Hyers-Ulam-Rassias stability of impulsive Fredholm integral equations on finite intervals

Abstract

The main aim of this paper is to establish the Hyers--Ulam--Rassias and Hyers--Ulam stability of certain homogeneous and non-homogeneous impulsive Fredholm integral equations by using a fixed point method. Both Hyers–-Ulam-–Rassias stability and Hyers-–Ulam stability are obtained for such a class of Fredholm integral equations when considered on a finite interval. Finally four examples are presented to support the usability of our results.