The Adomian decomposition method for solving partial differential equations of fractal order in finite domains

The Adomian decomposition method has been successively used to find the explicit and numerical solutions of the time fractional partial differential equations. A different examples of special interest with fractional time and space derivatives of order α  , 0<α⩽10<α⩽1 are considered and solved by means of Adomian decomposition method. The behaviour of Adomian solutions and the effects of different values of α are shown graphically for some examples.