Multiple Solutions to Fractional Difference Boundary Value Problems

Huiqin Chen, Yaqiong Cui and Xianglan Zhao

Abstract and Applied Analysis, 2014, vol. 2014, 1-6

Abstract:

The following fractional difference boundary value problems , are considered, where is a real number and is the standard Riemann-Liouville fractional difference. Based on the Krasnosel’skiÇ theorem and the Schauder fixed point theorem, we establish some conditions on which are able to guarantee that this FBVP has at least two positive solutions and one solution, respectively. Our results significantly improve and generalize those in the literature. A number of examples are given to illustrate our main results.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:879380

DOI: 10.1155/2014/879380

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