In this work, we examine the solvability of non-linear 2D Volterra integral equations through
Petryshyn fixed point theorem in Banach space C ([0, c]×[0, d]). Our work covers many …

In this paper, the existence of the solution of a class of nonlinear stochastic functional
integral equations is investigated. Such that the concept of measures of noncompactness …

In this article, we consider a class of nonlinear functional integral equations, motivated by an
equation that offers increasing evidence to the extant literature through replication studies …

This article considers the nonlinear functional Volterra integral equation, the Urysohn type
class of nonlinear integral equations. In an approach based on the Picard iterative method …

Using Petryshyn's fixed point theorem associated with the measure of noncompactness, we
discuss the existence result for functional integral equations in Banach algebra, which …

By utilizing the technique of Petryshyn's fixed point theorem in Banach algebra, we examine
the existence of solutions for fractional integral equations, which include as special cases of …

In this research, we analyze the existence of solution for some nonlinear functional integral
equations using the techniques of measures of noncompactness and the Petryshyn's fixed …

Using the method of Petryshyn's fixed point theorem in Banach algebra, we investigate the
existence of solutions for functional integral equations, which involves as specific cases …

This paper provides sufficient conditions for the existence of a solution for some classes of
integro-differential equations in unbounded domains. The investigation successfully applies …

We examine the solvability of fractional integral equations using the techniques of measure
of noncompactness and the Petryshyn's fixed-point theorem in Banach space concerning …