Uniqueness and stability of solutions for a coupled system of nabla fractional difference boundary value problems

Abstract

In this article, we obtain sufficient conditions on existence, uniqueness and Ulam–Hyers stability of solutions for a coupled system of two-point nabla fractional difference boundary value problems, using Banach, Brouwer fixed point theorems and Urs’s approach. Further, we illustrate the applicability of established results through an example.