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Author Ertürk, Vedat Suaken_US
Author Momani, Shaheren_US
Author Odibat, Zaiden_US
Available date 2009-12-28T08:52:12Zen_US
Publication Date 2007-02-13en_US
Publication Name Communications in Nonlinear Science and Numerical Simulation
Citation Erturk, 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), 1642–1654en_US
URI http://dx.doi.org/10.1016/j.cnsns.2007.02.006en_US
URI http://hdl.handle.net/10576/10524en_US
Abstract In 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.en_US
Language enen_US
Publisher Elsevieren_US
Subject Caputo fractional derivativeen_US
Subject Differential transform methoden_US
Subject Fractional differential equationsen_US
Subject Multi-order equationsen_US
Title Application of generalized differential transform method to multi-order fractional differential equationsen_US
Type Articleen_US


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