Applications of new integral transform for linear and nonlinear fractional partial differential equations

Abstract

This study aims to obtain the approximate resolution of the fractional partial differential equation through the help of unprecedented new integral transform (NIT) called Elzaki Decomposition Method (EDM), applied to the new integral transform for fractional partial differential equations (PDEs). The technique converges to the right solution, fractional partial differential equations. Some examples were illustrated to confirm the accuracy of the method. Keywords: Fractional partial differential equation, New integral transform method (NIT), Adomian decomposition method (ADM)