ARA-residual power series method for solving partial fractional differential equations

In this article a new approach in solving time fractional partial differential equations is introduced, that is, the ARA-residual power series method. The main idea of technique, depends on applying ARA-transform and using Taylor's expansion to construct approximate solutions. procedure getting solutions for nonlinear difficult mission, method over comes trouble throughout expressing solution form then obtain coefficients residual function concept limit at infinity. This efficient applicable solve wide family equations. Four attractive applications are considered show speed strength proposed constructing solitary target