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  • 标题:Multiple positive solutions to singular fractional differential equations with integral boundary conditions involving p−q$p-q$ -order derivatives
  • 本地全文:下载
  • 作者:Han Wang ; Jiqiang Jiang
  • 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:1-13
  • DOI:10.1186/s13662-019-2454-0
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we investigate the existence for a class of higher-order fractional differential equations with integral boundary value conditions involving $p-q$-order derivatives. As an application of the height functions on some special bounded sets, we obtain the existence of two positive solutions by means of the Leray–Schauder nonlinear alternative and cone expansion and cone compression fixed point theory. The nonlinearity may take negative infinity, and there may appear a singular phenomenon on both time and space variables.
  • 关键词:Nonlocal fractional differential equations ; Integral conditions ; Semipositone ; Singularity on space variable ; Positive solutions ;
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