Existence of Three Positive Solutions for a Class of Boundary Value Problems of Caputo Fractional -Difference Equation

Huiqin Chen, Shugui Kang, Lili Kong and Ying Gao

Discrete Dynamics in Nature and Society, 2018, vol. 2018, 1-9

Abstract:

A class of boundary value problems of Caputo fractional -difference equation is introduced. Green’s function and its properties for this problem are deduced. By applying these properties and the Leggett-Williams fixed-point theorem, existence criteria of three positive solutions are obtained. At last, some examples are given to illustrate the validity of our main results.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:2475284

DOI: 10.1155/2018/2475284

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