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

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

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dc.contributor.author Ertürk, V.S.
dc.contributor.author Momani, S.
dc.contributor.author Odibat, Z.
dc.date.accessioned 2009-12-28T08:52:12Z
dc.date.available 2009-12-28T08:52:12Z
dc.date.issued 2007-02-13
dc.identifier.citation Volume 13, Issue 8, October 2008, Pages 1642-1654 en_US
dc.identifier.uri http://dx.doi.org/10.1016/j.cnsns.2007.02.006
dc.identifier.uri http://hdl.handle.net/10576/10524
dc.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
dc.language.iso en en_US
dc.subject Caputo fractional derivative en_US
dc.subject Differential transform method en_US
dc.subject Fractional differential equations en_US
dc.subject Multi-order equations en_US
dc.title Application of generalized differential transform method to multi-order fractional differential equations en_US
dc.type Article en_US

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