Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

HOME ALL ARTICLES View

J. Korean Math. Soc. 2017; 54(4): 1209-1229

Online first article March 20, 2017      Printed July 1, 2017

https://doi.org/10.4134/JKMS.j160423

Copyright © The Korean Mathematical Society.

Analytical techniques for system of time fractional nonlinear differential equations

Junesang Choi, Devendra Kumar, Jagdev Singh, and Ram Swroop

Dongguk University, JECRC University, JECRC University, Arya Institute of Engineering \& Technology, Riico Kukas

Abstract

We coupled the so-called Sumudu transform with the homotopy perturbation method (HPM) and the homotopy analysis method (HAM), which are called homotopy perturbation Sumudu transform \linebreak method (HPSTM) and homotopy analysis Sumudu transform method (HASTM), respectively. Then we show how HPSTM and HASTM are more convenient than HPM and HAM by conducting a comparative analytical study for a system of time fractional nonlinear differential equations. A Maple package is also used to enhance the clarity of the involved numerical simulations.

Keywords: nonlinear differential equations, homotopy perturbation method, homotopy analysis method, Sumudu transform

MSC numbers: 34A08, 35A20, 35A22