Document Type : Research Paper

Authors

• Ali Thamir Salman
• Hassan Kamil Jassim
• Nabeel Jawad Hassan

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

• Elzaki homotopy perturbation method
• time-fractional Burger's equations
• Caputo fractional derivative