A new modified homotopy perturbation method for fractional partial differential equations with proportional delay
Keywords:Homotopy perturbation method, Shehu transforms method, Selected: time-fractional partial differential equations, TFPDEs
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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Copyright (c) 2020 Ahmad. A. H. Mtawal , Sameehah R. Alkaleeli
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