<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The aim of this paper is to prove the existence and stability of solutions of a system of quadratic integral equations in the Banach algebra of continuous and bounded functions on unbounded rectangle. The main tool used in our considerations is the multiple fixed point theorem which is a consequence of Darbo’s fixed point theorem and the technique associated with measures of noncompactness. We also present an illustrative example.</p></abstract>

The aim of this paper is to prove the existence and stability of solutions of a system of quadratic integral equations in the Banach algebra of continuous and bounded functions on unbounded rectangle. The main tool used in our considerations is the multiple fixed point theorem which is a consequence of Darbo’s fixed point theorem and the technique associated with measures of noncompactness. We also present an illustrative example.

Existence and stability of solutions for a system of quadratic integral equations in Banach algebras

Laboratory of Informatics and Mathematics

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

The aim of this paper is to prove the existence and stability of solutions of a system of quadratic integral equations in the Banach algebra of continuous and...

Existence and stability of solutions for a system of quadratic integral equations in Banach algebras

Published Online: Dec 31, 2020

Page range: 203 - 218

Received: Aug 18, 2020

Accepted: Nov 13, 2020

DOI: https://doi.org/10.2478/aupcsm-2020-0015

Keywords
quadratic integral equations of fractional order, fixed-point theorems, Banach algebra, measure of noncompactness, stability

© 2020 Said Baghdad, published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

Existence and stability of solutions for a system of quadratic integral equations in Banach algebras

Published Online: Dec 31, 2020

Page range: 203 - 218

Received: Aug 18, 2020

Accepted: Nov 13, 2020

DOI: https://doi.org/10.2478/aupcsm-2020-0015

Keywordsquadratic integral equations of fractional order, fixed-point theorems, Banach algebra, measure of noncompactness, stability

© 2020 Said Baghdad, published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

Keywords
quadratic integral equations of fractional order, fixed-point theorems, Banach algebra, measure of noncompactness, stability