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

Hongjie Liu, Xiao Fu and Liangping Qi

Abstract and Applied Analysis, 2014, vol. 2014, 1-8

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:602604

DOI: 10.1155/2014/602604

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