A New Approach for Solving Nonlinear Class Time-Fractional Partial Differential Equations

Abstract

This article introduces the fractional Residual Power Series Method and the Elzaki transform tool as a way to solve nonlinear time fractional partial differential equations (ERPSM). Two physical models are solved to show the approach utilized. The first model consists of the Rosenau-Hyman equation and the nonlinear time-fractional Burgers equation with the required initial data.