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  • 标题:Multiple positive solutions for nonlinear boundary value problem of fractional order differential equation with the Riemann-Liouville derivative
  • 本地全文:下载
  • 作者:Liu Yang ; Chunfang Shen ; Dapeng Xie
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2014
  • 卷号:2014
  • 期号:1
  • 页码:284
  • DOI:10.1186/1687-1847-2014-284
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, by means of the Avery-Peterson fixed point theorem, we establish the existence result of a multiple positive solution of the boundary value problem for a nonlinear differential equation with Riemann-Liouville fractional order derivative. An example illustrating our main result is given. Our results complement previous work in the area of boundary value problems of nonlinear fractional differential equations (Goodrich in Appl. Math. Lett. 23:1050-1055, 2010). MSC:26A33, 34B15.
  • 关键词:fractional differential equation ; positive solution ; fixed point ; cone
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