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
240 2016 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
106 2020 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
98 2017 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
94 2019 Residual power series method for fractional diffusion equations A Kumar, S Kumar, SP Yan
Fundamenta Informaticae 151 (1-4), 213-230, 2017
88 2017 A new analysis for the Keller-Segel model of fractional order S Kumar, A Kumar, IK Argyros
Numerical Algorithms 75, 213-228, 2017
84 2017 Residual power series method for fractional Sharma-Tasso-Olever equation A Kumar, S Kumar, M Singh
Commun. Numer. Anal 10, 1-10, 2016
76 2016 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
72 2016 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
68 2020 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
57 2015 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
53 2015 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
44 2018 Residual power series method for fractional Burger types equations A Kumar, S Kumar
Nonlinear Engineering 5 (4), 235-244, 2016
34 2016 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
24 2016 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
20 2022 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
15 2019 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
14 2016 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
13 2021 Numerical simulation of fuzzy fractional differential equations using a reliable technique S Mukherjee, A Kumar, S Kumbhakar
Journal of Fuzzy Extension and Applications 5 (2), 159-172, 2024
4 2024 An efficient numerical scheme for time-fractional coupled Shallow-Water equations with a non-singular fractional derivative A Kumar
Wave Dynamics, 245-261, 2022
3 2022