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  • 标题:Extremal solutions for singular fractional p -Laplacian differential equations with nonlinear boundary conditions
  • 本地全文:下载
  • 作者:Youzheng Ding ; Jian Yang ; Xiaoyan Zhang
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2016
  • 卷号:2016
  • 期号:1
  • 页码:201
  • DOI:10.1186/s13662-016-0926-z
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we establish the existence and uniqueness of extremal solutions for nonlinear boundary value problems of a singular fractional p-Laplacian differential equation involving Riemann-Liouville derivatives. Our results are obtained by constructing monotone iterative sequences of upper and lower solutions and applying the comparison result. At last, we present an example to illustrate the results. The compactness of sequences is proved in the Appendix.
  • 关键词:fractional differential equation ; p -Laplacian operator ; nonlinear boundary condition ; upper and lower solutions ; extremal solution
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