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Zbl 1236.35003
El-Sayed, A.M.A.; Gaber, M.
The Adomian decomposition method for solving partial differential equations of fractal order in finite domains. (English)
[J] Phys. Lett., A 359, No. 3, 175-182 (2006). ISSN 0375-9601

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 2000:: *35A25 Other special methods (PDE)

Keywords: Adomian decomposition method; partial differential equations of fractional order

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Zentralblatt MATH Berlin [Germany]