  The Adomian decomposition method is a semi-analytical method for solving
ordinary and partial nonlinear differential equations. The aim of this paper is
to apply Adomian decomposition method to obtain approximate solutions of
nonlinear fractional order partial differential equations with fractional
derivatives. The fractional derivatives are taken in the sense of Caputo. The
solutions of fractional PDEs are calculated in the form of convergent series.
Approximate solutions obtained through the decomposition method have been
numerically evaluated, and presented in the form of graphs and tables, and then
these solutions are compared with the exact solutions and the results rendering
the explicitness, effectiveness and good accuracy of the applied method.
Finally, it is observed that the applied method (i.e. Adomian decomposition
method) is prevailing and convergent method for the solutions of nonlinear
fractional-order partial deferential problems.
