Constrained physics informed deep implicit neural network for ordinary and partial differential equations.

Govindaraj Venkatesan https://orcid.org/0000-0002-6564-5358

Sivalingam S. M Govindaraj Venkatesan Shruti Dubey Constrained physics informed deep implicit neural network for ordinary and partial differential equations. 104-133 2026 241 Math. Comput. Simul. https://doi.org/10.1016/j.matcom.2025.08.006 db/journals/mcs/mcs241.html#MVD26 streams/journals/mcs

R. Poovarasan Mohammad Esmael Samei Govindaraj Venkatesan Analysis of existence, uniqueness, and stability for nonlinear fractional boundary value problems with novel integral boundary conditions. 3771-3802 2025 June 71 J. Appl. Math. Comput. 3 https://doi.org/10.1007/s12190-025-02378-3 db/journals/jamc/jamc71.html#PoovarasanSV25 streams/journals/jamc

R. Poovarasan Mohammad Esmael Samei Govindaraj Venkatesan Study of three-point impulsive boundary value problems governed by Ψ-Caputo fractional derivative. 3947-3983 2024 August 70 J. Appl. Math. Comput. 4 https://doi.org/10.1007/s12190-024-02122-3 db/journals/jamc/jamc70.html#PoovarasanSV24 streams/journals/jamc

Anjapuli Panneer Selvam Govindaraj Venkatesan Investigation of controllability and stability of fractional dynamical systems with delay in control. 89-104 2024 220 Math. Comput. Simul. https://doi.org/10.1016/j.matcom.2024.01.011 https://www.wikidata.org/entity/Q129995885 db/journals/mcs/mcs220.html#SelvamV24

Sivalingam S. M Pushpendra Kumar 0001 Hieu Trinh Govindaraj Venkatesan A novel L1-Predictor-Corrector method for the numerical solution of the generalized-Caputo type fractional differential equations. 462-480 2024 220 Math. Comput. Simul. https://doi.org/10.1016/j.matcom.2024.01.017 https://www.wikidata.org/entity/Q129285015 db/journals/mcs/mcs220.html#MKTV24

Sivalingam S. M Pushpendra Kumar 0001 Govindaraj Venkatesan The hybrid average subtraction and standard deviation based optimizer. 103387 2023 February 176 Adv. Eng. Softw. https://doi.org/10.1016/j.advengsoft.2022.103387 db/journals/aes/aes176.html#MKG23

Pushpendra Kumar 0001 Vedat Suat Ertürk Govindaraj Venkatesan Mustafa Inç Hamadjam Abboubakar Kottakkaran Sooppy Nisar Dynamics of COVID-19 epidemic via two different fractional derivatives. 2350007:1-2350007:23 2023 June 14 Int. J. Model. Simul. Sci. Comput. 3 https://doi.org/10.1142/S1793962323500071 https://www.wikidata.org/entity/Q113268554 db/journals/ijmssc/ijmssc14.html#KumarEVIAN23

Jayakumar Kokila Madasamy Vellappandi Meghana D. Govindaraj Venkatesan Optimal control study on Michaelis-Menten kinetics - A fractional version. 571-592 2023 210 Math. Comput. Simul. https://doi.org/10.1016/j.matcom.2023.03.033 db/journals/mcs/mcs210.html#KokilaVDV23

Sivalingam S. M Pushpendra Kumar 0001 Govindaraj Venkatesan A neural networks-based numerical method for the generalized Caputo-type fractional differential equations. 302-323 2023 November 213 Math. Comput. Simul. https://doi.org/10.1016/j.matcom.2023.06.012 db/journals/mcs/mcs213.html#MKV23

Pushpendra Kumar 0001 Madasamy Vellappandi Zareen A. Khan Sivalingam S. M Anthony Kaziboni Govindaraj Venkatesan A case study of monkeypox disease in the United States using mathematical modeling with real data. 444-465 2023 November 213 Math. Comput. Simul. https://doi.org/10.1016/j.matcom.2023.06.016 db/journals/mcs/mcs213.html#KumarVKMKV23

Adhiyaman Manickam Pushpendra Kumar 0001 K. Dasunaidu Govindaraj Venkatesan Dheeraj Kumar Joshi A stochastic SIR model for analysis of testosterone suppression of CRH-stimulated cortisol in men. 2250021:1-2250021:7 2022 13 Int. J. Model. Simul. Sci. Comput. 3 https://doi.org/10.1142/S1793962322500210 db/journals/ijmssc/ijmssc13.html#ManickamKDGJ22

Hamadjam Abboubakar Meghana D. K. Dasunaidu Shruti Dubey Vedat Suat Ertürk Mustafa Inç Dheeraj Kumar Joshi Anthony Kaziboni Zareen A. Khan Jayakumar Kokila Pushpendra Kumar 0001 Sivalingam S. M Adhiyaman Manickam Kottakkaran Sooppy Nisar R. Poovarasan Mohammad Esmael Samei Anjapuli Panneer Selvam Hieu Minh TrinhHieu Trinh Madasamy Vellappandi