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文章基本信息

  • 标题:Positive solutions for a singular fractional nonlocal boundary value problem
  • 作者:Luyao Zhang ; Zhongmin Sun ; Xinan Hao
  • 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:381
  • DOI:10.1186/s13662-018-1844-z
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We investigate a singular fractional differential equation with an infinite-point fractional boundary condition, where the nonlinearity f ( t , x ) $f(t,x)$ may be singular at x = 0 $x = 0$ , and g ( t ) $g(t)$ may also have singularities at t = 0 $t= 0$ or t = 1 $t=1$ . We establish the existence of positive solutions using the fixed point index theory in cones.
  • 关键词:Positive solution ; Singular ; Infinite-point fractional boundary condition ; Fixed point index
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