Open AccessA new modified homotopy perturbation method for fractional partial differential equations with proportional delay
Author(s) -
Ahmad. A. H. Mtawal,
Sameehah. R. Alkaleeli
Publication year - 2020
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v19i.8876
Subject(s) - mathematics , homotopy analysis method , homotopy perturbation method , fractional calculus , perturbation (astronomy) , partial differential equation , homotopy , mathematical analysis , pure mathematics , physics , quantum mechanics
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.