AIMS Mathematics (May 2020)

On nonlocal fractional symmetric Hanh integral boundary value problems for fractional symmetric Hahn integrodifference equation

  • Nichaphat Patanarapeelert,
  • Thanin Sitthiwiratthame

DOI
https://doi.org/10.3934/math.2020231
Journal volume & issue
Vol. 5, no. 4
pp. 3556 – 3572

Abstract

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In this paper, we propose a boundary value problems for fractional symmetric Hahn integrodifference equation. The problem contains two fractional symmetric Hahn difference operators and three fractional symmetric Hahn integral with different numbers of order. The existence and uniqueness result of problem is studied by using the Banach fixed point theorem. The existence of at least one solution is also studied, by using Schauder’s fixed point theorem.

Keywords