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Prof. Sivalingam S M

Assistant Professor Gr-II

Department of Mathematics

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Room No: +91-870-246 sivalingamsm@nitw.ac.in https://sivalingamsm.github.io/ Bio Sketch

    Key Notes

    • Journal(s): 30

    30

    PUBLICATIONS

    Research Areas

    Dynamical system
    Mathematical Theory of Control
    Scientific Machine Learning
    Statistical Learning
    EDUCATION QUALIFICATION
    Degree Institute Year
    Post-Doctoral Fellow University of Paris Saclay 2026
    Doctor of Philosophy National Institute of Technology Puducherry 2025
    Master of Science Central University of Tamil Nadu 2022
    Bachelor of Science Sadakathullah Appa College 2020
    COURSES HANDLED
    Course L-T-P Credit Degree Level
    Computer Programming and Data Structures in Python(MA26003) 3-0-0 3 PG
    Dynamical Systems(MA17029) 3-0-0 3 UG, PG
    Linear Algebra, Calculus and Ordinary Differential Equations(MA1161) 3-0-0 3 UG
    Dynamical Systems(MAI516) 3-0-0 3 UG
    RESEARCH IDs
    ORCID
    ORC ID
    ISI Researcher ID
    ISI Researcher ID
    Scopus
    SCOPUS ID
    Google Scholar
    Google Scholar ID
    PUBLICATIONS
    Journal(s)
    Controllability of time-varying stochastic fractional dynamical systems with distributed delays in controls, By Twinkle Sanjay Desai, Sivalingam S M, & Govindaraj V, Springer, Communications on Applied Mathematics and Computation, vol., pp., 2026
    Controllability Analysis of Fractional Nonlinear Dynamical Systems Using $\Psi$-Caputo Derivatives and Prescribed Controls, By Karthiga, Sivalingam S M, and Govindaraj V, Taylor and Francis, Journal of Taibah University for Science, vol., pp., 2026
    Solution representation and a generalized physics-informed neural network for Ψ-Caputo-type fractional time-varying system, By Sivalingam S M, and Govindaraj V , Springer, Nonlinear Dynamics, vol., pp., 2025
    Constrained physics informed deep implicit neural network for ordinary and partial differential equations, By Sivalingam S M, Govindaraj V, and Shruti Dubey , Elsevier, Mathematics and Computers in Simulation, vol., pp., 2025
    Trajectory controllability of time-varying fractional dynamical systems, By Karthiga, Sivalingam S M, and Govindaraj V , Springer, Lobachevskii Journal of Mathematics, vol., pp., 2025
    An improved physics-informed neural network with theory of functional connections for fractional differential equations, By Sivalingam S M, Govindaraj V, and Shruti Dubey , Elsevier, Engineering Analysis with Boundary Elements, vol., pp., 2025
    Controllability of time-varying fractional dynamical systems with distributed delays in control, By Vishnukumar K S, Sivalingam S M and Govindaraj V , IOP, Physica Scripta, vol., pp., 2024
    A Chebyshev neural network-based numerical scheme to solve distributed-order fractional differential equations, By Sivalingam S M, P. Kumar and V. Govindaraj , Elsevier, Computers and Mathematics with Applications, vol., pp., 2024
    Physics-informed neural network-based scheme and its error analysis for $\psi$-Caputo type fractional differential equations, By Sivalingam S M and Govindaraj V , IOP, Physica Scripta, vol., pp., 2024
    Controllability of time-varying fractional dynamical system, By S. M. Sivalingam, M. Vellappandi, V. Govindaraj, Ibrahim Alraddadi, Faisal Alsharif & Hijaz Ahmad, Taylor and Francis, Journal of Taibah University for Science, vol., pp., 2024
    Controllability of time-varying fractional dynamical systems with prescribed control, By Karthiga, Sivalingam S M, and Govindaraj V , Wiley, Mathematical Methods in the Applied Sciences, vol., pp., 2024
    Neural fractional order differential equations, By Sivalingam S M, and Govindaraj V , Elsevier, Expert Systems with Applications, vol., pp., 2024
    Reachability of time-varying fractional dynamical systems with prescribed control, By Karthiga, Sivalingam S M, and Govindaraj V , Wiley, Asian Journal of Control, vol., pp., 2024
    New results about controllability and stability of Ψ-Caputo-type stochastic fractional integro-differential systems with control delay, By Panneer Selvam, Sivalingam S M, and Govindaraj V , IOP, Physica Scripta, vol., pp., 2024
    Controllability of the time-varying fractional dynamical systems having multiple delays in control with Caputo fractional derivative, By Vishnukumar K S, Sivalingam S M, Govindaraj V, Berna Uzun, Ilker Ozsahin, Hijaz Ahamad and Taha Radwan , World Scientific, Fractals, vol., pp., 2024
    L1-Predictor-Corrector method for Ψ-Caputo type fractional differential equations, By Sivalingam S M, Govindaraj V, J Vanterler, and Ahmed Hendy , Springer, Computational and Applied Mathematics, vol., pp., 2024
    A novel numerical approach for time-varying impulsive fractional differential equations using theory of functional connections and neural network , By Sivalingam S M and V. Govindaraj , Elsevier, Expert systems with applications, vol., pp., 2024
    Controllability of the time-varying fractional dynamical systems with a single delay in control , By Vishnukumar K S, Sivalingam S M, V. Govindaraj and Hijaz Ahmad , Springer, Nonlinear dynamics, vol., pp., 2024
    A novel L1-Predictor-Corrector method for the numerical solution of the generalized-Caputo type fractional differential equations. , By Sivalingam S M, Kumar, P., Trinh, H., and Govindaraj, V. , Elsevier, Mathematics and Computers in Simulation, vol., pp., 2024
    An operational matrix approach with Vieta-Fibonacci polynomial for solving generalized Caputo fractal-fractional differential equations. , By Sivalingam S M, Kumar, P., Govindaraj, V., Qahiti, R. A., Hamali, W., & Mutum, Z. M. , Elsevier, Ain Shams Engineering Journal, vol., pp., 2024
    Observability of time-varying fractional dynamical systems with Caputo fractional derivative, By Sivalingam S M and Govindaraj. V. , Springer, Mediterranean Journal of Mathematics, vol., pp., 2024
    Some novel analyzes of the Caputo-type singular three-point second-order boundary value problems , By Poovarasan R, P. Kumar, Sivalingam S M and V. Govindaraj , Springer, The Journal of Analysis, vol., pp., 2023
    A novel numerical scheme for fractional differential equations using an extreme learning machine , By Sivalingam S M, P. Kumar and V. Govindaraj , Elsevier, Physica A: Statistical Mechanics and its Applications, vol.622 , pp.128887, 2023
    Forecasting of HIV/AIDS in South Africa using 1990 to 2021 data: Novel integer and fractional-order fittings , By P. Kumar, Sivalingam S M and V. Govindaraj , Springer, International Journal of Dynamics and Control, vol., pp.1-17, 2023
    A novel optimization-based physics-informed neural network scheme for solving fractional differential equations , By Sivalingam S M, P. Kumar and V. Govindaraj , Elsevier, Engineering with Computers, vol., pp.1-11, 2023
    Implementation of statistical techniques to analyze agriculture data , By Sivalingam S M, Vijayan V, Nair G, Athira A, Puthanpurayil S K, Adapa S, Pesala S and Chellappa V , AIP, AIP Conference Proceedings, vol.1, pp., 2023
    A novel method to approximate fractional differential equations based on the theory of functional connections , By Sivalingam S M, P. Kumar and V. Govindaraj , Springer, Numerical Algorithms, vol., pp.1-23, 2023
    A case study of monkeypox disease in the United States using mathematical modeling with real data, By P. Kumar, M. Vellappandi, Z. A. Khan, Sivalingam S M, A. Kaziboni and V. Govindaraj , Elsevier, Mathematics and Computers in Simulation, vol., pp.1-18, 2023
    A neural networks-based numerical method for the generalized Caputo-type fractional differential equations , By Sivalingam S M, P. Kumar and V. Govindaraj , Elsevier, Mathematics and Computers in Simulation, vol.213, pp.302-323, 2023
    The hybrid average subtraction and standard deviation-based optimizer, By Sivalingam S M, P. Kumar and V. Govindaraj, Elsevier, Advances in Engineering Software, vol.176, pp.103387, 2023
    PROJECT / CONSULTANCY
    RESEARCH FELLOWS / PhD STUDENTS
    CONFERENCE / WORKSHOP / SYMPOSIUM / SHORT TERM COURSE / FACULTY DEVELOPMENT PROGRAMME / GIAN
    AWARDS AND ACCOLADES
    2025
    TWAS UNESCO Research and Training Fellowship
    ADDITIONAL RESPONSIBILITIES
     Last updated on July 12, 2026