Application of homotopy-perturbation method to fractional IVPs

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contributor.author Abdulaziz, O. en_US
contributor.author Hashim, I. en_US
contributor.author Momani, S. en_US
date.accessioned 2009-12-29T06:57:49Z en_US
date.available 2009-12-29T06:57:49Z en_US
date.issued 2008 en_US
identifier.citation Abdulaziz, O., Hashim, I., & Momani, S. (2008). Application of homotopy-perturbation method to fractional IVPs. Journal of Computational and Applied Mathematics, 216(2), 574–584 en_US
identifier.uri http://dx.doi.org/10.1016/j.cam.2007.06.010 en_US
identifier.uri http://hdl.handle.net/10576/10553 en_US
description.abstract Fractional initial-value problems (fIVPs) arise from many fields of physics and play a very important role in various branches of science and engineering. Finding accurate and efficient methods for solving fIVPs has become an active research undertaking. In this paper, both linear and nonlinear fIVPs are considered. Exact and/or approximate analytical solutions of the fIVPs are obtained by the analytic homotopy-perturbation method (HPM). The results of applying this procedure to the studied cases show the high accuracy, simplicity and efficiency of the approach. en_US
language.iso en en_US
publisher Elsevier en_US
subject Caputo's fractional derivative en_US
subject Fractional IVPs en_US
subject Homotopy-perturbation method en_US
title Application of homotopy-perturbation method to fractional IVPs en_US
type Article en_US


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