Solving systems of fractional differential equations using differential transform method

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Solving systems of fractional differential equations using differential transform method

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dc.contributor.author Ertürk, V.S.
dc.contributor.author Momani, S.
dc.date.accessioned 2010-01-07T07:05:54Z
dc.date.available 2010-01-07T07:05:54Z
dc.date.issued 2007-04-16
dc.identifier.citation Volume 215, Issue 1, 15 May 2008, Pages 142-151 en_US
dc.identifier.uri http://dx.doi.org/10.1016/j.cam.2007.03.029
dc.identifier.uri http://hdl.handle.net/10576/10615
dc.description.abstract This paper presents approximate analytical solutions for systems of fractional differential equations using the differential transform method. The fractional derivatives are described in the Caputo sense. The application of differential transform method, developed for differential equations of integer order, is extended to derive approximate analytical solutions of systems of fractional differential equations. The solutions of our model equations are calculated in the form of convergent series with easily computable components. Some examples are solved as illustrations, using symbolic computation. The numerical results show that the approach is easy to implement and accurate when applied to systems of fractional differential equations. The method introduces a promising tool for solving many linear and nonlinear fractional differential equations en_US
dc.language.iso en en_US
dc.subject Differential transform method en_US
dc.subject Fractional differential equation en_US
dc.subject Caputo fractional derivative en_US
dc.subject Numerical solutions en_US
dc.title Solving systems of fractional differential equations using differential transform method en_US
dc.type Article en_US

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