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The Adomian decomposition method for solving partial differential equations of fractal order in finite domains. (English) Zbl 1236.35003
Summary: 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 $$\alpha$$, $$0<\alpha \leqslant 1$$ are considered and solved by means of Adomian decomposition method. The behaviour of Adomian solutions and the effects of different values of $$\alpha$$ are shown graphically for some examples.

##### MSC:
 35A25 Other special methods applied to PDEs
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##### References:
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