A new modified homotopy perturbation method for fractional partial differential equations with proportional delay

Ahmad. A. H. Mtawal; Sameehah. R. Alkaleeli

doi:10.24297/jam.v19i.8876

Authors

Ahmad. A. H. Mtawal Department of Mathematics, Faculty of Education Almarj, Benghazi University, Almarj, Libya
Sameehah R. Alkaleeli Department of Mathematics, Faculty of Arts and Science Almarj, Benghazi University, Almarj, Libya

DOI:

https://doi.org/10.24297/jam.v19i.8876

Keywords:

Homotopy perturbation method, Shehu transforms method, Selected: time-fractional partial differential equations, TFPDEs

Abstract

In this paper, we suggest and analyze a technique by combining the Shehu transform method and the homotopy perturbation method. This method is called the Shehu transform homotopy method (STHM). This method is used to solve the time-fractional partial differential equations (TFPDEs) with proportional delay. The fractional derivative is described in Caputo's sense. The solutions proposed in the series converge rapidly to the exact solution. Some examples are solved to show the STHM is easy to apply.

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