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  • 标题:A class of nonlocal problems of fractional differential equations with composition of derivative and parameters
  • 本地全文:下载
  • 作者:Mei Jia ; Lin Li ; 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:2019
  • 卷号:2019
  • 期号:1
  • 页码:1-26
  • DOI:10.1186/s13662-019-2181-6
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we study existence and nonexistence of positive solutions for a class of Riemann–Stieltjes integral boundary value problems of fractional differential equations with parameters. By using the fixed point index theory, some new sufficient conditions for the existence of at least one, two and the nonexistence of positive solutions are obtained. The results we obtain show the influence of parameter λ and parameter a on the existence of positive solutions. Finally, some examples are given to illustrate our main results.
  • 关键词:34A08;34B09;34B18;Riemann;Liouville fractional derivative;Riemann;Stieltjes integral boundary conditions;Disturbance parameter;Fixed point theorem
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