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Existence Results for Fractional Hahn Difference and Fractional Hahn Integral Boundary Value Problems

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  • Nichaphat Patanarapeelert
  • Thanin Sitthiwirattham

Abstract

The existence and uniqueness results of two fractional Hahn difference boundary value problems are studied. The first problem is a Riemann-Liouville fractional Hahn difference boundary value problem for fractional Hahn integrodifference equations. The second is a fractional Hahn integral boundary value problem for Caputo fractional Hahn difference equations. The Banach fixed-point theorem and the Schauder fixed-point theorem are used as tools to prove the existence and uniqueness of solution of the problems.

Suggested Citation

  • Nichaphat Patanarapeelert & Thanin Sitthiwirattham, 2017. "Existence Results for Fractional Hahn Difference and Fractional Hahn Integral Boundary Value Problems," Discrete Dynamics in Nature and Society, Hindawi, vol. 2017, pages 1-13, December.
    • Handle: RePEc:hin:jnddns:7895186
    DOI: 10.1155/2017/7895186
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