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  • 标题:An Efficient Series Solution for Nonlinear Multiterm Fractional Differential Equations
  • 本地全文:下载
  • 作者:Moh’d Khier Al-Srihin ; Mohammed Al-Refai
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2017
  • 卷号:2017
  • DOI:10.1155/2017/5234151
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we introduce an efficient series solution for a class of nonlinear multiterm fractional differential equations of Caputo type. The approach is a generalization to our recent work for single fractional differential equations. We extend the idea of the Taylor series expansion method to multiterm fractional differential equations, where we overcome the difficulty of computing iterated fractional derivatives, which are difficult to be computed in general. The terms of the series are obtained sequentially using a closed formula, where only integer derivatives have to be computed. Several examples are presented to illustrate the efficiency of the new approach and comparison with the Adomian decomposition method is performed.
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