A new analytical approximate method for the solution of fractional differential equations

Authors:
Galip Oturanç;Aydin Kurnaz;Yildiray Keskin
Affiliations:
Department of Mathematics, University of Selcuk, Konya, Turkey;Department of Mathematics, University of Selcuk, Konya, Turkey;Department of Mathematics, University of Selcuk, Konya, Turkey
Venue:
International Journal of Computer Mathematics
Year:
2008

Citing 4
Cited 1

On the fractional differential equations

Applied Mathematics and Computation
Linear differential equations of fractional orders

Applied Mathematics and Computation
Different applications for the differential transformation in the differential equations

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Analytical approximate solutions for nonlinear fractional differential equations

Applied Mathematics and Computation

Analytical solution of the linear fractional system of commensurate order

Computers & Mathematics with Applications

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Abstract

A new analytical approximate method for the solution of fractional differential equations is presented. This method, which does not require any symbolic computation, is important as a tool for scientists and engineers because it provides an iterative procedure for obtaining the solution of both linear and non-linear fractional differential equations. The effectiveness of the proposed method is illustrated with some examples.