Different Types of Hyers-Ulam-Rassias Stabilities for a Class of Integro-Differential Equations

Abstract

We analyse different kinds of stability for a class of integro-differential equations within appropriate metric spaces. Sufficient conditions are obtained in view to guarantee Hyers-Ulam stability and Hyers-Ulam-Rassias stability for such a class of integro-differential equations. We will be considering the different situations of having the integrals defined on finite and infinite intervals. Among the used techniques, we have fixed point arguments and generalizations of the Bielecki metric. Concrete examples will be also described in view to illustrate the obtained results.