The existence of positive solutions for multi-point boundary value problems of fractional differential equations

【Author】

Weihua Jiang College of Sciences,Hebei University of Science and Technology Shijiazhuang,050018,Hebei,China Bin Wang Department of Basic Courses,Hebei Professional and Technological College of Chemical and Pharmaceutical Engineering,Shijiazhuang,050026,Hebei,China Zhenji Wang Department of Basic Courses,Hebei Professional and Technological College of Chemical and Pharmaceutical Engineering,Shijiazhuang,050026,Hebei,China

【Abstract】

By using the fixed point index theory and Krein-Rutman theorem,the existence of posi-tive solutions for multi-point boundary value prob-lems of fractional differential equations is obtained. Our result extends some of the existent results.An example is given to illustrate our results.

【Keywords】

fixed point index theory;boundary value problem;fractional integral;fractional derivative

References

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Springer Journals Database

Total: 8 articles

  • [1] C.Li;X.Luo;Y.Zhou, Existence of positions of the boundary value problem for nonlinear fractional differ- ential equations, Comput.Math.Appl, Computers and Mathematics With Applications (Computers and Mathematics With Applications)
  • [2] W.Zhong;W.Lin, Nonlocal and multiple-point bound- ary value problem for fractional differential equations, Comput.Math.Appl, Computers and Mathematics With Applications (Computers and Mathematics With Applications)
  • [3] SALEM H A H, On the Fractionalm-Point Boundary Value Problemin Reflexive Banach Space and the Weak Topolo-gies, J.Comput.Appl.Math, Journal of Computational and Applied Mathematics (Journal of Computational and Applied Mathematics)
  • [4] BAI Z, On Positive Solutions of a Nonlocal Fractional Boundary Value Problem, Nonlinear Anal, Nonlinear Analysis (Nonlinear Analysis)

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