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