On the Ulam Stabilities of Nonlinear Integral Equations and Integro-Differential Equations

Abstract

In this research, two systems of nonlinear Volterra integral equation and Volterra integro-differential equation were considered. New results in sense of Ulam stabilities in relation to these two systems were proved on a finite interval. The proof of the results on the Ulam stabilities of that classes of the equations are based on the nonlinear alternative related to Banach's contraction principle. The outcomes of this research give new contribution to the theory of Ulam stabilities. © 2024 John Wiley & Sons, Ltd.