Hyers–Ulam–Rassias stability for a class of nonlinear convolution integral equations

Abstract

In this paper, we study the Hyers–Ulam stability, the Hyers–Ulam Rassias stability, and a new kind of stability, the σ–semi–Hyers–Ulam stability, for a class of nonlinear convolution integral equations. Using the fixed point method, sufficient conditions are derived to establish these stabilities for the given class of integral equations. The analysis considers both the finite interval and the infinite interval cases. For illustrative purposes, three examples are presented to validate the theoretical outcomes.