Homotopy analysis method for fractional IVPs

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Homotopy analysis method for fractional IVPs

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Title: Homotopy analysis method for fractional IVPs
Author: Hashim, I.; Abdulaziz, O.; Momani, S.
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.
URI: http://dx.doi.org/10.1016/j.cnsns.2007.09.014
http://hdl.handle.net/10576/10494
Date: 2007-09-30

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