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SUPERVISOR

S.NoName of the Supervisor, DesignationArea of ResearchNo. of Scholars ApprovedFull-time Scholars registeredPart time Scholars registered
1Dr.R.Srinivasan
Professor & Head
Differential Equations813
2Dr. N. Sujatha
Associate Professor
Fuzzy Graph613
3Dr. S. Parthasarathy Associate ProfessorReliability Engineering622
4Dr. S. Dhanalakshmi Associate ProfessorGraph Theory613
5Dr. R. Vijayalakshmi Assistant Professor (Sr.G)Computational Fluid Dynamics421
6Dr. T. Yogashanthi Assistant ProfessorIntuitionistic Fuzzy Set412
7Dr. S. Sangeetha Assistant ProfessorFluid Dynamics401
8Dr. Pragya Pandey
Assistant Professor
Fluid Dynamics401
9Dr. S. Prema Assistant ProfessorComplex Analysis410
10Dr. R. Surendar
Assistant Professor
Fluid Dynamics400
11Dr. R. Binthiya
Assistant Professor
Graph Theory400
12Dr. K. Janaki
Assistant Professor
Formal language and Automata theory400
13Dr. J. Balasamuvel
Assistant Professor
Graph Theory400
14Dr. M. Saraswathy
Assistant Professor
Fluid Dynamics400
15Dr. B. Roopa
Assistant Professor
Graph Theory400

PUBLICATIONS 2026

Title of PaperName of the Author(s)Name of the JournalMonth & Year of Publication
Physics-informed computational modelling for thermal analysis of Casson nanofluid flow over linear and nonlinear stretching surfacesR. SurendarInternational Journal of Ambient EnergyJuly 2026
Fractional-Order Adaptive and Robust Sliding Mode Control for Predefined-Time Synchronization of Hyper-Chaotic Convection SystemsR. SurendarJournal of Computational and Applied MathematicsJuly 2026
Automata-Theoretic Framework for Modeling and Optimizing Library Resource AllocationK. JanakiInternational Journal of Modern Education and Computer ScienceJuly 2026
A cubical fuzzy Dubois–Prade aggregation framework for renewable and sustainable green energy decision-makingS. SangeethaScientific ReportsJuly 2026
Incorporation of αM closed sets of neutrosophic over soft modal topological structures for revolutionizing hospital ranking with numerical insightsYamini PTWMS Journal of Applied and Engineering MathematicsJuly 2026
Exploring Types of Open Sets in Neutrosophic Over Soft Topological Spaces with an Application to Organic Catalyst SelectionYamini POriental Journal of ChemistryJune 2026
Application of Fractional Integro-Differential Equations in Paracetamol Drug Release ModelingYamini POriental Journal of ChemistryJune 2026
Controllability of Gerasimov–Caputo fractional integro-differential equations: a theoretical and data-driven approachYamini PInternational Journal of Dynamics and ControlJune 2026
Application of neutrosophic over soft orbit topological spaces in basketball team player selectionYamini PJournal of Interdisciplinary MathematicsJune 2026
A Hybrid Neural Network Approach to Controllability in Caputo Fractional Neutral Integro-Differential Systems for Cryptocurrency ForecastingYamini PFractal and FractionalJune 2026
Mathematical Analysis and Neural Learning-Based Prediction of Cryptocurrency Using Fractional Impulsive ModelsYamini PMathematics and StatisticsJune 2026
A hybrid neutrosophic over soft plithogenic topological approach with artificial neural networks for multi-criteria decision makingYamini PMathematics In Engineering Science And AerospaceJune 2026
Application of Machine Learning Frameworks in the Controllability Study of Infinite-Delay Neutral Integro-Differential EquationsS. MadhumithaInternational Journal of Mathematics and Computer in EngineeringJune 2026
The Oretical Exploration of Dual Value Correlation Functions in Benchmarking Rural Health Resources and Epistemic Uncertainty in Clinical Information BehaviorB. RoopaIndian Journal of Information Sources and ServicesJune 2026
Hybrid Neural-Numerical Modeling of Bio-convective Casson MHD Nanofluid Flow with Thermophoresis and Activation EnergyR. SurendarFractal and FractionalJune 2026
Neural network analysis of Soret effect on rotating fluid between parallel plates with magnetohydrodynamic over porous mediaPragya PandeyHeat TransferMay 2026
Oscillation criteria for advanced fourth-order differential equations with mixed nonlinearities of Swift–Hohenberg typeR. SrinivasanMathematica SlovacaMay 2026
Hybrid nanofluid-assisted enhanced oil recovery: a combined numerical and artificial neural network approach for prediction and optimizationPragya PandeyJournal of Thermal Analysis and CalorimetryMay 2026
Robust Boundary Intermittent Stabilization of Fractional-order Memrisitive Cohen-Grossberg Neural NetworksR. SrinivasanMDPI- Fractal and FractionalMay 2026
New results on finite-time synchronisation of fractional-order fuzzy reaction-diffusion gene regulatory networks with time-varying delays: an adaptive boundary control approachR. SrinivasanInternational Journal of Systems ScienceMay 2026
Fixed-point topology meets fractal memory: a Kutumba-stabilized framework for nonlocal fractal-fractional dynamicsR. Aruna Devi, R. SurendarScientific ReportsApril 2026
Development of rough set-based machine learning approach to screen breast cancerS. SangeethaIAES International Journal of Artificial IntelligenceApril 2026
On power dominator chromatic number of certain chemical graph structuresJ. Bala SamuvelJ. Appl. Math. & InformaticsApril 2026
Artificial Intelligence-Enhanced Thermal and Mass Transport Analysis of Rotating Hybrid Nanofluid induced by autocatalytic reaction via MHD EffectsR. Surendar, Pragya Pandey, R. RameshInternational Journal of Modelling, Simulation, and Scientific ComputingMarch 2026
Robust Weather Forecasting Using Island Parallel Harris Hawks Optimizer with Convolutional Long Short Term MemoryLinda Joel, S. ParthasarathyJ. Appl. Math. & InformaticsMarch 2026
Impact of chemical interactions and thermal emission on fractional MHD Casson flow through fractional derivativesR. SurendarZAMM – Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und MechanikFebruary 2026
Predefined-time adaptive robust sliding mode control for hyper-chaos synchronization in fractional-order hybrid systemR. SurendarInternational Journal of Dynamics and ControlJanuary 2026
Antimagic Labeling of Bi-Star Graphs for Secure and Efficient Cryptographic Data TransformationB. Roopa, J. Saral, R. Senthamizh Selvi, R. BinthiyaInternational Journal For Global Academic & Scientific ResearchJanuary 2026

PUBLICATIONS 2025

Title of PaperName of the Author/sName of JournalYear of Publication
Exploring iterated morphisms on words: Analysis using subwords and Parikh matricesK. JanakiMathematics in Engineering, Science and AerospaceDecember 2025
Neural Network Analysis of Soret Effect on Rotating Fluid Between Parallel Plates With Magnetohydrodynamic Over Porous MediaR. Surendar, Pragya PandeyHeat TransferDecember 2025
Exploration of Decagonal Graceful Labeling in Path Graphs with Musical ApplicationsR. Senthamizh Selvi, N. Sujatha, J. SaralInternational Journal of Applied MathematicsDecember 2025
Image Edge Detection Enhancement Using Coefficient Estimates for Classes of Quasi-Subordination: Fekete-Szego ProblemsR. Kamali, S. PremaEuropean Journal of Pure and Applied MathematicsDecember 2025
Network Modeling Analysis in Health Informatics and BioinformaticsS. ParthasarathyNetwork Modeling Analysis in Health Informatics and Bioinformatics
November 2025
Memory-Efficient Probabilistic Graph Attention Networks For Large-Scale Node ClassificationSujatha NInternational Journal of Applied MathematicsNovember 2025
Numerical Descriptor Computation of Alopecia Drugs Using ComS. DhanalakshmiInternational Journal of Applied Mathematics
November 2025
Investigating Topological Descriptors of α-Graphdiyne by Employing Revan Indices and Entropy Analysis Through Linear Regression
S. Vani Shree,
S. Dhanalakshmi
S. Perumal
R.Aruna Devi
M. Prasanna Jeyanthi
International Journal of Applied Mathematics
November 2025
A New Constrain Group Operating on Neutrosophic Fuzzy Subgroup and Normal Subgroup
Saral J
Neutrosophic Sets and Systems
November 2025
Optimizing Graph-Based Computation Through Permutation Labeling in Strong Face Plane Graphs
Sujatha N
International Journal of Applied Mathematics
November 2025
Impact of Vertex Duplication on Total Power Dominator Chromatic number of Graphs
Bala Samuvel J.
IAENG journal of Computer Science
October 2025
Quantitative Structure–Property Relationship-Based Analysis of Topological Indices for Antihypertensive Drugs
S.Dhanalakshmi
Mathematical Modelling of Engineering Problems
October 2025
Dynaflow: Neural Ordinary Differential Equations for Irregularly Sampled Time Series
E.Muralikrishnan
Utilitas Mathematica
October 2025
Analysis of operation on spherical fuzzy soft topology and its application
J J Mershia Rabuni
Journal of Interdisciplinary Mathematics
October 2025
Some New Topological Indices on Unitary Cayley Quotient Graphs
R. BinthiyaInternational Journal of Applied Mathematics
October 2025
Some New Topological Indices for the Divisor GraphsR. BinthiyaInternational Journal of Applied Mathematics
October 2025
A New Approach towards Rough Lattice Using Rough Relation with a Condition
B. Srirekha
B. Muthu Deepika
S. Sangeetha
Mathematics and Statistics
October 2025
Rough Injective G Modules
S. Sangeetha B. Muthu Deepika B. SrirekhaMathematics and Statistics
October 2025
Dynamics of a COVID-19 model with comorbidity:
Fractional order approaches
A.Saranya DeviInternational Journal of Biomathematics
September 2025
Viscosity variation with velocity slip effect using couple stress fluid between rough conical bearings
S.SangeethaBoletim da Sociedade Paranaense de Matemática
September 2025
Gamma neutosophic set
KanimozhiramanNeutrosophic sets and system
September 2025
A computational analysis of the double-diffusive effect on heat absorbing and radiative MHD flow of nanofluid across a mobile vertical porous membrane
K. VaratharajJournal Porous Media
September 2025
Darcy Forchheimer model of auto-catalytic involving rotating
micropolar fuid with hall current efect: Backpropagation of
Taguchi methodology approach
M Saraswathy,
R Surendar,
R. Vijayalakshmi
Modern Physics Letters B
September 2025
Exploring integral solutions for ternary Diophantine equations: A multi-technique approach
C. RajapandiyanJournal of Discrete Mathematical Sciences & Cryptography
September 2025
Understanding the Transmission Mechanism of HIV/TB Co‐Infection Using
Fractional Framework with Optimal Control
A.Saranya DeviInternational Journal of Numerical Modelling Electronic Networks Devices and Fields
August 2025
Investigating the Use of M-Polynomial for Calculating Topological Indices in Carbazole Dendrimers
A. Jeslet Kani Bala,
R. Binthiya, B. Roopa
Mathematics and Statistics
August 2025
Modelling the heat transfer of nanofluid towards a radiating stretching sheet of varying thickness using thermal flux
Pragya PandeyArchives of thermodynamics
August 2025
Ternary hybrid nanofluid flow and heat transfer at a permeable stretching sheet with slip boundary conditions
Varatharaj K
The European Physical Journal Special Topics
August 2025
Asymptotic stability and sampled data control of hybrid nanofluid
in a time-delay nonlinear Brinkman system
R SurendarPramana – J. Phys.
August 2025
Hyper-chaotic convection in a two-phase Cattaneo LTNE porous medium with helical magnetic field and quasi-periodic sinusoidal modulation
Surendar R ,
Varatharaj K

Chaos, Solitons and Fractals
August 2025
Supervised machine learning analysis of Hall current and radiative effects in Cassonnanofluid flow over a stretching surface with activation energy
Varatharaj K
International Journal of Ambient Energy
August 2025
Modeling the co-dynamics of HIV, TB and COVID-19
using fractional order: Impact of control strategies
A.Saranya DeviInternational journal of biomathematics
July 2025
Coefficient Bounds of Sakaguchi Type Functions Associated with Gegenbauer Polynomials
S.Prema
IAENG International Journal of Applied Mathematics
July 2025
Non-linear thermal radiation and heat transfer effect on MHD flow of a micropolar fluid through a porous medium
Varatharaj KThe Journal of Analysis
July 2025
Power Dominated Coloring of the GraphsDr. J. BalasamuvelPalestine Journal of MathematicsJune 2025
Biomedical uses of Casson blood nanofluid with gold nanotubes: Mathematical modeling of blood flow in porous arteriesDr. Pragya, S. SangeethaInternational Journal of Modern Physics BMay 2025
New results on finite-time synchronisation of fractional-order fuzzy reaction-diffusion gene regulatory networks with time-varying delays: an adaptive boundary control approachR. SrinivasanInternational Journal of Systems ScienceMay 2025
Single server Markovian queueing system with working vacation, impatient customers and disastersYohapriyadharsini R SMathematics in Applied Sciences and EngineeringMay 2025
A queueing system with heterogeneous arrivals, two kinds of vacations and impatient customersYohapriyadharsini R SInternational Journal of Mathematics in Operational ResearchMay 2025
Performance of Copper
Nanofluid on Changing
Width of Stretching
Sheet Using Thermal
Radiation and Heat Flux
Dr. PragyaTHERMAL
SCIENCE
April 2025
Numerical Role of BloodBased
Hybrid Nanofluid
over Artery with Stenosis Condition
Dr. PragyaBrazilian
Journal
of Physics
April 2025
Optimal Control Strategies
for COVID-19 Epidemic Management
: A Mathematical Modeling Approach
Using the SEIQR Framework
R.RameshRIMINIApril 2025
A mathematical analysis of cerebrospinal fluid pressure in subarachnoid space with poro-elasticityR. VijayalakshmiRadiation Effects and Defects in SolidsApril 2025
Asymptotic Stabilization for Discrete Type Stochastic Dynamic System Incorporating DelayS. Nirmal Veena, Srinivasan RUtilitas Mathematica JournalApril 2025
Encryption and Decryption of Data Using Edge Bimagic Mean Labeliing and Hill Cipher TechniqueS. Vani ShreeAdvances in Nonlinear Variational inequalitiesMarch 2025
Stability and control analysis of COVID-19 spread in India using SEIR modelR.RameshScientific ReportMarch 2025
Some Indices on Divisor Graph
of First N Natural Numbers
R. BinthiyaPanamerican Mathematical JournalMarch 2025
Some Indices on Unitary
Cayley Quotient Graph
R. BinthiyaPanamerican Mathematical JournalMarch 2025
Units of the semisimple group
algebras of groups of order 162
N. AbhilashMatematicki VesnikMarch 2025
Structure of the unit group of the
group algebras of non-metabelian
groups of order 128
N. AbhilashMathematica BohemicaMarch 2025
A Smart Technique Approach in
Picture Fuzzy Schweizer-Sklar
Power Geometric Aggregation
Operators for Enhancing Road
Construction Companies through
Group Decision-Making
T.YogashanthiCommunications on Applied Nonlinear AnalysisMarch 2025
Finite-time stabilisation of stochastic impulsive delayed systems with reaction-diffusion and boundary controlDr. R. SrinivasanInternational Journal of Systems ScienceFeb 2025
Isotropy Group and Normalizer of S-Topological Transformation GroupC. RajapandiyanPalestine Journal of MathematicsJan 2025
Electrothermal effect on MHD Jeffrey fluid flow in a porous channel with variable fluid propertiesR. Vijayalakshmi, R. Surendar,Thermal Science and Engineering ProgressJan 2025
Novel adaptive boundary control for synchronization of fractional fuzzy CohenR.SrinivasanInternational Journal
of Modelling
and Simulation
Jan 2025
Grossberg BAM neural networks with reaction- diffusion and time-varying delay AircraftS.SangeethaCommunications on Applied Nonlinear AnalysisJan 2025
Chemical reaction and heat source effects on oscillatory suction in MHD flow through permeable media with Soret effectS.SangeethaAircraft Engineering and Aerospace TechnologyJan 2025

Patents 2026

S.NoTitle of the PatentName of the facultyYear of collaboration
1A Real-Time Oscillation Detection and Suppression System for Autonomous Vehicle Steering and Motion Control Using Canonical Transformation of Non-Canonical Third-Order Delay Differential EquationsRamya B
R. Srinivasan
Kanimozhiraman
April 2026
2Innovative Bipolar q-Rung Fuzzy Decision System for Tuberculosis Co-Risk AnalysisSP. Jaya
T. Yogashanthi
April 2026
3Intelligent Ultrasonic Crack Detection, Segmentation, And Classification System with Physics-Informed Neural Networks and Multi-Modal Fusion for Predictive Structural Health MonitoringM. Lakshmi
Vanishree S
Aruna Devi R
April 2026
4Privacy-Preserving Federated Learning System for Medical Diagnosis with Heterogeneous Data SourcesParthasarathy SundararajanApril 2026
5A Graph-Theoretic Musical Pen System for Interactive LearningN. Sujatha
J. Saral
R. Senthamizh Selvi
April 2026
6Holistic Therapeutic Yoga Platform for Stress Reduction and Mental Wellness and Lifestyle ManagementPerumal S
Dhanalakshmi S
S Vanishree
March 2026
7Rough Set based Method for Identifying Coffee – Derived Protective Factors Against Liver Cancer and Related CompositionsR. Aruna Devi
S. Vanishree
M. Lakshmi
March 2026
8A Graph-Theoretic System and Method for Automatic Timetable Conflict Detection and ResolutionR. Senthamizh Selvi . J. Saral
N. Sujatha
March 2026
9A Graph-Theoretic System and Method for Analyzing Chemical Bond Stability Using Structural IndexingJ. Saral
N. Sujatha
R. Senthamizh Selvi
March 2026
10A System for Graph-Theoretic Entropy Analysis of Carbon NanostructuresVanishree S
Dhanalakshmi S
Perumal S
Lakshmi M
Aruna Devi R
March 2026
11Ornamental Facade Panel DesignR. VijayalakshmiFebruary 2026
12Ornamental Smart Dress DesignR. VijayalakshmiFebruary 2026
13A Spectralanalysis of Graph Properties For Measuring Regional Controllability Inelementary Cellular AutomataMythili V
Dhanalakshmi S
February 2026
14Image Encryption Using Chaos-Based Permutation and Non-Uniform Second-Order Cellular AutomataDhanalakshmi SFebruary 2026
15Petri net-based image encryption using pixel permutation and keystream maskingDhanalakshmi SFebruary 2026
16A System and Method for Image Edge Detection and Enhancement Using Quasi-Subordination Coefficient Estimates and Fekete–Szegö Functional ConstraintsKamali, S. PremaJanuary 2026
17Algorithm and Construction of Quasi-Magic Rectangles of order (4m+3) × 2nM. Prasanna JeyanthiJanuary 2026

Patents 2025

S.No.Title of the PatentName of the facultyYear of collaboration
1Dual Key Reminder System for Two-Wheeler VehiclesM.Prasanna Jeyanthi, S.Prema
P.Tharini, J.J.Mershia Rabuni
M.Nithya, R.Kamali
September 2025
2Smartwatch-based Elderly Health Monitoring and Emergency Alert System Using Rough Set TheoryB. Srirekha, S. Sangeetha, B. Muthu Deepika, N. Sangeetha, Pragya Pandey
August 2025
3Digital Image Compression and Decompression via Fixed Point Theorem in Complete G-Metric Spaces Using Asymptotically Regular MappingsR. Anna Thirumalai, Rajapandiyan C, Sivaranjani N , Ramya B, Nirmal Veena S
Lavanya S
August 2025
4Optimizing Supply Chain Management with Type-2 Fuzzy Sets and Machine LearningJ. Jansi Rani, Kanimozhiraman
T. Yogashanthi, Tharini.P
August 2025
5Digital Image Compression via Fixed Point Theory in Complete G-Metric Spaces Using Comparison FunctionsMr. R. Anna Thirumalai, Dr. Srinivasan R
Rajapandiyan C, Yohapriyadharsini R S
Ugasini Preetha P
July 2025
6Machine Learning-Driven Forecasting for Enhanced Solar Energy Management and Smart Grid OptimizationAshish Nagila, Dr. K. Varatharaj, Vinothkumar B, Dr. A. Agathiyan, BuditiNagaratnam, Dr. P. Arulkumar, Dr. P. S. Suvetha, Dr. T. Hussain, Dr. Srijan Paul, Pushpendra Kumar Sharma, Vanisri S, Dr. Saurabh Sanjay JoshiApril 2025
7A Hybrid Machine Learning Framework for Industrial Failure Prediction Using Random Forest and Graph Neural NetworksDr. S. Parthasarathy, Dr. Shakeela SathishFeb 2025
8Meromorphic Mesh Filtration Technique (MMFT)Dr. S. Prema, Mrs. S. Padmapriya, Dr. R. Binthiya, Dr. A. Jeslet Kani Bala, Mrs. B. Ramya, Mrs. M. Shanthi
Feb 2025
9SmartCare Bed: AI-Powered Safety, Comfort and Smart Medication ManagementDr. R. Vijayalakshmi, Dr. N. Sujatha, Dr. S. Dhanalakshmi, Dr. S. Prema, Mrs. D. L. Yamini LathaFeb 2025
10Machine Learning-Assisted Control Strategy for Stabilization and Synchronization of Robotic Manipulator SystemsDr. R. Surendar, Dr. M. Kannan, Mr. R. Ramesh, Mr. E. Muralikrishnan, Dr. M. SaraswathyFeb 2025
11Graph LabelingIn Data ProtectionDr. S. Dhanalakshmi, Dr. S. Vani Shree, Mr. S. Perumal, Mrs. S. Padmapriya, Dr. S. Sindu Devi
Feb 2025
12Enhanced Chest X-ray Image Classification with a Novel Deep CNN ModelDr. M. Lakshmi, Dr. S. Vani Shree, Dr. R. S. Yohapriyadharsini, Mrs. S. Nirmal VeenaFeb 2025
13Graph-Based Drug Discovery: AI-Driven Molecular Interaction Analysis Using Graph TheoryDr. J. Saral, Dr. N. Sujatha, Mrs. R. Senthamizh Selvi, Dr. J. Bala Samuvel
Feb 2025
14Graph-Based Multi-Robot Coordination: A Decentralized Approach Using Dynamic GraphsDr. N. Sujatha, Dr. J. Saral, Mrs. R. Senthamizh Selvi, Dr. J. Bala Samuvel
Feb 2025
15Enhanced Peristaltic Transport System for Non-Newtonian Fluids in Biomedical and Industrial ApplicationsDr. K. Varatharaj, Dr. R. Surendar, Mr. C. RajapandiyanFeb 2025
16Nanoparticle coated CatheterDr. Pragya Pandey, Dr. B. Srirekha, Mrs. S. Sangeetha, Dr. B. Muthu Deepika, Mrs. N. SangeethaFeb 2025
17Hardware – Integrated Physics – Informed Neural Network SystemsDr. A. Gurusamy, Dr. Shakeela Sathish, Dr. R. T. PavendanFeb 2025
18Development Of Smart Helmets with Advanced Sensor Technology, Active Noise Cancellation And
Lorawan For Enhanced Mining Safety
Dr. A. Mohanbabu, Mr. Shree Shankar, Mr. M. Avinash Kumar, Mr. J. Raghul, Mr. ST Ezhil Maaran, Dr. R. Srinivasan, Dr. K. Kavitha DeviJan 2025

Consultancy 2026

S.NoName of the FacultyTitle of the ProjectFunding Agency NameAmount SanctionedDuration of Project
1Dr. S. Parthasarathy
Dr. R. Srinivasan
Enterprise Data Engineering and Statistical Governance FrameworkAPOGEE International Services CorpRs. 500002 months
2Dr. S. Parthasarathy
Dr. R. Srinivasan
Enterprise AI Strategy and Intelligent Automation FrameworkPilvi SystemsRs. 500002 months

Consultancy 2025

S.NoName of the FacultyTitle of the ProjectFunding Agency NameAmount SanctionedDuration of Project
1Dr. Pragya Pandey
Dr. R. Surendar
CFD-Based Optimization of oxidation and Reduction Reactors for Yield improvement in DNSDA & DASDA Manufacturing ProcessDeepak NitriteRs. 750008 months
2Dr. S DhanalakshmiTASE Factory Expansion ProjectSri Hari Electrics India Private LimitedRs.1,00,0003 Months