A COMPARATIVE STUDY OF SEMI-ANALYTICAL METHODS FOR SOLVING FRACTIONAL-ORDER CAUCHY REACTION–DIFFUSION EQUATION

Abstract

In this paper, the Homotopy perturbation transform method and New Iterative transform method are implemented to evaluate the time-fractional Cauchy reaction–diffusion equation’s solution. In this method, Elzaki transform is combined with the Homotopy perturbation method and New Iteration method. Four problems are investigated to show, demonstrate and validate the efficacy of the current technique. The analytical results achieved by the current technique indicate that the approach is easy to implement and accurate. These solutions reveal that the suggested method is very useful and straightforward to perform the problems of engineering sciences.