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  • 标题:Existence of positive solutions for two-point boundary value problems of nonlinear fractional q -difference equation
  • 本地全文:下载
  • 作者:Caixia Guo ; Jianmin Guo ; Ying Gao
  • 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:180
  • DOI:10.1186/s13662-018-1578-y
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This paper is concerned with the two-point boundary value problems of a nonlinear fractional q-difference equation with dependence on the first order q-derivative. We discuss some new properties of the Green function by using q-difference calculus. Furthermore, by means of Schauder’s fixed point theorem and an extension of Krasnoselskii’s fixed point theorem in a cone, the existence of one positive solution and of at least one positive solution for the boundary value problem is established.
  • 关键词:Fractional q -difference calculus ; Two-point boundary value problem ; Fixed point theorem ; Positive solution
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