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  • 标题:Existence of positive solutions for eigenvalue problem of nonlinear fractional differential equations
  • 本地全文:下载
  • 作者:Xiaoling Han ; Hongliang 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:2012
  • 卷号:2012
  • 期号:1
  • 页码:66
  • DOI:10.1186/1687-1847-2012-66
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this article, by using the fixed point theorem, existence of positive solutions for eigenvalue problem of nonlinear fractional differential equations D 0 + α u ( t ) + λ a ( t ) f ( t , u ( t ) ) = 0 , 0 < t < 1 , u ( 0 ) = u ( 1 ) = 0 is considered, where 1 < α < 2 is a real number, D 0 + α is the standard Riemann-Liouville derivate, λ is a positive parameter and a(t) ∈ C([0, 1], [0, ∞)), f(t, u) ∈ C([0, 1] × [0, ∞), [0, ∞)). MSC(2010): 34B18.
  • 关键词:fractional differential equation ; positive solution ; eigenvalue problem ; fixed point
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