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 …

The purpose of this article is to introduce a new tempered sequence space and obtain the
measure of noncompactness in this space. Using the measure of noncompactness and …

In this article, we establish the existence of solution for two dimensional nonlinear fractional
integral equation using fixed point theorem and measure of noncompactness. Applicability …

In the current article we obtain the extension of Darbo's fixed point theorem (DFPT), and
apply this theorem to prove the existence of solution of an infinite system of implicit fractional …

In this article, we prove the existence of solution for some non-linear functional integral
equations of two variables in Banach algebra C ([0, b][0, c], R), b, c> 0, which is the …

In this article, we establish the existence of solution for some functional integral equations by
Petryshyn's fixed point theorem in Banach algebra. Our existence results cover several …

The aim of this article is to establish the existence of the solution of non-linear functional
integral equations x (l, h)= U (l, h, x (l, h))+ F l, h,∫ 0 l∫ 0 h P (l, h, r, u, x (r, u)) drdu, x (l, h)× …

In our discussion, existence of solution for fractional integral equation (FIE) involving (k, z)-
Riemann–Liouville fractional integral is studied. To achieve this goal, first using shifting …

We study the solvability of integral equations using Darbo's fixed point theorem in Banach
algebra. We prove the existence of the solution for nonlinear functional integral equations …

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 …