Applied Mathematics, Modeling and Simulation, Computational Mathematics
659
Scholar Citations
17
Scholar h-index
23
Scholar i10-index
RECENT SCHOLAR PUBLICATIONS
Numerical Simulation of a Time-Fractional Marriage-Divorce Model Using Bernstein Neural Networks A Kumar, S Kumar, P Varshney, GK Singh, JF Gomez-Aguilar, ... International Journal of Modeling, Simulation, and Scientific Computing , 2026 2026
A bernstein polynomial-based neural network framework for solving fractional tumor growth mathematical model: P. Varshney, G, R. Naunyal and S. Kumar P Varshney, GR Naunyal, S Kumar Zeitschrift für angewandte Mathematik und Physik 77 (3), 95 , 2026 2026
A High-Precision Bernstein Wavelet Neural Network Modeling for Solving Fractional-Order Brucellosis Infection Models P Varshney, GR Naunyal, S Kumar Physica Scripta , 2026 2026
A deep Legendre polynomial neural network for nonlinear time–space fractional reaction–diffusion equations A Kumar, S Kumar, P Varshney AIP Advances 15 (10) , 2025 2025
Crank-nicolson quasi-wavelet method for the numerical solution of variable-order time-space riesz fractional reaction-diffusion equation S Kumar Applications of Fractional Calculus to Modeling in Dynamics and Chaos, 407-428 , 2022 2022 Citations: 5
Numerical study of Zika model as a mosquito-borne virus with non-singular fractional derivative S Kumar, D Zeidan International Journal of Biomathematics 15 (05), 2250018 , 2022 2022 Citations: 19
A new numerical study of space–time fractional advection–reaction–diffusion equation with Rabotnov fractional‐exponential kernel S Kumar, B Ahmad Numerical Methods for Partial Differential Equations 38 (3), 457-469 , 2022 2022 Citations: 6
Numerical solution of fuzzy fractional diffusion equation by Chebyshev spectral method S Kumar Numerical Methods for Partial Differential Equations 38 (3), 490-508 , 2022 2022 Citations: 22
Numerical solution of ABC space–time fractional distributed order reaction–diffusion equation S Kumar, A Atangana Numerical methods for partial differential equations 38 (3), 406-421 , 2022 2022 Citations: 23
Chebyshev spectral method for solving fuzzy fractional Fredholm–Volterra integro-differential equation S Kumar, JJ Nieto, B Ahmad Mathematics and Computers in Simulation 192, 501-513 , 2022 2022 Citations: 32
Fractional fuzzy model of advection-reaction-diffusion equation with application in porous media S Kumar Journal of Porous Media 25 (7) , 2022 2022 Citations: 7
Numerical solution of the time fractional reaction-advection-diffusion equation in porous media P Pandey, S Kumar, JF Gómez-Aguilar Journal of Applied and Computational Mechanics 8 (1), 84-96 , 2022 2022 Citations: 33
An efficient Mittag-Leffler kernel approach for time-fractional advection-reaction-diffusion equation S Kumar, D Zeidan Applied Numerical Mathematics 170, 190-207 , 2021 2021 Citations: 51
Analysis of tumor cells in the absence and presence of chemotherapeutic treatment: the case of Caputo-Fabrizio time fractional derivative S Kumar, S Das, SH Ong Mathematics and Computers in Simulation 190, 1-14 , 2021 2021 Citations: 14
Double-quasi-wavelet numerical method for the variable-order time fractional and Riesz space fractional reaction–diffusion equation involving derivatives in Caputo–Fabrizio sense S Kumar, P Pandey, JF Gómez-Aguilar, D Baleanu Fractals 28 (08), 2040047 , 2020 2020 Citations: 5
An efficient technique for solving the space-time fractional reaction-diffusion equation in porous media P Pandey, S Kumar, JF Gómez-Aguilar, D Baleanu Chinese Journal of Physics 68, 483-492 , 2020 2020 Citations: 57
Numerical solution of Caputo-Fabrizio time fractional distributed order reaction-diffusion equation via quasi wavelet based numerical method S Kumar, JF Gómez-Aguilar Journal of Applied and Computational Mechanics 6 (4), 848-861 , 2020 2020 Citations: 27
Numerical solution of two‐dimensional time fractional cable equation with Mittag‐Leffler kernel S Kumar, D Baleanu Mathematical Methods in the Applied Sciences 43 (15), 8348-8362 , 2020 2020 Citations: 22
Derivation of operational matrix of Rabotnov fractional-exponential kernel and its application to fractional Lienard equation S Kumar, JF Gomez-Aguilar, JE Lavin-Delgado, D Baleanu Alexandria Engineering Journal 59 (5), 2991-2997 , 2020 2020 Citations: 10
Numerical solutions for the reaction–diffusion, diffusion‐wave, and Cattaneo equations using a new operational matrix for the Caputo–Fabrizio derivative S Kumar, JF Gómez Aguilar, P Pandey Mathematical Methods in the Applied Sciences 43 (15), 8595-8607 , 2020 2020 Citations: 29
MOST CITED SCHOLAR PUBLICATIONS
An efficient technique for solving the space-time fractional reaction-diffusion equation in porous media P Pandey, S Kumar, JF Gómez-Aguilar, D Baleanu Chinese Journal of Physics 68, 483-492 , 2020 2020 Citations: 57
An efficient Mittag-Leffler kernel approach for time-fractional advection-reaction-diffusion equation S Kumar, D Zeidan Applied Numerical Mathematics 170, 190-207 , 2021 2021 Citations: 51
A numerical study of the nonlinear fractional mathematical model of tumor cells in presence of chemotherapeutic treatment S Kumar, A Atangana International Journal of Biomathematics 13 (03), 2050021 , 2020 2020 Citations: 49
A novel mathematical approach of COVID-19 with non-singular fractional derivative S Kumar, J Cao, M Abdel-Aty Chaos, Solitons & Fractals 139, 110048 , 2020 2020 Citations: 46
Numerical solution of the time fractional reaction-advection-diffusion equation in porous media P Pandey, S Kumar, JF Gómez-Aguilar Journal of Applied and Computational Mechanics 8 (1), 84-96 , 2022 2022 Citations: 33
Chebyshev spectral method for solving fuzzy fractional Fredholm–Volterra integro-differential equation S Kumar, JJ Nieto, B Ahmad Mathematics and Computers in Simulation 192, 501-513 , 2022 2022 Citations: 32
Numerical solutions for the reaction–diffusion, diffusion‐wave, and Cattaneo equations using a new operational matrix for the Caputo–Fabrizio derivative S Kumar, JF Gómez Aguilar, P Pandey Mathematical Methods in the Applied Sciences 43 (15), 8595-8607 , 2020 2020 Citations: 29
Gegenbauer wavelet operational matrix method for solving variable-order non-linear reaction–diffusion and Galilei invariant advection–diffusion equations S Kumar, P Pandey, S Das Computational and Applied Mathematics 38 (4), 162 , 2019 2019 Citations: 29
Approximate analytical solution of coupled fractional order reaction-advection-diffusion equations P Pandey, S Kumar, S Das The European Physical Journal Plus 134 (7), 364 , 2019 2019 Citations: 29
Numerical solution of Caputo-Fabrizio time fractional distributed order reaction-diffusion equation via quasi wavelet based numerical method S Kumar, JF Gómez-Aguilar Journal of Applied and Computational Mechanics 6 (4), 848-861 , 2020 2020 Citations: 27
Numerical solution of two dimensional reaction–diffusion equation using operational matrix method based on Genocchi polynomial. Part I: Genocchi polynomial and operational matrix S Kumar, P Pandey, S Das, EM Craciun Proc. Rom. Acad., Ser. A: Math. Phys. Tech. Sci. Inf. Sci 20 (4), 393-399 , 2019 2019 Citations: 27
A Legendre spectral finite difference method for the solution of non-linear space-time fractional Burger’s–Huxley and reaction-diffusion equation with Atangana–Baleanu derivative S Kumar, P Pandey Chaos, Solitons & Fractals 130, 109402 , 2020 2020 Citations: 26
Numerical solution of ABC space–time fractional distributed order reaction–diffusion equation S Kumar, A Atangana Numerical methods for partial differential equations 38 (3), 406-421 , 2022 2022 Citations: 23
Numerical solution of fuzzy fractional diffusion equation by Chebyshev spectral method S Kumar Numerical Methods for Partial Differential Equations 38 (3), 490-508 , 2022 2022 Citations: 22
Numerical solution of two‐dimensional time fractional cable equation with Mittag‐Leffler kernel S Kumar, D Baleanu Mathematical Methods in the Applied Sciences 43 (15), 8348-8362 , 2020 2020 Citations: 22
A new numerical method for time fractional non-linear sharma-tasso-oliver equation and klein-Gordon equation with exponential kernel law S Kumar, D Baleanu Frontiers in Physics 8, 136 , 2020 2020 Citations: 21
Numerical study of Zika model as a mosquito-borne virus with non-singular fractional derivative S Kumar, D Zeidan International Journal of Biomathematics 15 (05), 2250018 , 2022 2022 Citations: 19
Approximate analytical solution of two‐dimensional space‐time fractional diffusion equation P Pandey, S Kumar, F Gómez Mathematical Methods in the Applied Sciences 43 (12), 7194-7207 , 2020 2020 Citations: 17
Quasi wavelet numerical approach of non-linear reaction diffusion and integro reaction-diffusion equation with Atangana–Baleanu time fractional derivative S Kumar, P Pandey Chaos, Solitons & Fractals 130, 109456 , 2020 2020 Citations: 17
An operational matrix for solving time-fractional order Cahn-Hilliard equation P Pandey, S Kumar, H Jafari, S Das Thermal Science 23 (Suppl. 6), 2045-2052 , 2019 2019 Citations: 15
