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Existence of Positive Solutions for a Kind of Fractional Boundary Value Problems

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  • Hongjie Liu
  • Xiao Fu
  • Liangping Qi

Abstract

We are concerned with the following nonlinear three-point fractional boundary value problem: , , , and , where , , , is the standard Riemann-Liouville fractional derivative, is continuous for , and is continuous on . By using Krasnoesel'skii's fixed-point theorem and the corresponding Green function, we obtain some results for the existence of positive solutions. At the end of this paper, we give an example to illustrate our main results.

Suggested Citation

  • Hongjie Liu & Xiao Fu & Liangping Qi, 2014. "Existence of Positive Solutions for a Kind of Fractional Boundary Value Problems," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-8, May.
    • Handle: RePEc:hin:jnlaaa:602604
    DOI: 10.1155/2014/602604
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