Existence Results of a Nonlocal Fractional Symmetric Hahn Integrodifference Boundary Value Problem

Abstract

The existence of solutions of nonlocal fractional symmetric Hahn integrodifference boundary value problem is studied. We propose a problem of five fractional symmetric Hahn difference operators and three fractional symmetric Hahn integrals of different orders. We first convert our nonlinear problem into a fixed point problem by considering a linear variant of the problem. When the fixed point operator is available, Banach and Schauder’s fixed point theorems are used to prove the existence results of our problem. Some properties of $(q,\omega )$-integral are also presented in this paper as a tool for our calculations. Finally, an example is also constructed to illustrate the main results.