Multiple Positive Solutions of Nonlinear Boundary Value Problem for Finite Fractional Difference

Yansheng He, Mingzhe Sun and Chengmin Hou

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We consider a discrete fractional nonlinear boundary value problem in which nonlinear term f is involved with the fractional order difference. And we transform the fractional boundary value problem into boundary value problem of integer order difference equation. By using a generalization of Leggett‐Williams fixed‐point theorem due to Avery and Peterson, we provide sufficient conditions for the existence of at least three positive solutions.

Date: 2014
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https://doi.org/10.1155/2014/147975

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:147975

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