The solution of fractional wave equation by using modified trial equation method and homotopy analysis method

Abstract

In this study, we applied the Homotopy Analysis method to the nonlinear fractional wave equation. Then, we executed a comparison between analytical solution obtained by using Modified Trial Equation method and approximate solution obtained via Homotopy Analysis method. Finally, we investigated errors analysis by drawing 3D and 2D graphics of the solution of fractional wave equation for different value of alpha.