Efficient analytical techniques for solving time-fractional nonlinear coupled Jaulent–Miodek system with energy-dependent Schrödinger potential

Advances in Difference Equations

Hamed Daei Kasmaei¹  Olaniyi S. Iyiola²  Mehmet Şenol³  Lanre Akinyemi⁴ 

[1] Department of Mathematics and Statistics, Islamic Azad University, Central Tehran Branch;Department of Mathematics, Computer Science & Information System, California University of Pennsylvania;Department of Mathematics, Nevşehir Hacı Bektaş Veli University;Department of Mathematics, Ohio University;

关键词: Partial fractional differential equations;    Fractional derivatives;    Residual power series method;   

DOI  :  10.1186/s13662-019-2397-5

来源: DOAJ

【 摘 要 】

Abstract In this paper, we present analytical-approximate solution to the time-fractional nonlinear coupled Jaulent–Miodek system of equations which comes with an energy-dependent Schrödinger potential by means of a residual power series method (RSPM) and a q-homotopy analysis method (q-HAM). These methods produce convergent series solutions with easily computable components. Using a specific example, a comparison analysis is done between these methods and the exact solution. The numerical results show that present methods are competitive, powerful, reliable, and easy to implement for strongly nonlinear fractional differential equations.

【 授权许可】

Unknown