New approximate solutions to time fractional order partial differential equations optimal auxilary function method

In this article, approximate solutions of some PDE fractional order are investi?gated with the help a new semi-analytical method called optimal auxiliary function method. The proposed was tested upon time-fractional Fisher equation, Fornberg-Whitham and Inviscid Burger equation. beauty is that there no need for discretization assumptions small or large parameters provides an ap?proximate solution after only one iteration. numerical results obtained by compared other existing methods used in literature. From graphical results, it clear gives better than methods. MATHEMATICA software pack?age has been huge computational work.