Ulam Stabilities of Nonlinear Iterative Integro-Differential Equations

Abstract

In this paper, we deal with nonlinear iterative integro-functional differential equations (IIFDEs) of first order. We study the uniqueness of solutions and Ulam stabilities regarding that the IIFDEs. The new results in relation to the uniqueness of solutions and Ulam stabilities of the IIFDEs are achieved according to the Banach's fixed point theorem. The consequences of this paper have scientific novelties and provide new contributions to the subjects of the uniqueness of solutions and the Ulam stabilities of IIFDEs.