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文章基本信息

  • 标题:Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernel
  • 本地全文:下载
  • 作者:JF Gómez-Aguilar ; H Yépez-Martínez ; J Torres-Jiménez
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2017
  • 卷号:2017
  • 期号:1
  • 页码:68
  • DOI:10.1186/s13662-017-1120-7
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This work presents the homotopy perturbation transform method for nonlinear fractional partial differential equations of the Caputo-Fabrizio fractional operator. Perturbative expansion polynomials are considered to obtain an infinite series solution. The effectiveness of this method is demonstrated by finding the exact solutions of the fractional equations proposed, for the special case when the limit of the integral order of the time derivative is considered.
  • 关键词:fractional calculus ; nonlinear fractional differential equations ; Caputo-Fabrizio fractional operator ; homotopy perturbation transform method ; approximate solution
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