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المؤلفErtürk, Vedat Suak
المؤلفMomani, Shaher
المؤلفOdibat, Zaid
تاريخ الإتاحة2009-12-28T08:52:12Z
تاريخ النشر2007-02-13
اسم المنشورCommunications in Nonlinear Science and Numerical Simulation
المعرّفhttp://dx.doi.org/10.1016/j.cnsns.2007.02.006
الاقتباسErturk, V. S., Momani, S., & Odibat, Z. (2008). Application of generalized differential transform method to multi-order fractional differential equations. Communications in Nonlinear Science and Numerical Simulation, 13(8), 1642–1654
معرّف المصادر الموحدhttp://hdl.handle.net/10576/10524
الملخصIn a recent paper [Odibat Z, Momani S, Erturk VS. Generalized differential transform method: application to differential equations of fractional order, Appl Math Comput. submitted for publication] the authors presented a new generalization of the differential transform method that would extended the application of the method to differential equations of fractional order. In this paper, an application of the new technique is applied to solve fractional differential equations of the form y(μ) (t) = f (t, y (t), y(β1) (t), y(β2) (t), ..., y(βn) (t)) with μ > βn > βn - 1 > ... > β1 > 0, combined with suitable initial conditions. The fractional derivatives are understood in the Caputo sense. The method provides the solution in the form of a rapidly convergent series. Numerical examples are used to illustrate the preciseness and effectiveness of the new generalization.
اللغةen
الناشرElsevier
الموضوعCaputo fractional derivative
الموضوعDifferential transform method
الموضوعFractional differential equations
الموضوعMulti-order equations
العنوانApplication of generalized differential transform method to multi-order fractional differential equations
النوعArticle


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