Application of generalized differential transform method to multi-order fractional differential equations

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contributor.author Ertürk, Vedat Suak en_US
contributor.author Momani, Shaher en_US
contributor.author Odibat, Zaid en_US
date.accessioned 2009-12-28T08:52:12Z en_US
date.available 2009-12-28T08:52:12Z en_US
date.issued 2007-02-13 en_US
identifier.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), 1642–1654 en_US
identifier.uri http://dx.doi.org/10.1016/j.cnsns.2007.02.006 en_US
identifier.uri http://hdl.handle.net/10576/10524 en_US
description.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.iso en en_US
publisher Elsevier en_US
subject Caputo fractional derivative en_US
subject Differential transform method en_US
subject Fractional differential equations en_US
subject Multi-order equations en_US
title Application of generalized differential transform method to multi-order fractional differential equations en_US
type Article en_US


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