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

Shaher Momani

doi:10.1016/j.amc.2005.01.009

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

Shaher Momani

University of Mutah

Research output: Contribution to journal › Article › peer-review

184 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	1126-1134
Number of pages	9
Journal	Applied Mathematics and Computation
Volume	170
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2005.01.009
State	Published - 15 Nov 2005
Externally published	Yes

Keywords

Decomposition method
Fractional differential equation
Telegraph equation

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10.1016/j.amc.2005.01.009

Cite this

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title = "Analytic and approximate solutions of the space- and time-fractional telegraph equations",

abstract = "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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AB - 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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KW - Fractional differential equation

KW - Telegraph equation

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

Abstract

Keywords

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