Ulam–Hyers–Mittag–Leffler stability of fractional difference equations with delay

Abstract

In this paper, we discussed the stability analysis of a class of Caputo nabla fractional-order delay difference equation. We used Chebyshev norm to obtain Ulam–Hyers–Mittag–Leffler stability. An example is provided to illustrate the theoretical result. Furthermore, Ulam–Hyers–Rassias–Mittag–Leffler stability of the problem is also discussed.