Positive Solutions for Three-Point Boundary Value Problem of Fractional Differential Equation with -Laplacian Operator

Shang-lin Yao, Guo-hui Wang, Zhi-ping Li and Li-jun Yu

Discrete Dynamics in Nature and Society, 2013, vol. 2013, 1-7

Abstract:

We investigate the existence of multiple positive solutions for three-point boundary value problem of fractional differential equation with -Laplacian operator , where are the standard Riemann-Liouville derivatives with , and the constant is a positive number satisfying ; -Laplacian operator is defined as . By applying monotone iterative technique, some sufficient conditions for the existence of multiple positive solutions are established; moreover iterative schemes for approximating these solutions are also obtained, which start off a known simple linear function. In the end, an example is worked out to illustrate our main results.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:376938

DOI: 10.1155/2013/376938

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