In this paper we find the solution of linear as well as nonlinear
fractional partial differential equations using discrete Adomian
decomposition method. Here we develop the discrete Adomian decomposition
method to find the solution of fractional discrete diffusion equation,
nonlinear fractional discrete Schrodinger equation, fractional discrete
Ablowitz-Ladik equation and nonlinear fractional discrete Burger's equation.
The obtained solution is verified by comparison with exact solution when \alpha=1.