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  • 标题:Explicit monotone iterative sequences for positive solutions of a fractional differential system with coupled integral boundary conditions on a half-line
  • 本地全文:下载
  • 作者:Haiyan Zhang ; Yongqing Wang ; Jiafa Xu
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2020
  • 卷号:2020
  • 期号:1
  • 页码:1-20
  • DOI:10.1186/s13662-020-02860-1
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper we consider a fractional differential system with coupled integral boundary value problems on a half-line, where the nonlinearity terms depend on unknown functions and the lower-order fractional derivative of unknown functions, and the fractional infinite boundary value conditions depend on the coupled infinite integral of unknown functions. By virtue of the monotone iterative technique, we find two explicit monotone iterative sequences which converge to the positive minimal and maximal solutions when the nonlinearities can satisfy certain nonlinear growth conditions.
  • 关键词:Monotone iterative technique;Iterative sequences;Fractional differential system;Integral boundary value problems;Half-line;
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