Solving the fractional Jaulent-Miodek system via a modified Laplace decomposition method


ÇINAR M. , ÖNDER İ. , SEÇER A. , Bayram M., Sulaiman T. A. , Yusuf A.

WAVES IN RANDOM AND COMPLEX MEDIA, 2022 (Journal Indexed in SCI) identifier

  • Publication Type: Article / Article
  • Publication Date: 2022
  • Doi Number: 10.1080/17455030.2022.2057613
  • Title of Journal : WAVES IN RANDOM AND COMPLEX MEDIA
  • Keywords: Coupled Jaulent-Miodek system, fractional differential equation system, modified Laplace decomposition method, Adomian's decomposition, Adomian's polynomials, EQUATION, CONVERGENCE, WAVELETS

Abstract

In this paper, the time-fractional Jaulent-Miodek system associated with energy-dependent Schrodinger potential is solved by the modified Laplace decomposition method. The Caputo fractional derivative is considered throughout the paper. The attained solutions using the method are analyzed and compared with the solutions of the existing studies in the literature to demonstrate the efficacy and applicability of the technique. The results are summarized in the tables and figures. We use Mathematica for all computations and figures in the paper. The method is competitive, easily computable, and adaptable to solving various nonlinear problems.