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  • 标题:Existence results for m-point boundary value problems of nonlinear fractional differential equations with p -Laplacian operator
  • 本地全文:下载
  • 作者:Zhi-Wei Lv
  • 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:69
  • DOI:10.1186/1687-1847-2014-69
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we discuss the existence and multiplicity of positive solutions to m-point boundary value problems of nonlinear fractional differential equations with p-Laplacian operator { D 0 + β ( φ p ( D 0 + α u ( t ) ) ) + φ p ( λ ) f ( t , u ( t ) ) = 0 , 0 1 , φ p − 1 = φ q , 1 p + 1 q = 1 . Our results are based on the monotone iterative technique and the theory of the fixed point index in a cone. Furthermore, two examples are also given to illustrate the results.
  • 关键词:fractional differential equation ; m-point boundary value problems ; p -Laplacian operator
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