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  • 标题:Laplace homotopy analysis method for solving linear partial differential equations using a fractional derivative with and without kernel singular
  • 本地全文:下载
  • 作者:Victor Fabian Morales-Delgado ; José Francisco Gómez-Aguilar ; Huitzilin Yépez-Martínez
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2016
  • 卷号:2016
  • 期号:1
  • 页码:164
  • DOI:10.1186/s13662-016-0891-6
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this work, we present an analysis based on a combination of the Laplace transform and homotopy methods in order to provide a new analytical approximated solutions of the fractional partial differential equations (FPDEs) in the Liouville-Caputo and Caputo-Fabrizio sense. So, a general scheme to find the approximated solutions of the FPDE is formulated. The effectiveness of this method is demonstrated by comparing exact solutions of the fractional equations proposed with the solutions here obtained.
  • 关键词:fractional calculus ; fractional differential equations ; Caputo fractional operator ; Caputo-Fabrizio fractional operator ; homotopy analysis method ; approximate solution
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