Solution of Nonlinear Fractional Differential Equation (NFDE) by Four Different Approximate Methods

Abstract

In this paper, a nonlinear fractional differential equation is solved through four different approximate methods- Homotopy Analysis Method (HAM),He's Variational Itaration Method (VIM),Adomian Decomposition Method (ADM) and Power Series Method (PSM).The solution obtained by HAM has been compared with those obtained by VIM,ADM and PSM and the corresponding graphical representations have been given. Error between the solution obtained by HAM and those obtained by VIM,ADM and PSM have been presented in tables and graphs.