Hyers-Ulam stability of a certain Fredholm integral equation

• Author(s): Simões, Alberto ; Selvan, Ponmana
• Date: 2022
• Persistent ID: http://hdl.handle.net/10773/33245
• Origin: RIA - Repositório Institucional da Universidade de Aveiro
• Subject(s): Hyers-Ulam stability; Hyers-Ulam-Rassias stability; Fredholm integral equation of second kind; Fixed point theorem
• Document Type: Journal article
• Language: English

Description

In this paper, by using Fixed point Theorem we establish the Hyers-Ulam stability and Hyers-Ulam-Rassias stability of certain homogeneous Fredholm Integral equation of a second kind and a non-homogeneous equation for all $x \in [0,1]$ and $0<\lambda<\frac{2}{5}$.