The hybrid average subtraction and standard deviation based optimizer. - Sivalingam S. M; Pushpendra Kumar 001; Govindaraj Venkatesan (Adv. Eng. Softw., 2023)

A case study of monkeypox disease in the United States using mathematical modeling with real data. - Pushpendra Kumar 001; Madasamy Vellappandi; Zareen A. Khan; Sivalingam S. M; Anthony Kaziboni; Govindaraj Venkatesan (Math. Comput. Simul., 2023)

A neural networks-based numerical method for the generalized Caputo-type fractional differential equations. - Sivalingam S. M; Pushpendra Kumar 001; Govindaraj Venkatesan (Math. Comput. Simul., 2023)

A Chebyshev neural network-based numerical scheme to solve distributed-order fractional differential equations. - Sivalingam S. M; Pushpendra Kumar 001; V. Govindaraj (Comput. Math. Appl., 2024)

A novel L1-Predictor-Corrector method for the numerical solution of the generalized-Caputo type fractional differential equations. - Sivalingam S. M; Pushpendra Kumar 001; Hieu Trinh; Govindaraj Venkatesan (Math. Comput. Simul., 2024)

A novel method to approximate fractional differential equations based on the theory of functional connections. - Sivalingam S. M; Pushpendra Kumar 001; V. Govindaraj (Numer. Algorithms, 2024)

A novel numerical approach for time-varying impulsive fractional differential equations using theory of functional connections and neural network. - Sivalingam S. M; V. Govindaraj (Expert Syst. Appl., 2024)

A novel optimization-based physics-informed neural network scheme for solving fractional differential equations. - Sivalingam S. M; Pushpendra Kumar 001; V. Govindaraj (Eng. Comput., 2024)

Neural fractional order differential equations. - Sivalingam S. M; V. Govindaraj (Expert Syst. Appl., 2025)

Spectral coefficient learning physics informed neural network for time-dependent fractional parametric differential problems. - Sivalingam S. M; V. Govindaraj; Ahmed S. Hendy (CoRR, 2025)

L1-predictor-corrector method for ψ-Caputo type fractional differential equations. - Sivalingam S. M; V. Govindaraj; José Vanterler da Costa Sousa; Ahmed S. Hendy (Comput. Appl. Math., 2025)