Year: 2025
Type: article
Abstract: In this paper, we study the Hyers-Ulam stability, the Hyers-Ulam-Rassias stability, and a new kind of stability, the ?-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.
Source: Filomat
DOI: 10.2298/fil2512207i
Authors: Natasha Irshad, Rahim Shah, Kinza Liaquat
Institution: Kohsar University Murree
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7077080128