Hyers-Ulam stability of coupled implicit fractional integro-differential equations with Riemann-Liouville derivatives

In this article, we investigate the existence, uniqueness, and stability of coupled implicit fractional integro-differential equations with Riemann-Liouville derivatives. We analyze the existence and uniqueness of the projected model with the help of Banach contraction principle, Schauder's fixed point theorem, and Krasnoselskii's fixed point theorem. Moreover, we present different types of stability using the classical technique of functional analysis. To illustrate our theoretical results, at the end we give an example. (c) 2021 Elsevier Ltd. All rights reserved.