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Analytic and approximate solutions of the space- and time-fractional telegraph equations
Journal article   Peer reviewed

Analytic and approximate solutions of the space- and time-fractional telegraph equations

Shaher Momani
Applied mathematics and computation, Vol.170(2), pp.1126-1134
15/11/2005
DOI: https://doi.org/10.1016/j.amc.2005.01.009

Abstract

Decomposition method Fractional differential equation Telegraph equation
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.

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