31
Publications
0
Citations
4
Publication Years

2026

31
Controllability of Time-Varying Stochastic Fractional Dynamical Systems with Distributed Delays in Control
Twinkle Sanjay Desai, S M Sivalingam, and V Govindaraj
Communications on Applied Mathematics and Computation (2026)
DOI Cited by 0
30
CONTROLLABILITY OF THE TIME-VARYING FRACTIONAL DYNAMICAL SYSTEMS HAVING MULTIPLE DELYAS IN CONTROL WITH CAPUTO FRACTIONAL DERIVATIVE
K. S. VISHNUKUMAR, S. M. SIVALINGAM, V. GOVINDARAJ, BERNA UZUN, ILKER OZSAHIN, HIJAZ AHMAD, and TAHA RADWAN
Fractals, 34(08) (2026)
DOI Cited by 0
29
Constrained physics informed deep implicit neural network for ordinary and partial differential equations
S M Sivalingam, V. Govindaraj, and Shruti Dubey
Mathematics and Computers in Simulation, 241, 104-133 (2026)
DOI Cited by 0

2025

28
Spectral coefficient learning physics informed neural network for time-dependent fractional parametric differential problems
Sivalingam S M
Arxiv (2025)
DOI Cited by 0
27
Solution representation and a generalised physics-informed neural network for $$\psi $$-Caputo-type fractional time-varying systems
S M Sivalingam and V. Govindaraj
Nonlinear Dynamics, 113(15), 19125-19157 (2025)
DOI Cited by 0
26
Reachability of time‐varying fractional dynamical systems with prescribed control
P. Karthiga, S. M. Sivalingam, and V. Govindaraj
Asian Journal of Control, 27(5), 2436-2447 (2025)
DOI Cited by 0
25
New results about controllability and stability of ψ-Caputo-type stochastic fractional integro-differential systems with control delay
A Panneer Selvam, S M Sivalingam, and V Govindaraj
Physica Scripta, 100(2), 025233 (2025)
DOI Cited by 0
24
Neural fractional order differential equations
S M Sivalingam and V. Govindaraj
Expert Systems with Applications, 267, 126041 (2025)
DOI Cited by 0
23
L1-predictor–corrector method for $$\psi $$-Caputo type fractional differential equations
S. M. Sivalingam, V. Govindaraj, J. Vanterler da C. Sousa, and A. S. Hendy
Computational and Applied Mathematics, 44(5) (2025)
DOI Cited by 0
22
Controllability of time‐varying fractional dynamical systems with prescribed control
P. Karthiga, S. M. Sivalingam, and V. Govindaraj
Mathematical Methods in the Applied Sciences, 48(4), 4365-4384 (2025)
DOI Cited by 0
21
An improved physics informed neural network with theory of functional connections for fractional differential equations
SM Sivalingam, V. Govindaraj, and Shruti Dubey
Engineering Analysis with Boundary Elements, 178, 106281 (2025)
DOI Cited by 0

2024

20
Some novel analyses of the Caputo-type singular three-point fractional boundary value problems
R. Poovarasan, Pushpendra Kumar, S. M. Sivalingam, and V. Govindaraj
The Journal of Analysis, 32(2), 637-658 (2024)
DOI Cited by 0
19
Physics informed neural network based scheme and its error analysis for <i>ψ</i>-Caputo type fractional differential equations
S M Sivalingam and V Govindaraj
Physica Scripta, 99(9), 096002 (2024)
DOI Cited by 0
18
Observability of Time-Varying Fractional Dynamical Systems with Caputo Fractional Derivative
S M Sivalingam and V. Govindaraj
Mediterranean Journal of Mathematics, 21(3) (2024)
DOI Cited by 0
17
Neural Fractional Order Differential Equations with Adjoint Based Training
Sivalingam S M
SSRN (2024)
Cited by 0
16
Neural Fractional Order Differential Equations with Adjoint Based Training
Sivalingam S M and Govindaraj V
Ssrn (2024)
DOI Cited by 0
15
Forecasting of HIV/AIDS in South Africa using 1990 to 2021 data: novel integer- and fractional-order fittings
Pushpendra Kumar, Sivalingam S M, and V. Govindaraj
International Journal of Dynamics and Control, 12(7), 2247-2263 (2024)
DOI Cited by 0
14
Controllability of time-varying fractional dynamical systems with distributed delays in control
K S Vishnukumar, S M Sivalingam, and V Govindaraj
Physica Scripta, 99(6), 065218 (2024)
DOI Cited by 0
13
Controllability of time-varying fractional dynamical systems
S. M. Sivalingam, M. Vellappandi, V. Govindaraj, Ibrahim Alraddadi, Faisal Alsharif, and Hijaz Ahmad
Journal of Taibah University for Science, 18(1) (2024)
DOI Cited by 0
12
Controllability of the time-varying fractional dynamical systems with a single delay in control
K. S. Vishnukumar, S. M. Sivalingam, Hijaz Ahmad, and V. Govindaraj
Nonlinear Dynamics, 112(10), 8281-8297 (2024)
DOI Cited by 0
11
An operational matrix approach with Vieta-Fibonacci polynomial for solving generalized Caputo fractal-fractional differential equations
Sivalingam S M, Pushpendra Kumar, V. Govindaraj, Raed Ali Qahiti, Waleed Hamali, and Zico Meetei Mutum
Ain Shams Engineering Journal, 15(5), 102678 (2024)
DOI Cited by 0
10
A novel optimization-based physics-informed neural network scheme for solving fractional differential equations
Sivalingam S M, Pushpendra Kumar, and V. Govindaraj
Engineering with Computers, 40(2), 855-865 (2024)
DOI Cited by 0
9
A novel numerical approach for time-varying impulsive fractional differential equations using theory of functional connections and neural network
Sivalingam SM and V. Govindaraj
Expert Systems with Applications, 238, 121750 (2024)
DOI Cited by 0
8
A novel method to approximate fractional differential equations based on the theory of functional connections
Sivalingam S M, Pushpendra Kumar, and V. Govindaraj
Numerical Algorithms, 95(1), 527-549 (2024)
DOI Cited by 0
7
A novel L1-Predictor-Corrector method for the numerical solution of the generalized-Caputo type fractional differential equations
S M Sivalingam, Pushpendra Kumar, Hieu Trinh, and V. Govindaraj
Mathematics and Computers in Simulation, 220, 462-480 (2024)
DOI Cited by 0
6
A Chebyshev neural network-based numerical scheme to solve distributed-order fractional differential equations
S.M. Sivalingam, Pushpendra Kumar, and V. Govindaraj
Computers &amp; Mathematics with Applications, 164, 150-165 (2024)
DOI Cited by 0

2023

5
The hybrid average subtraction and standard deviation based optimizer
Sivalingam S M, Pushpendra Kumar, and V. Govindaraj
Advances in Engineering Software, 176, 103387 (2023)
DOI Cited by 0
4
Implementation of statistical techniques to analyze agriculture data
Sivalingam, Vinitha Vijayan, Ganesh Nair, Athira, Sindhu Karyankandi Puthanpurayil, Sowmya Adapa, Sahithi Pesala, and Vijayalakshmi Chellappa
AIP Conference Proceedings, 2797, 070004 (2023)
DOI Cited by 0
3
A novel numerical scheme for fractional differential equations using extreme learning machine
Sivalingam S M, Pushpendra Kumar, and V. Govindaraj
Physica A: Statistical Mechanics and its Applications, 622, 128887 (2023)
DOI Cited by 0
2
A neural networks-based numerical method for the generalized Caputo-type fractional differential equations
Sivalingam S M, Pushpendra Kumar, and Venkatesan Govindaraj
Mathematics and Computers in Simulation, 213, 302-323 (2023)
DOI Cited by 0
1
A case study of monkeypox disease in the United States using mathematical modeling with real data
Pushpendra Kumar, M. Vellappandi, Zareen A. Khan, Sivalingam S M, Anthony Kaziboni, and V. Govindaraj
Mathematics and Computers in Simulation, 213, 444-465 (2023)
DOI Cited by 0