On nonlocal Robin boundary value problems for Riemann–Liouville fractional Hahn integrodifference equation

Abstract

Abstract In this paper, we study a nonlocal Robin boundary value problem for fractional Hahn integrodifference equation. Our problem contains three fractional Hahn difference operators and a fractional Hahn integral with different numbers of q,ω $q, \omega$ and order. The existence and uniqueness result is proved by using the Banach fixed point theorem. In addition, the existence of at least one solution is obtained by using Schauder’s fixed point theorem.

Keywords

• Fractional Hahn integral
• Riemann–Liouville fractional Hahn difference
• Boundary value problems
• Existence