The present paper, a combination of Sumudu Adomian Decomposition approach (STADM)is apply to investigate the analytical solutions for some Fractional Differential Equations(FDEs). The STADM is a new technique using the starting causes. To evaluate the effectiveness and powerful of the suggested technique, several applications  for examples are provided to get analytical or numerical results of  Gas  Dynamics equation, Fornberg - Whitham equation and Klein- Gordon equation. The Caputo sense definition applies to fractional derivatives. In addition, the approaches that were proposed gave convergence series solutions that had components that were simple to determine, and they did so without making use of perturbation or linearization.