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

نویسندگان
Jassim, Hassan Kamil ID 1
Hassan, Nabeel Jawad ID 2
Salman, Ali Thamir ID 3

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

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

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

doi
10.22075/ijnaa.2022.6226
چکیده

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.

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