In this paper we prove the existence and stability of solutions of a class of Hadamard-Volterra-Stieltjes integral equations in the Banach space of continuous and bounded functions on unbounded interval. That result is proved under rather general hypotheses. The main tools used in our considerations are the concept of measure of noncompactness in conjunction with the Darbo and Mönch …xed point theorems.

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.

The objective of this paper is to present results on the existence of solutions for a class of fractional integral equations in Frechet spaces of Banach space-valued functions on unbounded interval. Our mains tools is the technique of measures of noncompactness and fixed points theorems.

In this paper we provide sufficient condition guaranteeing existence and the asymptotic behavior of solutions of a class of Hadamard-Volterra integral equations in the Banach space of continuous and bounded functions on unbounded interval. The main tools used in our considerations are the concept of measure of noncompactness in conjunction with the Darbo and Mönch fixed point theorems.

This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/ 4.0/).