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文章基本信息

  • 标题:Existence and uniqueness results for a coupled fractional order systems with the multi-strip and multi-point mixed boundary conditions
  • 本地全文:下载
  • 作者:Mengyan Cui ; Yuke Zhu ; Huihui Pang
  • 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:224
  • DOI:10.1186/s13662-017-1287-y
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This paper is concerned with the existence and uniqueness of solutions for a coupled system of fractional differential equations supplemented with the multi-strip and multi-point mixed boundary conditions. The existence of solutions is derived by applying Leray-Schauder’s alternative, while the uniqueness of the solution is established via Banach’s contraction principle. We also show the existence and uniqueness results of a positive solution by applying the Krasnoselskii fixed point theorem.
  • 关键词:fractional differential systems ; Leray-Schauder’s alternative ; fixed point theorems ; multi-strip and multi-point mixed boundary conditions
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