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

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  • Yansheng He
  • Mingzhe Sun
  • Chengmin Hou

Abstract

We consider a discrete fractional nonlinear boundary value problem in which nonlinear term 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.

Suggested Citation

  • Yansheng He & Mingzhe Sun & Chengmin Hou, 2014. "Multiple Positive Solutions of Nonlinear Boundary Value Problem for Finite Fractional Difference," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-12, November.
    • Handle: RePEc:hin:jnlaaa:147975
    DOI: 10.1155/2014/147975
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