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Author Odibat, Zaiden_US
Author Momani, Shaheren_US
Available date 2010-01-07T07:48:23Zen_US
Publication Date 2007-02-08en_US
Publication Name Applied Mathematics Letters
Citation Odibat, Z., & Momani, S. (2008). A generalized differential transform method for linear partial differential equations of fractional order. Applied Mathematics Letters, 21, 194–199en_US
URI http://dx.doi.org/10.1016/j.aml.2007.02.022en_US
URI http://hdl.handle.net/10576/10623en_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 enen_US
Publisher Elsevier B.V.en_US
Subject Differential transform methoden_US
Subject Generalized Taylor formulaen_US
Subject Caputo fractional derivativeen_US
Subject Fractional differential equationsen_US
Title A generalized differential transform method for linear partial differential equations of fractional orderen_US
Type Articleen


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