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Existence of Positive Solutions for Two-Point Boundary Value Problems of Nonlinear Finite Discrete Fractional Differential Equations and Its Application

Author

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  • Caixia Guo
  • Jianmin Guo
  • Ying Gao
  • Shugui Kang

Abstract

This paper is concerned with the two-point boundary value problems of nonlinear finite discrete fractional differential equations. On one hand, we discuss some new properties of the Green function. On the other hand, by using the main properties of Green function and the Krasnoselskii fixed point theorem on cones, some sufficient conditions for the existence of at least one or two positive solutions for the boundary value problem are established.

Suggested Citation

  • Caixia Guo & Jianmin Guo & Ying Gao & Shugui Kang, 2016. "Existence of Positive Solutions for Two-Point Boundary Value Problems of Nonlinear Finite Discrete Fractional Differential Equations and Its Application," Advances in Mathematical Physics, Hindawi, vol. 2016, pages 1-9, May.
    • Handle: RePEc:hin:jnlamp:7307614
    DOI: 10.1155/2016/7307614
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