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Zbl 1103.65335
Momani, Shaher
Analytic and approximate solutions of the space- and time-fractional telegraph equations. (English)
[J] Appl. Math. Comput. 170, No. 2, 1126-1134 (2005). ISSN 0096-3003

Summary: The Adomian decomposition method is used to obtain analytic and approximate solutions of the space-and time-fractional telegraph equations. The space- and time-fractional derivatives are considered in the Caputo sense. The analytic solutions are calculated in the form of series with easily computable terms. Some examples are given. The results reveal that the Adomian method is very effective and convenient.
MSC 2000:
*65M70 Spectral, collocation and related methods (IVP of PDE)

Keywords: Fractional differential equation; Decomposition method; Telegraph equation

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