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Multiple Solutions to Fractional Difference Boundary Value Problems

Author

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  • Huiqin Chen
  • Yaqiong Cui
  • Xianglan Zhao

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.

Suggested Citation

  • Huiqin Chen & Yaqiong Cui & Xianglan Zhao, 2014. "Multiple Solutions to Fractional Difference Boundary Value Problems," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, April.
    • Handle: RePEc:hin:jnlaaa:879380
    DOI: 10.1155/2014/879380
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    Cited by:

    1. Jarunee Soontharanon & Saowaluck Chasreechai & Thanin Sitthiwirattham, 2019. "A Coupled System of Fractional Difference Equations with Nonlocal Fractional Sum Boundary Conditions on the Discrete Half-Line," Mathematics, MDPI, vol. 7(3), pages 1-22, March.

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