A Modification Fractional Homotopy Analysis Method for Solving Partial Differential Equations Arising in Mathematical Physics
Hassan Kamil Jassim, Mayada Gassab Mohammed, Hossein Ali Eaued
Abstract
Abstract In this paper, we apply a new technique, namely fractional Sumudu homotopy analysis method (FSHAM) on fractional partial differential equations to obtain the analytical approximate solutions. The fractional derivative is described in the Caputo sense. This method is the combination of the Sumudu transform (ST) and homotopy analysis method (HAM). The method in general is easy to implement and yields good results. Illustrative examples are included to demonstrate the validity and applicability of the new technique.
Topics & Concepts
Homotopy analysis methodMathematicsFractional calculusHomotopyHomotopy perturbation methodPartial differential equationApplied mathematicsDerivative (finance)Partial derivativeMathematical analysisCalculus (dental)Pure mathematicsMedicineEconomicsFinancial economicsDentistryFractional Differential Equations SolutionsIterative Methods for Nonlinear EquationsNonlinear Differential Equations Analysis