing combed yarn using a
neural network approach in MATLAB. The cost and reliability criteria have been determined
using a mathematical model of the combed yarn produced. Weibull and exponential time
distributions have been utilized to assess system dependability. To emphasize the main findings
of this investigation, a graphic designer performed numerical calculations.

2024, Feb. 15th
& 16th
14
ICMMSND121
Modeling Rayleigh-Benard Convection In A Fluid With Electrical
Conductivity
Gifteena Hingis Y M1
, M. Muthtamilselvan1
1
Bharathiar University, Coimbatore.
E-mail: gifteena21@gmail.com, muthtamil1@buc.edu.in.
The study focuses on examining the impact of a time-dependent and constant
gravitational field on an electrically conducting fluid layer through weakly nonlinear stability
analysis. Small perturbations with low amplitude are applied to physical quantities such as fluid
velocity, energy, and magnetic flux to simplify the nonlinear model. An amplitude equation is
obtained by considering the solvability condition for the oscillatory mode of convection. Heat
transfer is quantified in terms of the Nusselt number using this amplitude, and the study
explores the influence of various system parameters on heat transfer. The study reveals that
heat transfer is enhanced by factors such as the Prandtl number, magnetic Prandtl number, and
amplitude of modulation. Conversely, the Chandrasekhar number and modulation frequency
are found to reduce heat transfer. Furthermore, it is observed that heat transfer is more
significant in the oscillatory mode compared to the stationary mode. Finally, the study suggests
that gravity modulation can be effectively utilized to either augment or diminish heat transfer.
ICMMSND123
Application of Butcher’s Sixth Order Runge Kutta Methods in Magdm
Using Intuitionistic Triangular Fuzzy Sets
P. Kavitha1
, S. Akila
1
PG Research Department of Mathematics, TheivanaiAmmal College for Women (A),
Villupuram.
E-mail: kavitha0403@gmail.com, akila2829@gmail.com.
MAGDM is the one of the best choice out of alternative solutions. The Data set is
adopted from the Intuitionistic Triangular Fuzzy Number Matrices. The weights are calculated
from some order of Runge-Kutta Methods. We applied the solutions of Intuitionistic Triangular
Fuzzy Weighted Geometric (ITrFWG) operator and the Intuitionistic Triangular Fuzzy Hybrid
Geometric (ITrFHG) operator by using decision making. New Extended Normalized Hamming
Distance Formula is exerted for ranking the alternatives. Numerical Illustration is given in this
paper with elasticity and effectiveness.

2024, Feb. 15th
& 16th
15
ICMMSND124
A Computational Analysis of Bond Valuation with Finite Difference
Schemes Under Hull White Model
Indu Rani1
and Chandan Kumar Verma1
1
Mathematics, Bioinformatics and Computer Applications, Maulana
Azad National Institute of Technology, Bhopal, 462003, Madhya Pradesh, India.
E-mail: indu199913@gmail.com.
This study aims to utilize several finite difference schemes (FDS) to the partial
differential equation for bond pricing, where the stochastic interest rate obeys the Hull White
model in which the interest rate derivative considered is particularly the zero coupon bond
(ZCB). The interest rate derivatives (IRD) are the most actively traded financial derivatives
based on a variety of underlying assets, and their valuation is primarily dictated by the Hull
White model. Finite difference schemes have become highly prominent in the field of financial
mathematics, particularly in asset pricing. The paper begins with an introduction to the Hull
White model, along with its associated partial differential equation and the finite difference
formulation of the model for pricing zero coupon bonds. The numerical outcomes of the Crank-
Nicolson scheme closely align with the analytical solutions, indicating that CN is an effective
method for valuing zero-coupon bonds (ZCB). The paper concludes by outlining potential areas
for future research in pricing Interest Rate Derivatives (IRD) utilizing a Partial Differential
Equation (PDE) approach.
ICMMSND125
A Novel Sampled-Data Control for Reachable Set Estimation of Nonlinear
Multiagent Systems
V. M. Janani1
, B. Visakamoorthi2
, P. Muthukumar1
, Sung-ho Hur2
1Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University),
Gandhigram - 624 302, Tamil Nadu, India.
2School of Electronic and Electrical Engineering, Kyungpook National University, Daegu
41566, South Korea.
E-mail:jananivmgri@gmail.com, pmuthukumargri@gmail.com.
This article examines the reachable set estimation problem for leaderless multiagent
systems with Lipchitz nonlinear dynamics and bounded input disturbances via novel sampled-
data control. First, a new time-dependent sampled-data control technique is proposed for
nonlinear multiagent systems. In contrast to the conventional approach, the developed control
signal includes a sampling-time variable that varies over time within each sampling interval.
Next, the primary Lyapunov term consists of the aperiodic sampling in various degrees, hence
becoming discontinuous. Furthermore, sufficient reachable set conditions are derived as linear
matrix inequalities by utilizing the two-sided looped functional and Wirtinger’s inequality-
based discontinuous Lyapunov-Krasovskii functional. In the end, the numerical section
validates the applicability and the less conservatism of the proposed control method.

2024, Feb. 15th
& 16th
16
ICMMSND126
A Study on Coupled System of Symmetric Fuzzy Fractional Pantograph
Stochastic Differential Equations Driven by Fractional Brownian Motion
M Latha Maheswari1
, E Angeline Prashanthi1
1
Department of Mathematics, PSG College of Arts and Science, Coimbatore, 641 014, India.
E-mail: lathamahespsg@gmail.com, angeline17691@gmail.com.
In this paper, we considered a coupled system of symmetric fractional fuzzy pantograph
stochastic differential equations with diffusion and drift parts. The diffusion terms are driven
by fractional Brownian motion. We create an approximation sequence of fuzzy stochastic
process by imposing Lipschitzian continuity and additional constraints by an integrable
stochastic process on the mappings occurring in the equations. Using this method, we
demonstrate the existence of a unique solution.
ICMMSND127
Event-Triggered Non-Fragile Control for Uncertain Networked Control
System with Time-Varying Delay
T Narenshakthi1
, S Dharani1
1
Vellore Institute of Technology, Vellore.
E-mail: narenshakthi.t2023@vitstudent.ac.in.
In this paper, an event-triggered non-fragile control for the uncertain networked control
systems is investigated. Initially, a more general event-triggering scheme (ETS) is proposed
for the non-fragile NCSs. Then, the NCSs with uncertainties and external disturbances are
designed such that the closed loop system is asymptotically stable. Further, based on
Lyapunov-Krasovskii functional sufficient conditions for asymptotically stable is obtained in
terms of a set of LMIs. The numerical example is provided to illustrate the performance of the
proposed approach using MATLAB.
ICMMSND128
Pseudo-Differential Type Operator Involving Hankel Type Translation and
Hankel Type Convolution on Gevrey Spaces and Its Continuity
B. B. Waphare1
, R. Z. Shaikh1
1
Department of Mathematics, MAEER's MIT Arts, Commerce & Science College
Alandi(D), Pune-412105, Maharashtra, India.
E-mail: balasahebwaphare@gmail.com; shaikhrahilanaz@gmail.com.
In this paper, the pseudo-differential type operator hα,β,a involving Hankel type
translation 𝜏 and Hankel type convolution is investigated and shown that it is a continuous
linear map of one Gevrey space into another Gevrey space.

2024, Feb. 15th
& 16th
17
ICMMSND130
Linear Quadratic Stackelberg Game for Mean-Field Backward Stochastic
System with Poisson Jumps And Partial Information
G. Saranya1
, P. Muthukumar1
1
Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University),
Gandhigram - 624 302, Tamil Nadu, India.
E-mail: saranyaganesangri@gmail.com, pmuthukumargri@gmail.com.
This paper addresses the finite horizon linear quadratic Stackelberg game involving a
backward stochastic system of mean-field type with jumps and partial information. In this
context, the leader's information is a sub-σ-algebra of the follower's information. Initially, we
solve the optimal control problem for the follower. Subsequently, utilizing the optimal control
obtained for the follower, we proceed to solve the problem for the leader. Through the
utilization of the stochastic maximum principle and stochastic filtering technique, we derive
four Riccati equations along with the filtering equation of state. Finally, the Stackelberg
equilibrium in feedback form is achieved.
ICMMSND132
Improving Option Price Prediction with A CNN-GRU Hybrid Framework
Akanksha Sharma1
, Chandan Kumar Verma1
1
Mathematics, Bioinformatics and Computer Applications, Maulana Azad National
Institute of Technology, Bhopal, 462003, Madhya Pradesh, India.
E-mail: akanksha199906@gmail.com.
Establishing reasonable option prices holds immense importance in upholding financial
market stability as it enables investors to hedge their investments effectively and minimize
potential losses. Traditional parametric option pricing models face limitations due to unrealistic
economic and statistical assumptions, as well as the computational demands for parametric
calibration. Hence, there's a strong rationale for employing a data-driven approach centered on
non-parametric models. Deep Learning has garnered great interest in the financial sector,
particularly concerning option pricing. This study introduces a Convolutional Neural Network
- Gated Recurrent Unit Hybrid model to predict the price of S&P 500 options. Seven technical
indicators, carefully chosen for illuminating past price patterns and trends, are introduced as
special features. Six evaluation metrics are used to compare the performance of models- MAE,
RMSE, MAPE, R2, Max Error, and MedAE. Predicted results show that the hybrid model can
accurately predict option prices and help investors make smart financial decisions. This
analysis demonstrates the efficacy of integrating deep learning models with technical indicators
(TIs) for option pricing. Additionally, to ascertain the quality of discussed models, significant
statistical tests are applied to compare their performances in option pricing.

2024, Feb. 15th
& 16th
18
ICMMSND134
Mathematical Analysis of Amperometric Biosensor with Chemically
Modified Electrodes
Mallikarjuna M1
, Senthamarai R1
1
Department of Mathematics, Collage of Engineering and Technology, SRM Institute of
Science and Technology, Kattankulathur, 603203, Tamil Nadu, India.
E-mail: mm0965@srmist.edu.in, senthamr@srmist.edu.in.
A mathematical model of amperometric biosensor in case of chemically modified
electrode is analysed in this article. The model is a steady-state reaction-diffusion equation with
the non-linear terms related to non-Michaelis-Menten kinetics. Closed-form analytical
expression is obtained by utilizing Akbari-Ganji method and Taylor’s series method. These
methods proved to be fit for all the values of parameters of the system. The analytical
expressions for biosensor current, sensitivity and resistance are also presented and discussed.
Numerical solutions of the governing equations are obtained by using the MATLAB software
and it is noted that there is a satisfactory agreement when comparing the analytical solution
with numerical solution for all possible parameter values.
ICMMSND135
Modelling the Switching Concept in Signed Petri Nets
P. Suguna1
, Priyanka I1
1
Department of Mathematics, Government Art College (Autonomous), Coimbatore – 18.
E-mail: sugunadevadas@yahoo.com, priyankairanimose@gmail.com.
Petri Net is one of the basic model for asynchronous system of concurrent activities.
The notion of signed graphs and Petri Net combined to form Signed Petri Net. This paper starts
with a brief review of signed graphs and signed Petri Nets. It then proceeds with introductory
modelling examples. The concept of switching in signed graphs leaves the signed-graphic
matroid invariant. This notion of switching is extended to Petri Net via Signed Petri Nets and
its characterization is given.
ICMMSND136
An Introduction to Power Set Disjoint Graphs
N Murugesan1
, P Suguna1
, C. Adhira1
1
Department of Mathematics, Government Arts College (Autonomous), Coimbatore-18.
E-mail: adhiraanandhu@gmail.com.
In this paper, we discuss a set of graphs called Power Set Disjoint Graphs (PSDG’s).
The elements of the power set of a set are considered as vertices of the graph and the absence
of common elements between subsets are considered to define the edge between the vertices.
The PSDG’s have their own structural representations and unique properties. The enumeration
properties, some graph theoretical parameters such as domination number, chromatic number
are discussed in this paper.

2024, Feb. 15th
& 16th
19
ICMMSND137
Theoretical Analysis of Non-Steady-State Amperometric Biosensor in Case
of Enzyme Allostery
Jegan K1
, Senthamarai R1
1
Department of Mathematics, Collage of Engineering and Technology, SRM Institute of
Science and Technology, Kattankulathur, 603203, Tamil Nadu, India.
E-mail: jk6631@srmist.edu.in, senthamr@srmist.edu.in.
In this paper, the mathematical model of amperometry biosensor in the case of enzyme
allostery is analysed. The model is a non-steady-state reaction-diffusion equations with non-
linear terms related to the non-Michaelis-Menten kinetics. The closed-form analytical
expressions for substrate and product concentrations are obtained by utilizing the Laplace
Homotopy perturbation method. Numerical solution of the governing equation is obtained by
utilizing the MATLAB software, it is seen that for every feasible parameter’s value, the
analytical and numerical results correspond satisfactorily. Also, the analytical expressions of
the non-steady-state current is also presented.
ICMMSND138
Theoretical Investigation of The Tangent Hyperbolic Nanofluid Flow
Through the Cone and Disc
E. Ragupathi1, D. Prakash1
1
Department of Mathematics, Faculty of Engineering and Technology, College of
Engineering andTechnology, SRM Institute of Science and Technology, Kattankulathur,
603203, Tamilnadu, India.
E-mail: rkoragu04@gmail.com, prakashd1@srmist.edu.in.
The current analysis aims to explore the heat and mass transport aspects of the Ethylene
glycol-water-based nanofluid through the conical gap between the cone and disc. The tangent
hyperbolic fluid model is incorporated to model the conservation of momentum equation. Here,
the 50%:50% water-ethylene glycol mixture is accepted as a base fluid. Iron oxide (Fe3O4) and
silver (Ag) nanoparticles are dispersed in the base fluid to prepare the nanofluid. The heat
transfer mechanism is developed with the help of the non-uniform heat source/sink effect. Also,
the Newtonian heating effect is accounted to model the boundary condition. The system of
partial governing equations is converted into the highly nonlinear ordinary differential equation
(ODE) by employing the appropriate similarity transformation and the highly nonlinear ODEs
are resolved via the Homotopy Analysis Method and Runge-Kutta-Fehlberg method along with
a shooting technique. The significance of the various combinations of non-dimensional
parameters is discussed through the graphical illustrations. Also, the skin-friction force and
heat and mass transfer rates are deliberated via tables. The obtained numerical solutions had
met excellent agreement with the previously published results. The present model can be
applied to electronics cooling systems, food processing, food industry, drug delivery systems
cosmetic and pharmaceutical industries.

2024, Feb. 15th
& 16th
20
ICMMSND141
Thermal Convection in a Rotating Anisotropic Porous Medium using
Thermal Non-Equilibrium Model
N. K. Enagi1, Sridhar Kulkarni2
1
KRCE Society’s GGD Arts, BMP Commerce and SVS Science Degree College, Bailhongal,
Karnataka, India.
2
Government First Grade College, Gokak-591307, Karnataka, India.
E-mail: nkenagi@gmail.com.
The stability of a horizontal fluid saturated rotating anisotropic porous layer heated
from below and cooled from above is investigated analytically when the fluid and solid phases
are not in local thermal equilibrium. The Darcy model includes coriolis term, to study the effect
of rotation in the momentum equation. A two-field model equation with anisotropic term, each
representing solid and fluid phase is used for energy equation. It is assumed that the porous
layer is anisotropic and solid and fluid phases have identical temperatures at the bounding
surfaces. The linear stability theory is used to calculate the Rayleigh number and corresponding
wave number for the onset of convection. The effect of anisotropic permeability and rotation
on the onset of convection is shown graphically. It is found that the thermal anisotropy and
rotation stabilizes the system, whereas mechanical anisotropy and conductivity ratio
destabilizes the system.
ICMMSND142
An Analytical Approach of A Non-Linear Mathematical Model For Pest
Control In Jatropha Curcas With Integrated Pesticides By Homotopy
Perturbation Method
E. Jenitta1, R. Senthamarai1
1
Department of mathematics, College of Engineering and Technology, SRM Institute of
Science and Technology, Kattankulathur – 603203, Tamil Nadu, India.
E-mail: senthamr@srmist.edu.in.
In this paper, the Homotopy Pertubation Method is used to mathematically analyze a
non-linear mathematical model for pest control in Jatropha curcas with integrated pesticides.
The model under consideration addresses the control of pests using integrated approach i.e.
using combination of bio-pesticides and chemical pesticides.Pesticides often cause delayed
effect on pests. Considering this effect, delay is introduced in the proposed system and
analytically approached by HPM. The numerical simulation of the proposed system is also
reported using MATLAB. There is additional discussion of how different parameters affects
the system.

2024, Feb. 15th
& 16th
21
ICMMSND144
Stability of Quaternion Neural Networks with Proportional Delay and
Mixed Time Varying Delay
Jincy Jacob1
, S Dharani1
1
Vellore Institute of Technology, Vellore.
E-mail: jincy.jacob2023@vitstudent.ac.in.
In this paper, the stability of quaternion-valued neural networks (QVNNs) with
proportional delay and mixed time vaying delay is studied. Rather than breaking down the
QVNNs into four real-valued neural networks or two complex-valued neural networks, we are
taking the QVNNs as a whole into consideration. Sufficient requirements on the global
asymptotical stability are derived for the proposed model by building appropriate Lyapunov–
Krasovskii functionals, combining free weight matrix, and matrix inequalities. Finally, the
effectiveness of theoretical analysis is illustrated by a numerical simulation.
ICMMSND146
Measuring Distance Between Intuitionistic Fuzzy Binary Soft Sets – Two
Term Approach
H. Sivasankari1
, Dr. J. Subhashini1
1
PG and Research Department of Mathematics, St.John’s College, Palayamkottai,.
E-mail: h.sankari1998@gmail.com.
Maji et al. pioneered a basic inquiry into the field of uncertainty handling by
initiating a study involving fuzzy sets and soft sets. In 2016, Acikgoz and Nikal Tas [1] laid
the framework for later advances by defining the fundamental structures of binary soft sets
across two initial universal sets, U1 and U2. Later In 2020, Dr. J. Subhashini and Dr. P. Gino
Metilda [2] investigated the fundamental structure of fuzzy binary soft sets, gaining valuable
insights into the merging of fuzzy and soft set theories. Building on these advances, we
introduced an extension namely, Intuitionistic Fuzzy Binary Soft Sets (IFBSS), over two initial
universal sets, U1 and U2. We present new definitions for distances between Intuitionistic Fuzzy
Binary Soft Sets, In this paper, we would like to measure the distance between two Intuitionistic
Fuzzy Binary Soft Sets using two term approach (involves both the membership and non-
membership function). In particular, we present four fundamental distance metrics: Hamming
distance, normalized Hamming distance, Euclidean distance, and normalized Euclidean
distance.

2024, Feb. 15th
& 16th
22
ICMMSND147
Compactness and Connectedness in Beta Weakly Semi – Closed Sets in
Topological Spaces
S. Saranya1
, V.E. Sasikala1
1
(VISTAS), Pallavaram, Chennai, India.
E-mail: saranyasakthi41@gmail.com, sasikala.sbs@velsuniv.ac.in.
In this paper, a new class of Beta weakly semi-closed sets namely compactness and
connectedness in Beta weakly semi-closed sets in Topological spaces. We investigate the basic
facts in the Beta weakly semi – closed sets in terms of compactness and connectedness in Beta
weakly semi-closed sets, and we get several characterizations and some of their properties.
Also, we investigate its relationship with other types of functions.
ICMMSND148
SWG Locally Connected Spaces in Topological Spaces
V.E. Sasikala1
1
(VISTAS), Pallavaram, Chennai. India.
E-mail: sasikala.sbs@velsuniv.ac.in.
In this paper we introduce and study three different notions of swg continuity, namely
swg-LC-irresoluteness, swg-LC-continuity and sub-swg-LC-continuity. All three notions are
defined by using the concept of a swg-locally closed set. A subset S of a topological space X
is swg locally closed if it is the intersection of an open and a closed set. We discuss some
properties of these functions and show that a function between topological spaces is swg
continuous if and only if it is swg sub-LC-continuous and each of which is weaker than swg
locally closed set and study some of their properties in topological spaces.
ICMMSND149
Validation of RPARD and LR-IADS Anomaly Detection Techniques Using
TOPSIS
S. Senthil Kumar1
1
Department of Information Technology, Sri Ramakrishna Mission Vidyalaya College of
Arts and Science, (Autonomous), Periyanaickenpalayam, Coimbatore.
E-mail: ssksnsmca@gmail.com.
The common situations in financial oriented transaction are the anomalous transactions
detecting such transactions are indeed a complex task. In this paper, we consider the three
anomaly detection techniques Fuzzy Exception and Fuzzy Anomalous Rule (FEFAR), Rule
Pruning based Anomalous Rule Detection Strategy (RPARD) and Lasso Regression based
Improved Anomalous Detection Scheme (LR-IADS). FEFAR is a technique that is widely
available and accepted whereas the techniques RPARD and LR-IADS were proposed recently.
Now, to show the effectiveness of the new techniques we use the decision making method
TOPSIS. Using this technique, we try to show that the best alternative after detecting the
attributes still remain the same.

2024, Feb. 15th
& 16th
23
ICMMSND153
An Analysis of Two Deteriorated Product Inventory System
with Compulsory Waiting Period Upon Reorder
Viswanath. J1
, Kavita. A. P. 1, Rohith.G 1
, Sreelakshmi. S 2
1
Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of
Science and Technology, Avadi, Chennai 600062, India
2
Department of Engineering Mathematics, HKBK College of Engineering,
Nagawara, Bengaluru 560045, India
E-mail: kavitaap822@gmail.com,
This article exposes the performance of a continuous review of two deteriorated product
inventory system with the restriction of compulsory waiting period (CWP) upon replenishment.
Two un-identical items are considered for sale. Restricted instantaneous replenishment policy
is adopted by which both the products filled up to their maximum level at the epoch when the
inventory level of either first or second product reaches the level in CWP free environment.
Else, the system waits for the expiry of CWP even if the inventory level of any one or both
falls to. Demand for each items follow independent Poisson process with the rate and
respectively. CWP is assumed to follow an exponential distribution with mean. Mean
deterioration rate of items are and respectively. Markov structure is identified and integral
equations for the state probabilities are formulated and the steady-state balance equations are
derived. All long run probabilities are arrived by mathematical computation using MATLAB
coding. Stationary performance measures like mean number of replenishments, mean number
of demands satisfied and mean number of demands lost are obtained. The model is validated
by numerical illustration.
ICMMSND154
On the Construction of Bivariate Fractal Interpolation Functions
M. P. Aparna1, P. Paramanathan1
1
Department of Mathematics, Amrita School of Physical Sciences, Coimbatore,
Amrita Vishwa Vidyapeetham, India
E-mail: mp_aparna@cb.students.amrita.edu, p_paramanathan@cb.amrita.edu
This survey article primarily intends to explore the significance of the endpoint
conditions imposed on the iterated function systems in ensuring the well definiteness of the
fractal interpolation operator and thereby the continuity of the fractal interpolation functions.
It provides an extensive explanation on the construction of bivariate fractal interpolation
functions. This article mainly focusses on the two dimensional interpolating domains. The
central problem in formulating the iterated function system over higher dimensional
interpolating regions, the continuity of the generated fractal interpolation functions, is
mentioned in this article with their possible reasons. Secondly, this article addresses the
different techniques implemented so far, in creating continuous fractal interpolation functions
over the two-dimensional interpolating regions, especially the triangular and the rectangular
domains. This article further highlights the importance of the fractal interpolation method over
conventional interpolation techniques in approximating the irregular data sets.

2024, Feb. 15th
& 16th
24
ICMMSND155
Finite Element Method for Singularly Perturbed Delay Differential
Equation of Reaction Diffusion Type
Lakshmi.G1
1
Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur –
603 203
E-mail: glakshmi2901@gmail.com
To develop the numerical scheme for singularly perturbed delay differential equations
of reaction diffusion problems using finite element method. A differential equation with a small
positive parameter multiplying at the highest derivative term subject to boundary conditions
belongs to a class of problems known as singular perturbation problems. Singularly perturbed
boundary value problems appear in many branches of applied mathematics. The solution of
singular perturbation problems has non-uniform behaviour. A subclass of these equations
consists of singularly perturbed ordinary differential equations with a delay. Such type of
equations arise frequently in the mathematical modelling of various practical phenomena, for
example, in modelling of automatic system, population dynamics, nonlinear optics etc..
Asymptotic numerical method and streamline diffusion finite element method are presented
for solving second order singularly perturbed delay differential equations of reaction diffusion
type.
ICMMSND156
Bipartite synchronization of fractional order coupled delayed memristor
neural networks with quantized pinning control
P. Babu Dhivakaran1, A. Vinodkumar1
.
1
Amrita Vishwa Vidyapeetham, INDIA.
E-mail: babudhiva@gmail.com, vinod026@gmail.com
This paper investigates the bipartite synchronization of fractional order coupled delayed
memristor neural networks established by the Laplace transform method and decoupling
technique for the characteristic equation. These conditions are established by delay
independent coefficient-type criteria. Finally, numerical examples are given to show the
effectiveness of our results.

2024, Feb. 15th
& 16th
25
ICMMSND157
Local Meshless Method for Space Time Fractional Diffusion Problems
Revathy J M1, Chandhini G1
1
Department of Mathematical and Computational Sciences, National Institute of Technology
Karnataka, Surathkal 575025, India.
Email: revathymadathara@gmail.com, chandhini@nitk.edu.in
Space-time fractional diffusion equations, particularly those incorporating the fractional
Laplacian, are crucial for modeling intricate challenging problems in nature. This paper
introduces a numerical approach to address such problems, employing a local radial basis
function approximation for solving a space-time fractional diffusion problem involving a
fractional Laplacian operator. The directional representation of the fractional Laplacian is used.
The spatial derivatives are discretized through a local RBF-based finite difference method,
while the fractional time derivative is approximated using L1 method. We present and compare
the results obtained through our proposed scheme with those documented in existing literature.
ICMMSND158
A New Approaches of Fractional Integral of Nonlinear Fractal Function
and its Application
Kavitha C1, A. Gowrisankar1
1
Vellore 632 014, Tamil Nadu, India
E-mail: cmallikakavi@gmail.com , gowrisankargri@gmail.com
This paper investigates the fractional integral of the nonlinear fractal interpolation function
corresponding to the iterated function systems employed by Rakotch contraction. We
demonstrate, how the scaling factors affect the pliability of fractal functions and their different
fractional orders of the Riemann fractional integral using certain numerical examples. The first
part of this paper focuses on the nonlinear fractal function of fractional integral and its fractal
dimension is investigated. The second part provides a fruitful numerical simulation for the
concepts of fractal function and their fractional integral with linear and nonlinear scaling
factors. In addition, this work studies a reconstitution of epidemic curves from the perspective
of a nonlinear fractal interpolation function and discusses the comparison between graphs of
linear and nonlinear fractal functions.

2024, Feb. 15th
& 16th
26
ICMMSND160
Graph-Based Learning for Traffic Patterns: A Comparative Analysis of
Graph Neural Networks
Sundari K1, A Senthil Thilak1
1
National Institute of Technology Karnataka, Surathkal
E-mail: sundarikrishnaperumal@gmail.com, thilak@nitk.edu.in
Graph-based learning emerges as a pivotal tool for unraveling intricate traffic dynamics.
This study explores the effectiveness of graph neural networks (GNNs) in modeling and
understanding traffic patterns, comparing their performance with traditional methods.
Leveraging diverse real-world traffic datasets, including urban road networks and intersections,
we assess GNNs’ ability to capture spatial dependencies and predict dynamic traffic conditions.
Comparative analyses against conventional machine learning models highlight the advantages
of GNNs in adapting to complex network structures. Our findings underscore the superior
performance of GNNs, offering insights into their interpretability and potential for enhancing
traffic management systems. This research contributes valuable knowledge to the field of
transportation planning, laying the groundwork for the development of intelligent solutions to
optimize urban mobility.
ICMMSND161
Iterated Function System on Complete Ultrametric Space
R. Gandhimathi1, A.Gowrisankar1
, D.Ramesh Kumar1
1
Department of Mathematics, School of Advanced Sciences, Vellore
Institute of Technology, Vellore, Tamil Nadu 632 014, India
E-mail: mathmathi0198@gmail.com, gowrisankargri@gmail.com
This study demonstates that how an iterated function system (IFS) generate the fractal in
ultrametric space. The ultrametric iterated function system (U-IFS) is a tool that aids in the
growth of the fractal in the complete ultrametric space. Fractal generation in ultrametric space
is an intriguing area of research that investigates the connection between fractal patterns and
spatial structure. Ultrametric space, which is a mathematical concept in metric geometry,
provides a unique framework for understanding fractal dimensions and their applications. A
new route towards fractal geometry open up by the recent developments in U-IFS and fractal
set in ultrametric space.

2024, Feb. 15th
& 16th
27
ICMMSND162
Neutrosophic Fuzzy Soft Sets and it’s Application in Decision Making
Priya Mathews1, Lovelymol Sebastian2
1
Assistant Professor, Department of Mathematics, St Thomas College Kozhencherry,
Pathanamthitta, Kerala, India, Pin:689641.
2
Associate Professor, Department of Mathematics, MES College Nedumkandam,
Idukki, Kerala, India.
E-mail: priyamathews@stthomascollege.info, lovelymaths95@gmail.com
The objective of this study is to expand upon the notion of Neutrosophic soft set theory.
The text provides fundamental explanations of Neutrosophic fuzzy soft set theory using the
terminology of Neutrosophic soft set theory, accompanied by appropriate illustrations.
Subsequently, theoretical research has been conducted on several conventional operations of
NFSSs.A decision-making theory has been proposed by creating a suitable solution algorithm,
specifically the score function algorithm. A case study is then shown to demonstrate the
effectiveness of the suggested technique.
ICMMSND164
Finite-Time Sampled-Data-based Synchronization Criteria for Variable-
Order Fractional Neural Networks
R Kiruthika1, A Manivannan1
1
Division of Mathematics, School of Advanced Sciences,
Vellore Institute of Technology, Chennai 600127, Tamil Nadu, India.
E-mail: manivannan.a@vit.ac.in
This paper intends to tackle the problem of finite-time synchronization of variable-order
fractional neural networks (VOFNNs) through sampled-data control (SDC) method. A new
variable-order-based fractional inequality is derived based on the definition of a variable-order
fractional derivative. A slave system corresponding to the master system is constructed, and to
achieve synchronization, a SDC scheme is implemented in the control input of the slave
VOFNNs. A new class of Lyapunov Krasovskii functional for the VOFNNs of the masterslave
systems is obtained to guarantee the error systems to be asymptotically stable in finite time.
The obtained conditions for the VOFNNs are derived in the form of linear matrix inequality,
which ensures that the error systems will be asymptotically stable in finite time. Finally, a
numerical simulation is presented, and the superiority of the proposed control method is
verified.

2024, Feb. 15th
& 16th
28
ICMMSND167
Analysis of El-Nino effects on climate change using fractal dimension
M. Meenakshi1, A. Gowrisankar1
,
1
Department of Mathematics, School of Advanced Sciences,
Vellore Institute of Technology, Vellore 632 014, Tamil Nadu, India
E-mail: meenakshiyayatirajan@gmail.com
Climate change and natural disasters caused by global warming are experienced by
everyone. Researchers from several fields have attempted to control the causes of global
warming as well as the reasons behind the various natural disasters. The El_Nino factor which
contributes to global warming, is examined in this article. Warm ocean currents develop off
the coast of Peru in South America around December, a phenomenon known as El Nino, which
is caused by atmospheric and oceanic factors. It impacts the movement of the monsoon winds
and raises the temperature of the sea’s surface. The El-Nino effects on sea temperature and
precipitation in the Pacific Ocean and adjacent continents are being studied in this research
using fractal dimensions.
ICMMSND168
Lyapunov Conditions for the Finite-Time Stability of Fractional Order
Disturbed Nonlinear Systems
Reshma Ramaswami1, Vinodkumar A1
1
Department of Mathematics, Amrita School of Physical Sciences, Amrita Vishwa
Vidyapeetham, Coimbatore, 641112.
E-mail: r_reshma1@cb.students.amrita.edu,a_vinodkumar@cb.amrita.
We introduce Lyapunov conditions for the finite time stability of fractional order nonlinear
systems with external disturbances. Both cases with vanishing and non-vanishing disturbances
are taken into consideration. Some examples and their simulations are provided illustrating the
validity of the proposed results.

2024, Feb. 15th
& 16th
29
ICMMSND169
Symmetry and Novelty: Unveiling new solutions in the 3+1 generalized
Kadomtsev-Petviashvili equation
J Mohammed Zubair Ahamed1
, R Sinuvasan1
1
School of Advanced Sciences, VIT-AP University, Andhra Pradesh, India.
E-mail: zubair.21phd7142@vitap.ac.in, sinuvasan.r@vitap.ac.in
This study employs the Lie symmetry analysis method to investigate the 3+1 generalized
Kadomtsev equation featuring an arbitrary nonlinear function. Through this approach, we
identify the Lie point symmetries of the equation and subsequently employ a one-dimensional
optimal system to derive a set of sub-algebras. These sub-algebras lead to all possible
inequivalent classes of invariant solutions.
Additionally, through a thorough analysis of the 3+1 generalized Kadomtsev equation
using symmetry reduction, we uncovered novel exact solutions for the equation, appearing in
arbitrary functional forms. This characteristic allows for the derivation of numerous special
solutions, some of which are enumerated in the study. This work provides a structured
framework for exploring its diverse solution space, aligning with the methodology seen in
previous papers utilizing Lie symmetry methods. Also contributing to a comprehensive
understanding of the equation's behavior and potential implications in various mathematical
and physical domains.
ICMMSND170
CONTINUOUS-TIME DISTRIBUTED SUBGRADIENT ALGORITHM
FOR QUASICONVEX MULTI-OBJECTIVE OPTIMIZATION
PROBLEMS
M.Muthukani1
, P. Paramanathan1
1
Amrita Vishwa Vidyapeetham, India
E-mail: m_muthukani@cb.students.amrita.edu
Multi-objective optimization problems are employed to identify optimal solutions that strike
a balance among multiple competing goals, and quasiconvexity introduces additional
challenges to such problems. This paper proposes a continuous-time distributed subgradient
algorithm tailored for quasiconvex multi-objective optimization problems. The algorithm
facilitates the distribution of decision variables across multiple agents. The subgradient aids in
steering the system towards Pareto optimal solutions. Additionally, convergence analysis and
numerical examples are provided to substantiate the effectiveness of the proposed algorithm.

2024, Feb. 15th
& 16th
30
ICMMSND171
Dynamical complexity in a modified Leslie-Gower interacting species
system with both Allee and hunting phenomena
Lakshmi Narayan Guin1
1
Visva-Bharati, Santiniketan-731235, India
E-mail: guin_ln@yahoo.com
The dynamical complexity in a modified Leslie-Gower predator-prey model, enhanced by
the additive Allee effect and cooperative hunting, is thoroughly examined in this research. In
addition to a variety of local and global bifurcations, including saddle-node, Hopf, Bogdanov-
Takens, transcritical, cusp, homoclinic, and limit point cycle (LPC), the model demonstrates
bistability and global asymptotic stability. These bifurcations are used to illustrate the model
system's complex dynamical structure. In a two-dimensional (2D) plane, the evolution of
diffusion-driven pattern generation in spots, stripes, labyrinthines, mixtures of stripes and
holes, and hole replication is presented. The Allee effect and the hunting cooperation of the
reaction-diffusion system influence these spatial patterns. The theoretical outcomes
are validated, and their biological consequences are assessed by numerical simulations, which
yield consistently strong and supported theoretical findings.
ICMMSND172
Effect of Interfacial Nanolayer And Mixed Convection on Hybrid
Nanofluid Over A Rotating Cone in A Rotating Fluid
Revathi Devi M1, Narsu Sivakumar 1
1
Department of Mathematics, SRM Institute of Science and Technology,
Kattankulathur-603 203, Chengalpattu, Tamil Nadu, India.
E-mail: rm9073@srmist.edu.in, narsusic@srmist.edu.in
This paper investigates mixed magneto-Hybrid nanofluid flow over a rotating a cone in a
rotating fluid with thermal radiation and joule heating. Features of hybrid nanofluids—which
combine water as the base fluid with nanoparticles like Fe3O4 and Cu —are examined.
Moreover, the influence of liquid-solid interfacial layers on thermal integrity offers insights
into how these layers affect boundary conditions, flow behavior, and overall heat transfer rates
in various applications are investigated. The magnetic effect, mixed convection, thermal
radiation, and joule heating are all considered in the governing flow model. The boundary layer
assumptions are used to generate a PDE system to describe the flow. The
similarity transformation process is used to convert the PDE to an ODE. The BVP solver in
Python is utilized to solve the ODE. This study may improve the design and optimization of
modern cooling systems for rotating gear like aeronautical gas turbines and power production
turbines. Turbine blades and rotors in these systems are heated to high temperatures, therefore
effective cooling improves performance, durability, and efficiency. Additionally, it determines
the friction factor for the tangential and azimuthal directions, as well as local Nusselt number.
The current observation are in excellent offer with the prior research.

2024, Feb. 15th
& 16th
31
ICMMSND173
Induced Implications of Graph Pebbling on Saturated Polycyclic Aromatic
Compounds
Sindhu J Kumaar1
, Lydia Mary Juliette Rayen A1
1
Department of Mathematics And Actuarial Sciences, B S Abdur Rahman Crescent Institute
of Science and Technology.
E-mail: lydiamaryjuliette_maths_july2023@crescent.education, sindhu@crescent.education .
A molecular graph is a finite simple graph, representing the carbon-atom skeleton of an
organic molecule of a hydrocarbon. The vertices of a molecular graph represent the carbon
atoms and its undirected edges the carbon-carbon bonds. For a given graph G = (V, E) is a
connected molecular graph, we consider placing some pebbles on the vertices, and define a
pebbling move to be removing two pebbles from a vertex and placing one pebble on an adjacent
vertex. This operation, known as graph pebbling, The pebbling number of a graph is the
smallest number, π of pebbles so that no matter what way the π pebbles are placed on the graph,
we can move a pebble to any vertex. Polycyclic aromatic compounds (PACs) include
polycyclic aromatic hydrocarbons (PAHs). Such polycyclic compounds are said to be saturated
if all the bonds of the carbon atoms, beyond the minimum needed for carbon-carbon bonding,
are linked to hydrogen atoms. They are called aromatic if some of the carbon atoms are doubly
bonded to other carbon atoms. In this paper we try to investigate the thermal properties of PAHs
using the concept of pebbling.
ICMMSND174
On Hub Domination in Zero-Divisor Graphs
T. Anitha Baby1
, B.L. Seethalakshmi 1
1
Department of Mathematics,
Women’s Christian College, Nagercoil
E-mail: anithasteve@gmail.com, seethalakshmibl9696@gmail.com
The first instances of associating graph with various algebraic structures is due to Beck
who introduced the idea of zero-divisor graph of a commutative ring with unity. Later on
Anderson continued the study of zero-divisor graph by considering only the non-zero zero-
divisors. The concept of domination in zero-divisor graphs was introduced by Nader Jafari
Rad, Sayyed Heidar Jafari and Doost Ali Mojdeh. Let 𝑅 be a commutative ring and Ζ(𝑅) be its
set of zero-divisors. The zero-divisor graph of a ring R is the graph (Simple) whose vertex set
is the set of non-zero zero-divisors and an edge is drawn between two distinct vertices if their
product is equal to zero and is denoted by Γ(𝑅). For a zero-divisor graph Γ(𝑅), a set 𝐷 ⊆
𝑉((Γ(𝑅))) is said to be a hub dominating set if it satisfies the following conditions, (i) every
vertices in 𝑉(Γ(𝑅)) − 𝐷 is adjacent to atleast one vertex in 𝐷 and (ii) every pair of vertices in
𝑉(Γ(𝑅)) − 𝐷 has a path in Γ(𝑅) such that all the internal vertices are in 𝐷. The hub domination
number is defined as the minimum cardinality taken over all hub dominating sets of Γ(𝑅) and
is denoted by 𝛾ℎ𝑑(Γ(𝑅)). In this paper we find the hub domination number of some zero-
divisor graphs Γ(ℤ𝑛) such as 𝛾ℎ𝑑 (Γ(ℤ𝑝𝑞)) where p and q are distinct prime numbers with 𝑝 <
𝑞, 𝛾ℎ𝑑 (Γ(ℤ8𝑝)), 𝛾ℎ𝑑(Γ(ℤ3 × ℤ𝑛)) where n is an odd prime and much more.

2024, Feb. 15th
& 16th
32
ICMMSND175
A Shock Filter on a Ct Scan for Brain Hemorrhage That Extracts and
Classifies Features
N. Bhuvaneswari1, R. Sathish Kumar1
, S. Sanjayprabu1
, R. Karthikamani2
1
Department of Mathematics, Sri Ramakrishna Mission Vidyalya College of Arts and
Science, Coimbatore-641 020, Tamilnadu, India.
2
Department of Electrical and Electronics Engineering, Sri Ramakrishna Engineering College
,Coimbatore - 641 022, Tamilnadu, India.
E-mail: bhuvaneswari@rmv.ac.in
The well-being field is one of the biggest industries in the economy that heavily depend
on images. The method described in the study's findings looks for any possibility
of hemorrhages. In our most recent research, we suggested a method for using computed
tomography (CT) scans to spot brain hemorrhage. Image first care, filtration, and feature
extraction are some of the processes that make up the suggested method. In this study, shock
filtering is used to pre-process brain hemorrhage scan images before categorising different
types of hemorrhage. The ACO and SURF feature extraction processes were used on the head
CT scan. A limited portion of images were fed into the KNN classifier after feature extraction,
and the results were often favourable.
ICMMSND176
On the Hub Domination Number Of Graphs
T. Anitha Baby1
, T. Abiah 1
1
Department of Mathematics,
Women’s Christian College, Nagercoil
E-mail: anithasteve@gmail.com, abiah1997@gmail.com
Around 1960, the formal investigation of the dominating set in Graph Theory started.
Hedetneimi and Laskar (1990) stated that, although research on domination started in the
1950s, it really picked up steam in the middle of the 1970s. In 1958, Berge introduced the
term "Coefficient of External Stability" to describe the notion of the graph domination
number. Dominating set and domination number were the terms used by Ore in 1962 to refer
the same idea. Walsh first proposed the idea of Hub in 2006. We use the idea of Hub and
domination number to develop the concept of hub domination number of graphs. Let G be a
simple graph of order n with no isolated vertices. A set D ≤ V is said to be a hub dominating
set if every vertex in 𝑉 − 𝐷 is adjacent to atleast one vertex in D and every pair of vertices in
𝑉 − 𝐷 has a path in G such that all the internal vertices of the path are in D. The hub
domination number of graph G is defined as the minimum cardinality taken over all hub
dominating sets D of vertices in G and is denoted by 𝛾ℎ𝑑 (G). In this paper we study the hub
domination number of some specific graphs such as Helm graph, Tadpole graph, Barbell
graph and much more.

2024, Feb. 15th
& 16th
33
ICMMSND178
Natural convective flow of nanoparticles in Water-Ethylene glycol (50:50)
mixture about a spinning down-pointing vertical cone
S.Yashodha1 , B.Ganga2
, A.K Abdul Hakeem1
1
Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and
Science, Coimbatore- 641020, India.
2
Department of Mathematics, Providence College for Women, Coonoor- 643 104, India.
E-mail :dryashodhamath@gmail.com, drabdulmaths@gmail.com
Examining the innovative attributes of nanofluids like 𝐴𝑙2𝑂3 and 𝐹𝑒3𝑂4 helps to
enhance heat transfer, since they possess more ability to conduct heat than the conventional
fluids. The originality of this research is to scrutinize the heat transfer rate of nanofluid (𝐴𝑙2𝑂3
and 𝐹𝑒3𝑂4) flow characteristics about a vertically placed spinning cone. The impact of 𝜖, 𝜙, γ1
and γ2 is analyzed through graphs and tables, which helps to analyse the fluid flow and their
behaviour at boundary layer. In case of tangential velocity, 𝐹𝑒3𝑂4 dominates 𝐴𝑙2𝑂3 for every
value of 𝜖 , 𝜙, γ1 and γ2, whereas opposite trend is observed in other cases. It is scrutinized
that the outcomes of this work are in good compatibility with the outcomes noted in previous
works.
ICMMSND182
Numerical Solution of System of Singular Integral Equations using
Taylor Wavelets
Lata Lamani1
, Geetanjali Rathod2
, Meenal Kaliwal3
1
Department of Mathematics, SVMVV Society’s SVM Arts, Science, and
Commerce College, Ilkal – 587 125, Karnataka, India.
2
Department of Mathematics, CSB Arts, SMRP Science, and GLR Commerce
College, Ramdurg – 591 123, Karnataka, India.
3
Department of Mathematics, KLS Vishwanath Rao Institute of Technology
(VDIT), Haliyal – 581 325, Karnataka, India.
E-mail: geetanjalirathod5@gmail.com
The objective of this paper is to obtain the approximate solution of system of singular
integral equations using Taylor wavelets. Taylor wavelets are used to obtain the approximate
solution of system of singular integral equations. These Taylor wavelets reduces the given
equations into a system of linear(or nonlinear) equations, which are solved by appropriate
methods. To illustrate our numerical findings a number of computational experiments are
carried out and are compared with that of the exact solutions.

2024, Feb. 15th
& 16th
34
ICMMSND183
Influence of elasticity on two-layered peristaltic flow of non -
Newtonian fluid in a channel
S. Vijaya Kumar1, S. Sreenadh2
, A. N.S. Srinivas3
1
Deparment of Mathematics, Narayana Engineering College, Gudur, 524101, A.P, India
2
Department of Mathematics, Sri Venkateswara University, Tirupati, 517 502, A.P., India
3
Department of Mathematics, SAS, Vellore Institute of Technology, Vellore, 632 014,.
E-mail: kumar.sankranthi@gmail.com
This paper investigates the influence of elasticity on two-layered peristaltic flow in a
channel. The two dimensional channel flow is considered with two regions as peripheral and
core. The proposed two-layered model assumes that the core region is governed by the Jeffrey
model, while the peripheral region is described by the Newtonian model. The channel walls
are flexible and the problem is formulated under the assumptions of long wave length and low
Reynolds number approximations. The problem is solved analytically. The expressions for
axial velocity and flux are obtained. The expressions for stream function in both peripheral
and core regions are derived and presented. Interface is the interesting phenomenon in multi-
phase flows. The equation for interface is obtained and explained through graphs.It is observed
that the flux increases as the elastic parameters increase. The flux as a function of inlet pressure
decreases as outlet pressure decreases, but the opposite behavior is observed for increasing inlet
pressure values. The results noticed in present flow characteristics shows many interesting
behaviors that guarantee the further study of physiological fluids in mufti phase channels in the
presence of elasticity.

2024, Feb. 15th
& 16th
35
ICMMSND185
Cost Optimization of Production Inventory System With Interactive
Screening And Demand Rates
Viswanath. J 1, Deepika Gopi1, Karthikeyan. T2
and Stanly Raj. A3
1 Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science
and Technology, Avadi, Chennai 600062, India
2 Department of Mathematics, Ramakrishna Mission Vivekananda College, Mylapore,
Chennai 600004, India
3 Department of Physics, Loyola College, Nungambakkam, Chennai, India
E-mail: deepikaasrini@gmail.com
This article exposes the effect of interaction between demand and screening rates on
optimizing total system replenishment cycle cost of a single product deterministic integrated
production inventory system. All produced items in the production units are screened and all
identified good and defective items are store separately in the inventory immediately after the
screening process. In any business environment, the demand rates are not always uniformly
proceeded for many of the products as their demand pattern influenced by many factors. After
screening process, all the screened defective items are sold as a single lot for less selling price.
Assumption of ‘production rate is higher than screening rate’ ensures avoiding idle time of the
screening process. Items in the production units are viewed with in three different slots. In the
first and third slots, it is assumed that the screening rate is greater than the demand rate, where
as in the second slot the screening rate is less than the demand rate. Such variation on demand
rate and its influence on selling processes of items in the inventory is exhibited to fill the gap
in the literature. As a result, the level of good items in the inventory is of wave form by
increasing and decreasing fashion. The total cost of an inventory cycle which includes
production unit for the developed EPQ model is further optimized. Numerical example is
provided to validate the model and sensitive analysis provides new insight of effects of
parameters in decision making of attaining optimized total cost.

2024, Feb. 15th
& 16th
36
ICMMSND186
Path Finding Challenges in a Supersingular Isogeny structure, Ramanujan
Graphs are Equivalent to the Endomorphism Ring Challenge with a
Supersingular Elliptic curve.
Ms Krishnaprabha R1
1
Assistant Professor Sree Narayana College, Alathur,Palakkad ,Kerala.
E-mail: krishnaprabha.kpr@gmail.com
Elliptic curves over finite fields play an important role in cryptography. The
security of most cryptographic systems relies either on the integer factorisation
problem or on discrete logarithm problem in certain abelian or cyclic groups. Isogeny
graphs of supersingular elliptic curves plays a major role in cryptography. Isogeny
based cryptography, studies cryptosystems whose security is based on the diffi-
culty of finding a path in isogeny graphs of supersingular elliptic curves. Endomorphism ring
of supersingular elliptic curve is an important algebraic structure in Isogeny based
cryptography. In this paper we are trying to explain how the path finding problem in the
supersingular isogeny graph related to supersingular endomorphism ring calculation problem,
which are fundamental building block of supersingular Isogeny based cryptography.
ICMMSND190
Cryptographic Undeniable Signature System Using DLCSFP Over
Semiring
Sethupathi S1, Manimaran A1
1
Vellore, India.
E-mail: sethupathi.s071998@gmail.com
D. Chaum and H. Van Antwerpen were the first to develop undeniable signature
methods, where the signer must cooperate to finish the verification process. The initial area of
attention for this research is the security of the factor problem (FP), conjugacy search
problem (CSP), and discrete logarithm problem (DLP) combined. We also go into the
security methods and complexity of an undeniable signature scheme that uses a non-
commutative group over semiring with FP, DLP, and CSP. The security and complexity of
the suggested scheme are carefully examined.

2024, Feb. 15th
& 16th
37
ICMMSND192
A comparative study of an eco-epidemic model with and without time delay
incorporated with disease in prey
Bipin Kumar1, Saddam Hussain1
, Rajesh Kumar Sinha1
1
National Institute of Technology Patna
E-mail: bipink.ph21.ma@nitp.ac.in
This article discusses the comparative study of an eco-epidemic model with and without
time delay. The article considered the prey-predator model, in which prey is divided into two
compartments: susceptible and infected. The time delay is incorporated into predator growth.
Analytical studies such as equilibrium, stability, and the bifurcation analysis of the model have
been studied. Our goal is to study the impact of time delay on the proposed model and compare
the dynamics with the non-delay model. The dynamics of both models have been investigated.
The article findings are that the time delay destabilised the model, and the time delay showed
switching behaviour, which means the model switched stability from unstable to stable as well
as stable to unstable. The numerical simulations for both the delay and non-delay models have
been discussed. Numerically, the article discussed bifurcation analysis, phase portraits, and
time series plots. The numerical studies have been done through MATLAB with the help of
DDE biftool package to study the bifurcation of the delay model and Matcont package for the
ODE model.
ICMMSND194
Insights into Reaction-Diffusion Dynamics in Electroactive Polymer Films
with Michaelis-Menten Kinetics using the Homotopy Perturbation Method
K. Saranya1
, Dr.R.Angel Joy1
,
1
Department of Mathematics, Sri GVG Visalakshi College for women (Autonomous),
Udumalpet.
E-mail: Saranyakumarasamy1@gmail.com, Angeljoyruban@gmail.com
The exploration involves the mathematical modeling of the reaction-diffusion process
with Michaelis-Menten kinetics in electroactive polymer films. The model's design was based
on a second-order non-linear differential equation and then adapted to use Fractional
Differential Equation (FDE) in a particularly sequential situation. The objective is to acquire
approximate analytical solutions for the FDE system by using the Homotopy Perturbation
method (HPM) and evaluating the effect of distinct parameters with varying orders of α. The
solution of sequential dynamic equation leads to the solution of the corresponding integer-order
differential equation.

2024, Feb. 15th
& 16th
38
ICMMSND195
Peristaltic propulsion of a Power Law Fluid in an Inclined Asymmetric
Channel with Slip Conditions
R. Saravana1
, R. Sivaiah2, R. Hemadri Reddy3
, P. Hariprabakaran4
1
Department of Mathematics, Madanapalle Institute of Technology & Science,
Madanapalle 517325, India
2
Department of Science & Humanities, NBKR Institute of Science and Technology,
Vidyanagar 524413, India
3
Department of Mathematics, School of Advanced Sciences, VIT University, Vellore 632014,
Tamil Nadu, India
4
Department of Mathematics, Thiruvalluvar University College of Arts and Science,
Gajalnaickanpatti, Tirupattur 635901, India
E-mail: sivaiah.ramisetty@gmail.com ,saravanasvu@gmail.com
The peristaltic pumping of a power law fluid in an inclined asymmetric channel with
Saffman slip conditions has been investigated under the consideration of long wavelength and
low Reynolds number. The analytical expressions for velocity, stream function, pressure rise
and frictional force are attained. The influence of different emerging parameters on the flow
field and trapping phenomenon are discussed graphically. We notice that the pumping rate rises
in peristaltic pumping region, and the pumping curves coincides in free pumping region with
the increase of power law index number and also we observe that the frictional force decreases
with the increase of power law index number for both upper and lower walls.
ICMMSND199
A qualitative study on a special type of fractional order non-linear Volterra
integro-differential equation on arbitrary time scale
Nimai Sarkar1, Mausumi Sen2
1
School of Advanced Sciences, VIT AP University, Andhra Pradesh, India
2
Department of Mathematics, NIT Silchar, Assam, India
E-mail: nimaisarkar298@gmail.com, mausumi@math.nits.ac.in
The current manuscript is entirely dedicated to the investigation of solvability and
stability of fractional order non-linear Volterra integro-differential equation on an arbitrary
time scale. Striking aspect of this article is focused on solvability criterion and Ulam-Hyers
(UH) stability. In the domain of time scale calculus, the derived results are qualitatively
appealing and completely new for the considered class of fractional order integro-differentials.
Basic functional analysis, time scale calculus, Banach contraction principle and Schauder fixed
point theory have been adopted to establish the main outcomes. Two suitable examples are also
studied to validate the theoretical findings.

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