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 | 231 | 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 | 97 | 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 | 93 | 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 | 92 | 2019 |
Residual power series method for fractional diffusion equations A Kumar, S Kumar, SP Yan Fundamenta Informaticae 151 (1-4), 213-230, 2017 | 84 | 2017 |
A new analysis for the Keller-Segel model of fractional order S Kumar, A Kumar, IK Argyros Numerical Algorithms 75, 213-228, 2017 | 78 | 2017 |
Residual power series method for fractional Sharma-Tasso-Olever equation A Kumar, S Kumar, M Singh Commun. Numer. Anal 10, 1-10, 2016 | 71 | 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 | 68 | 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 | 59 | 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 | 52 | 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 | 49 | 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 | 43 | 2018 |
Residual power series method for fractional Burger types equations A Kumar, S Kumar Nonlinear Engineering 5 (4), 235-244, 2016 | 32 | 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 | 23 | 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 | 14 | 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 | 14 | 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 | 12 | 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 | 9 | 2021 |
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 |
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 |