International Journal of Nonlinear Analysis and Applications

An application of the Elzaki homotopy perturbation method for solving fractional Burger's equations

Document Type : Research Paper

Authors

Department of Mathematics, University of Thi-Qar, Nasiriyah, Iraq

Abstract

In this paper, the solution of time-fractional Burgers and linked Burger's equations is obtained by using an effective analytical methodology termed the  Elzaki homotopy perturbation method. Caputo sense is used to characterize the fractional derivatives. The recommended technique's answer is represented as a series that converges to the precise solution of the supplied issues. Furthermore, the outcomes of this strategy have revealed tight ties to the methods to the problems under investigation. The validity of the current strategy is demonstrated by illustrative instances.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 2
July 2022
Pages 21-30
  • Receive Date: 07 December 2021
  • Revise Date: 19 January 2022
  • Accept Date: 05 February 2022