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Dr. Amit kumar
Dr. Amit kumar
Assistant Professor, Department of Mathematics, Balarampur College Purulia
Verified email at nitjsr.ac.in
Title
Cited by
Cited by
Year
Two analytical methods for time-fractional nonlinear coupled Boussinesq–Burger’s equations arise in propagation of shallow water waves
S Kumar, A Kumar, D Baleanu
Nonlinear Dynamics 85, 699-715, 2016
2312016
A modified analytical approach with existence and uniqueness for fractional Cauchy reaction–diffusion equations
S Kumar, A Kumar, S Abbas, M Al Qurashi, D Baleanu
Advances in Difference Equations 2020 (1), 28, 2020
972020
A nonlinear fractional model to describe the population dynamics of two interacting species
S Kumar, A Kumar, ZM Odibat
Mathematical Methods in the Applied Sciences 40 (11), 4134-4148, 2017
932017
Numerical solutions of nonlinear fractional model arising in the appearance of the strip patterns in two-dimensional systems
S Kumar, A Kumar, S Momani, M Aldhaifallah, KS Nisar
Advances in Difference Equations 2019 (1), 1-19, 2019
922019
Residual power series method for fractional diffusion equations
A Kumar, S Kumar, SP Yan
Fundamenta Informaticae 151 (1-4), 213-230, 2017
842017
A new analysis for the Keller-Segel model of fractional order
S Kumar, A Kumar, IK Argyros
Numerical Algorithms 75, 213-228, 2017
782017
Residual power series method for fractional Sharma-Tasso-Olever equation
A Kumar, S Kumar, M Singh
Commun. Numer. Anal 10, 1-10, 2016
712016
Residual power series method for time-fractional Schrödinger equations
Y Zhang, A Kumar, S Kumar, D Baleanu, XJ Yang
J. Nonlinear Sci. Appl 9 (11), 5821-5829, 2016
682016
A comparison study of two modified analytical approach for the solution of nonlinear fractional shallow water equations in fluid flow
S Kumar, A Kumar, Z Odibat, M Aldhaifallah, KS Nisar
AIMS Mathematics 5 (4), 3035-3055, 2020
592020
Analytical solution of Abel integral equation arising in astrophysics via Laplace transform
S Kumar, A Kumar, D Kumar, J Singh, A Singh
Journal of the Egyptian Mathematical Society 23 (1), 102-107, 2015
522015
A fractional model to describe the Brownian motion of particles and its analytical solution
JJ Yao, A Kumar, S Kumar
Advances in Mechanical Engineering 7 (12), 1687814015618874, 2015
492015
A modified analytical approach for fractional discrete KdV equations arising in particle vibrations
A Kumar, S Kumar
Proceedings of the National Academy of Sciences, India Section A: Physical …, 2018
432018
Residual power series method for fractional Burger types equations
A Kumar, S Kumar
Nonlinear Engineering 5 (4), 235-244, 2016
322016
On the approximate solution of nonlinear time-fractional KdV equation via modified homotopy analysis Laplace transform method
C Li, A Kumar, S Kumar, XJ Yang
J. Nonlinear Sci. Appl 9, 5463-5470, 2016
232016
Closed-form invariant solutions from the Lie symmetry analysis and dynamics of solitonic profiles for ()-dimensional modified Heisenberg ferromagnetic system
A Kumar, S Kumar, H Kharbanda
Modern Physics Letters B 36 (07), 2150609, 2022
142022
Atangana–Baleanu derivative with fractional order applied to the gas dynamics equations
S Kumar, A Kumar, JJ Nieto, B Sharma
Fractional Derivatives with Mittag-Leffler Kernel: Trends and Applications …, 2019
142019
Homotopy analysis transform algorithm to solve time-fractional foam drainage equation
M Singh, M Naseem, A Kumar, S Kumar
Nonlinear Engineering 5 (3), 161-166, 2016
122016
An analysis for Klein–Gordon equation using fractional derivative having Mittag–Leffler‐type kernel
A Kumar, D Baleanu
Mathematical Methods in the Applied Sciences 44 (7), 5458-5474, 2021
92021
An Efficient Numerical Scheme for Time-Fractional Coupled Shallow-Water Equations with a Non-Singular Fractional Derivative
A Kumar
Wave Dynamics, 245-261, 2022
32022
An efficient analytical method for the fractional order Sharma–Tasso–Olever equation by means of the Caputo–Fabrizio derivative
A Kumar
Computation and Modeling for Fractional Order Systems, 29-39, 2024
2024
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