Sr. No. | Title | Details |
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1 | Fractional fuzzy model of advection-reaction-diffusion equation with application in porous media | Year of Publication : 2022, Name of Journal : Journal of Porous Media Author(s) : Sachin Kumar ISSN No. : 19340508, Volume : 25, Page No. : 15-33, Website Link Citations : , Impact Factor : 1.752 |
2 | Numerical solution of fuzzy fractional diffusion equation by Chebyshev spectral method | Year of Publication : 2022, Name of Journal : Numerical Methods for Partial Differential Equations Author(s) : Sachin Kumar ISSN No. : 1098-2426, Volume : 38, Page No. : 490-508, Website Link Citations : , Impact Factor : 3.009 |
3 | Chebyshev spectral method for solving fuzzy fractional Fredholm– Volterra integro-differential equation | Year of Publication : 2022, Name of Journal : Mathematics and Computers in Simulation Author(s) : Sachin Kumar, J. J. Nieto, Bashir Ahmad ISSN No. : 0378-4754, Volume : 192, Page No. : 501-513, Website Link Citations : , Impact Factor : 2.463 |
4 | A new numerical study of space– time fractional advection–reaction– diffusion equation with Rabotnov fractional-exponential kernel | Year of Publication : 2022, Name of Journal : Numerical Methods for Partial Differential Equations Author(s) : Sachin Kumar, Bashir Ahmad ISSN No. : 1098-2426, Volume : 38, Page No. : 457-469, Website Link Citations : , Impact Factor : 3.009 |
5 | Numerical solution of ABC space– time fractional distributed order reaction–diffusion equation | Year of Publication : 2022, Name of Journal : Numerical Methods for Partial Differential Equations Author(s) : Sachin Kumar, Abdon Atangana ISSN No. : 1098-2426, Volume : 38, Page No. : 406-421, Website Link Citations : , Impact Factor : 3.009 |
6 | Numerical solution of the time fractional reaction-advection diffusion equation in porous media | Year of Publication : 2022, Name of Journal : Journal of Applied and Computational Mechanics Author(s) : Prashant Pandey, Sachin Kumar, J. G´omez- Aguilar ISSN No. : 2383-4536, Volume : 8, Page No. : 84-96, Website Link Citations : , Impact Factor : |
7 | Numerical study of zika model as a mosquito borne virus with non singular fractional derivative | Year of Publication : 2021, Name of Journal : International Journal of Biomathematics Author(s) : Sachin Kumar, Dia Zeidan ISSN No. : 1793-7159, Volume : 15, Page No. : 2250018, Website Link Citations : , Impact Factor : 2.053 |
8 | An efficient Mittag-Leffler kernel approach for time-fractional advection-reaction-diffusion equation | Year of Publication : 2021, Name of Journal : Applied Numerical Mathematics Author(s) : Sachin Kumar, Dia Zeidan ISSN No. : 0168-9274, Volume : 170, Page No. : 190-207, Website Link Citations : , Impact Factor : 2.468 |
9 | Analysis of tumor cells in the absence and presence of chemotherapeutic treatment: The case of Caputo-Fabrizio time fractional derivative | Year of Publication : 2021, Name of Journal : Mathematics and Computers in Simulation Author(s) : Sachin Kumar, Subir Das, S.H. Ong ISSN No. : 0378--4754, Volume : 190, Page No. : 1-14, Website Link Citations : , Impact Factor : 2.463 |
10 | Double-quasi-wavelet numerical method for the variable-order time fractional and riesz space fractional reaction–diffusion equation involving derivatives in Caputo– Fabrizio sense | Year of Publication : 2020, Name of Journal : Fractals Author(s) : Sachin Kumar, Prashant Pandey, J. G´omez- Aguilar, Dumitru Baleanu ISSN No. : 1793-6543, Volume : 08, Page No. : 2040047, Website Link Citations : , Impact Factor : 3.665 |
11 | Numerical solution of CaputoFabrizio time fractional distributed order reaction-diffusion equation via quasi wavelet based numerical method | Year of Publication : 2020, Name of Journal : Journal of Applied and Computational Mechanics Author(s) : Sachin Kumar, J. F. G´omezAguilar ISSN No. : 23834536, Volume : 6, Page No. : 848-861, Website Link Citations : , Impact Factor : |
12 | Numerical solution of two-dimensional time fractional Cable equation with Mittag-Leffler kernel | Year of Publication : 2020, Name of Journal : Mathematical Methods in the Applied Sciences Author(s) : Sachin Kumar, Dumitru Baleanu ISSN No. : 1099-1476, Volume : 43, Page No. : 8348-8362, Website Link Citations : , Impact Factor : 2.321 |
13 | Derivation of operational matrix of Rabotnov fractional-exponential kernel and its application to fractional Lienard equation | Year of Publication : 2020, Name of Journal : Alexandria Engineering Journal Author(s) : Sachin Kumar, J. G´omezAguilar, J. Lav´ınDelgado, Dumitru Baleanu ISSN No. : 1110-0168, Volume : 59, Page No. : 1110-0168, Website Link Citations : , Impact Factor : 3.732 |
14 | Numerical solutions for the reaction–diffusion, diffusion-wave, and Cattaneo equations using a new operational matrix for the Caputo– Fabrizio derivative | Year of Publication : 2020, Name of Journal : Mathematical Methods in the Applied Sciences Author(s) : Sachin Kumar, J. F. G´omez Aguilar, P. Pandey ISSN No. : 1099-1476, Volume : 43, Page No. : 8595-8607, Website Link Citations : , Impact Factor : 2.321 |
15 | A novel mathematical approach of COVID19 with non-singular fractional derivative | Year of Publication : 2020, Name of Journal : Chaos, Solitons & Fractals Author(s) : Sachin Kumar, J. Cao, M. Abdel-Aty ISSN No. : 0960-0779, Volume : 139, Page No. : 110048, Website Link Citations : , Impact Factor : 5.944 |
16 | A numerical method for time fractional reaction-diffusion and integro reaction-diffusion equation based on quasi-wavelet | Year of Publication : 2020, Name of Journal : Complexity Author(s) : Sachin Kumar, J. Cao, X. Li ISSN No. : 1099-0526, Volume : 2020, Page No. : NA, Website Link Citations : , Impact Factor : 2.833 |
17 | A new numerical method for time fractional non-linear Sharma-Tasso Oliver equation and Klein-Gordon equation with exponential kernel law | Year of Publication : 2020, Name of Journal : Frontiers in Physics Author(s) : Sachin Kumar, Dumitru Baleanu ISSN No. : 2296-424X, Volume : 8, Page No. : 136, Website Link Citations : , Impact Factor : 3.560 |
18 | A numerical study of the nonlinear fractional mathematical model of tumor cells in presence of chemotherapeutic treatment | Year of Publication : 2020, Name of Journal : International Journal of Biomathematics Author(s) : Sachin Kumar, Abdon Atangana ISSN No. : 1793-7159, Volume : 13, Page No. : 2050021, Website Link Citations : , Impact Factor : 2.053 |
19 | Operational matrix method for solving nonlinear space-time fractional order reaction-diffusion equation based on Genocchi polynomial | Year of Publication : 2020, Name of Journal : Special Topics & Reviews in Porous Media: An International Journal Author(s) : Sachin Kumar, Prashant Pandey, S. Das ISSN No. : 2151-4798, Volume : 11, Page No. : 33-47, Website Link Citations : , Impact Factor : |
20 | Quasi wavelet numerical approach of non-linear reaction diffusion and integro reaction-diffusion equation with Atangana– Baleanu time fractional derivative | Year of Publication : 2020, Name of Journal : Chaos, Solitons & Fractals Author(s) : Sachin Kumar, Prashant Pandey ISSN No. : 0960-0779, Volume : 130, Page No. : 109402, Website Link Citations : , Impact Factor : 5.944 |
21 | A Legendre spectral finite difference method for the solution of non-linear space-time fractional Burgers–Huxley and reactiondiffusion equation with Atangana– Baleanu derivative | Year of Publication : 2020, Name of Journal : Chaos, Solitons & Fractals Author(s) : Sachin Kumar, Prashant Pandey ISSN No. : 0960-0779, Volume : 43, Page No. : 109402, Website Link Citations : , Impact Factor : 5.944 |
22 | Approximate analytical solution of two-dimensional space-time fractional diffusion equation | Year of Publication : 2020, Name of Journal : Mathematical Methods in the Applied Sciences Author(s) : Prashant Pandey, Sachin Kumar, F. G´omez ISSN No. : 1099-1476, Volume : 43, Page No. : 7194-7207, Website Link Citations : , Impact Factor : 2.321 |
23 | An efficient technique for solving the space-time fractional reaction diffusion equation in porous media | Year of Publication : 2020, Name of Journal : Chinese Journal of Physics Author(s) : Prashant Pandey, Sachin Kumar, J. G´omez- Aguilar, D. Baleanu ISSN No. : 0577-9073, Volume : 68, Page No. : 483-492, Website Link Citations : , Impact Factor : 3.237 |
24 | Gegenbauer wavelet operational matrix method for solving variableorder non-linear reaction–diffusion and Galilei invariant advection– diffusion equations | Year of Publication : 2019, Name of Journal : Computational and Applied Mathematics Author(s) : Sachin Kumar, Prashant Pandey, S. Das ISSN No. : 1807-0302, Volume : 38, Page No. : 1-22, Website Link Citations : , Impact Factor : 2.239 |
25 | Numerical solution of two dimensional reaction–diffusion equation using operational matrix method based on Genocchi polynomial | Year of Publication : 2019, Name of Journal : Proc. Rom. Acad., Ser. A: Math. Phys. Tech. Sci. Inf. Sci Author(s) : Sachin Kumar, P. Pandey, S. Das, E. Craciun ISSN No. : 14549069, Volume : 20, Page No. : 393-399, Website Link Citations : , Impact Factor : 1.294 |
26 | An operational matrix for solving time-fractional order Cahn-Hilliard equation | Year of Publication : 2019, Name of Journal : THERMAL SCIENCE Author(s) : Prashant Pandey, Sachin Kumar, H. Jafari, S. Das ISSN No. : 2334-7163, Volume : 23, Page No. : S2045S2052 , Website Link Citations : , Impact Factor : |
27 | Approximate analytical solution of coupled fractional order reaction advection-diffusion equations | Year of Publication : 2019, Name of Journal : The European Physical Journal Plus Author(s) : Prashant Pandey, Sachin Kumar, Subir Das ISSN No. : 2190-5444, Volume : 134, Page No. : 364, Website Link Citations : , Impact Factor : 3.911 |
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