An efficient semi-analytical method for solving the generalized regularized long wave equations with a new fractional derivative operator

Srivastava H., Deni̇z S., Saad K. M.

Journal of King Saud University - Science, vol.33, no.2, 2021 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 33 Issue: 2
  • Publication Date: 2021
  • Doi Number: 10.1016/j.jksus.2021.101345
  • Journal Name: Journal of King Saud University - Science
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, BIOSIS, zbMATH, Directory of Open Access Journals
  • Keywords: Atangana-Baleanu derivative, Convergence, Generalized regularized long wave equations, Optimal perturbation iteration method
  • Manisa Celal Bayar University Affiliated: No

Abstract

In this work, the newly developed optimal perturbation iteration technique with Laplace transform is applied to the generalized regularized long wave equations with a new fractional operator to obtain new approximate solutions. We transform the classical generalized regularized long wave equations to fractional differential form by using the Atangana-Baleanu fractional derivative which is defined with the Mittag-Leffler function. To show the efficiency of the proposed method, a numerical example is given for different values of physical parameters.