Analytical approximate solution for fractional heat-like and wave-like equations with variable coefficients using the decomposition method

Shaher Momani

doi:10.1016/j.amc.2004.06.025

$Analytical approximate solution for fractional heat-like and wave-like equations with variable coefficients using the decomposition method$

Journal article

Peer reviewed

Analytical approximate solution for fractional heat-like and wave-like equations with variable coefficients using the decomposition method

Shaher Momani

Applied mathematics and computation, Vol.165(2), pp.459-472

15/06/2005

DOI: https://doi.org/10.1016/j.amc.2004.06.025

Abstract

Decomposition method

Fractional calculus

Heat-like equation

Wave-like equation

The time fractional heat-like and wave-like equations with variable coefficients are obtained by replacing the first order and second order time derivative by a fractional derivative of order α, 0 < α ⩽ 2. The applications of the decomposition method were extended to derive analytical solutions in the form of a series with easily computed terms for these generalized fractional equation. Some examples are presented to show the efficiency and simplicity of the method.

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Title: Analytical approximate solution for fractional heat-like and wave-like equations with variable coefficients using the decomposition method
Creators - without role: Shaher Momani - United Arab Emirates University
Publication Details: Applied mathematics and computation, Vol.165(2), pp.459-472
Publisher: Elsevier Inc
Identifiers: 9936437708331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article