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  • 标题:Existence of positive solutions for a high order fractional differential equation integral boundary value problem with changing sign nonlinearity
  • 本地全文:下载
  • 作者:Jiankun He ; Mei Jia ; Xiping Liu
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2018
  • 卷号:2018
  • 期号:1
  • 页码:49
  • DOI:10.1186/s13662-018-1465-6
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we investigate the existence of positive solutions for a class of high order fractional differential equation integral boundary value problems with changing sign nonlinearity. By applying cone expansion and cone compression fixed point theorem, we have obtained and proved theorems related to the existence of positive solutions, which highlight the influences of the parameters in different ranges on the existence of positive solutions. Finally, we also give some examples to illustrate our main results.
  • 关键词:high order Riemann-Liouville fractional derivative ; changing sign nonlinearity ; Riemann-Stieltjes integral boundary value problems ; fixed point theorem
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