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

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Author Odibat, Zaid en_US
Author Momani, Shaher en_US
Available date 2010-01-07T07:48:23Z en_US
Publication Date 2007-02-08 en_US
Citation Odibat, Z., & Momani, S. (2008). A generalized differential transform method for linear partial differential equations of fractional order. Applied Mathematics Letters, 21, 194–199 en_US
URI http://dx.doi.org/10.1016/j.aml.2007.02.022 en_US
URI http://hdl.handle.net/10576/10623 en_US
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
Language en en_US
Publisher Elsevier B.V. en_US
Subject Differential transform method en_US
Subject Generalized Taylor formula en_US
Subject Caputo fractional derivative en_US
Subject Fractional differential equations en_US
Title A generalized differential transform method for linear partial differential equations of fractional order en_US
Type Article en


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