A generalized differential transform method for linear partial differential equations of fractional order

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A generalized differential transform method for linear partial differential equations of fractional order

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dc.contributor.author Odibat, Z.
dc.contributor.author Momani, S.
dc.date.accessioned 2010-01-07T07:48:23Z
dc.date.available 2010-01-07T07:48:23Z
dc.date.issued 2007-02-08
dc.identifier.citation Volume 21, Issue 2, February 2008, Pages 194-199 en_US
dc.identifier.uri http://dx.doi.org/10.1016/j.aml.2007.02.022
dc.identifier.uri http://hdl.handle.net/10576/10623
dc.description.abstract In this letter we develop a new generalization of the two-dimensional differential transform method that will extend the application of the method to linear partial differential equations with space- and time-fractional derivatives. The new generalization is based on the two-dimensional differential transform method, generalized Taylor’s formula and Caputo fractional derivative. Several illustrative examples are given to demonstrate the effectiveness of the present method. The results reveal that the technique introduced here is very effective and convenient for solving linear partial differential equations of fractional order. en_US
dc.language.iso en en_US
dc.subject Differential transform method en_US
dc.subject Generalized Taylor formula en_US
dc.subject Caputo fractional derivative en_US
dc.subject Fractional differential equations en_US
dc.title A generalized differential transform method for linear partial differential equations of fractional order en_US

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