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Homotopy analysis method for solving a class of fractional partial differential equations

โœ Scribed by A. Elsaid

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
866 KB
Volume
16
Category
Article
ISSN
1007-5704

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โœฆ Synopsis

In this paper, the homotopy analysis method is applied to obtain the solution of fractional partial differential equations with spatial and temporal fractional derivatives in Riesz and Caputo senses, respectively. Some properties of Riesz fractional derivative utilized in obtaining the series solution are proved. Numerical examples demonstrate the effect of changing homotopy auxiliary parameter h on the convergence of the approximate solution. Also, they illustrate the effect of the fractional derivative orders a and b on the solution behavior.

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