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المؤلفErtürk, Vedat Suat
المؤلفMomani, Shaher
تاريخ الإتاحة2010-01-07T07:05:54Z
تاريخ النشر2007-04-16
اسم المنشورJournal of Computational and Applied Mathematics
المعرّفhttp://dx.doi.org/10.1016/j.cam.2007.03.029
الاقتباسErtürk, V. S., & Momani, S. (2008). Solving systems of fractional differential equations using differential transform method. Journal of Computational and Applied Mathematics, 215, 142–151
معرّف المصادر الموحدhttp://hdl.handle.net/10576/10615
الملخصThis 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
اللغةen
الناشرElsevier B.V.
الموضوعDifferential transform method
Fractional differential equation
Caputo fractional derivative
Numerical solutions
العنوانSolving systems of fractional differential equations using differential transform method
النوعArticle


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