In this paper, we discuss the existence and uniqueness of solution of the singular quadratic
integral equation (SQIE). The Fredholm integral term is assumed in position with singular …

The purpose of this paper is to establish the general solution of a Volterra–Fredholm integral
equation with discontinuous kernel in a Banach space. Banach's fixed point theorem is used …

Purpose This study focuses on investigating the numerical solution of second-kind nonlinear
Volterra–Fredholm–Hammerstein integral equations (NVFHIEs) by discretization technique …

The nonlinear Volterra–Fredholm integral Equation (NVFIE) with a singular kernel is
discussed such that the kernel of position can take the Hilbert kernel form, Carleman …

The second kind of two-dimensional nonlinear integral equation (NIE) with symmetric and
nonsymmetrical kernel is solved in the Banach space L 2 [0, 1]× L 2 [0, 1]. Here, the NIE's …

In the present paper, we are concerning with a quadratic integral equation with phase–lag
term. In the following pages, sufficient conditions are given for the existence of positive …

This paper presents a numerical method for the solution of a Volterra–Fredholm integral
equation in a Banach space. Banachs fixed point theorem is used to prove the existence …

In this paper, we studied the existence and unique solution of the Volterra-Fredholm integral
equation of the second kind (V-FIESK). The general singular kernel is considered to be in …

In this study, the nonlinear integro-differential equation (NIDE) of the second kind is resolved
using the Adomian decomposition method (ADM). The term non-linearity can be dealt with …

This study presents the solution of the second type of a two-dimensional nonlinear integral
equation in Banach space. Also, the existence and uniqueness of this equation's solution …