Elzaki Transform Homotopy Perturbation Method for Solving Two-dimensional Time-fractional Rosenau-Hyman Equation

Abstract

Two-dimensional fractional Rosenau-Hyman equation has significant applications in applied sciences and engineering. In this research paper, we investigated solutionsof two-dimensional time- fractional Rosenau- Hyman equation with the implementation of a powerful technique based on an integral transform known as Elzaki transform and Homotopy perturbation method (HPM). Convergence analysis has been discussed in this research. To illustrate the simplicity and accuracy of the presented analytical technique, few numerical experiments have been performed.