Existence of solutions and Hyers-Ulam stability for <i>κ</i>-fractional iterative differential equations

Abstract The aim of this paper is to establish the existence and uniqueness of solutions to the κ -fractional iterative differential equations ( κ -FIDEs) using Schauder’s fixed point theorem. We also present the continuous dependence of the solution on the input data and a Hyers-Ulam stability analysis for this problem. Finally, some examples are provided to illustrate our main results.