期刊名称：Journal of Interpolation and Approximation in Scientific Computing
印刷版ISSN：2194-3907
电子版ISSN：2194-3907
出版年度：2015
卷号：2015
期号：2
页码：98-111
DOI：10.5899/2015/jiasc-00081
出版社：ISPACS GmbH
摘要：In this paper, an approximate analytical solution of linear fractional relaxation-oscillation equations in which the fractional derivatives are given in the Caputo sense, is obtained by the optimal homotopy asymptotic method (OHAM). The studied OHAM is based on minimizing the residual error. The results given by OHAM are compared with the exact solutions and the solutions obtained by generalized Taylor matrix method. The reliability and efficiency of the proposed approach are demonstrated in three examples with the aid of the symbolic algebra program Maple.
