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AuthorErtürk, Vedat Suat
AuthorMomani, Shaher
Available date2010-01-07T07:05:54Z
Publication Date2007-04-16
Publication NameJournal of Computational and Applied Mathematics
Identifierhttp://dx.doi.org/10.1016/j.cam.2007.03.029
CitationErtürk, V. S., & Momani, S. (2008). Solving systems of fractional differential equations using differential transform method. Journal of Computational and Applied Mathematics, 215, 142–151
URIhttp://hdl.handle.net/10576/10615
AbstractThis 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
Languageen
PublisherElsevier B.V.
SubjectDifferential transform method
SubjectFractional differential equation
SubjectCaputo fractional derivative
SubjectNumerical solutions
TitleSolving systems of fractional differential equations using differential transform method
TypeArticle


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