Homotopy analysis method for fractional IVPs

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Author Hashim, I. en_US
Author Abdulaziz, O. en_US
Author Momani, S. en_US
Available date 2009-12-27T10:18:52Z en_US
Publication Date 2007-09-30 en_US
Citation Hashim, I., Abdulaziz, O., & Momani, S. (2009). Homotopy analysis method for fractional IVPs. Communications in Nonlinear Science and Numerical Simulation, 14(3), 674–684 en_US
URI http://dx.doi.org/10.1016/j.cnsns.2007.09.014 en_US
URI http://hdl.handle.net/10576/10494 en_US
Abstract In this paper, the homotopy analysis method is applied to solve linear and nonlinear fractional initial-value problems (fIVPs). The fractional derivatives are described by Caputo’s sense. Exact and/or approximate analytical solutions of the fIVPs are obtained. The results of applying this procedure to the studied cases show the high accuracy and efficiency of the approach. en_US
Language en en_US
Publisher Elsevier en_US
Subject Fractional IVPs en_US
Subject Homotopy analysis method en_US
Subject Caputo’s fractional derivative en_US
Title Homotopy analysis method for fractional IVPs en_US
Type Article en_US

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