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  • 标题:Positive solutions for a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters
  • 本地全文:下载
  • 作者:Ying Wang ; Lishan Liu ; Yonghong Wu
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2014
  • 卷号:2014
  • 期号:1
  • 页码:268
  • DOI:10.1186/1687-1847-2014-268
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we study the existence of a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters. By using the properties of the Green’s function and the Guo-Krasnosel’skii fixed point theorem, we obtain some existence results of positive solutions under some conditions concerning the nonlinear functions. The method of this paper is a unified method for establishing the existence of positive solutions for a large number of nonlinear differential equations with coupled boundary conditions. In the end, examples are given to demonstrate the validity of our main results. MSC:34B16, 34B18.
  • 关键词:positive solutions ; fractional differential system ; coupled integral boundary conditions ; singular
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