A new and effective direct method to determine the numerical solution of specific nonlinear
Volterra-Fredholm integral and integro-differential equations is proposed. The method is …

An effective direct method to determine numerical solutions of specific nonlinear integral
equations is described. The method is based on vector forms for representation of triangular …

The aim of this article is to prove the existence of solution for nonlinear quadratic integral
equations using the generalized form of Darbo fixed point theorem with the help of measure …

In this paper, we use a numerical procedure for solving a class of nonlinear integral
equations of the Hammerstein-type, using the globally defined Sinc basis functions …

There are various numerical methods to solve nonlinear integral equations. Most of them
transform the integral equation into a system of nonlinear algebraic equations. It is …

In this paper, we introduce the Petrov-Galerkin method for solution of stochastic Volterra
integral equations. Here, we use continues Lagrange-type k-0 elements, since these …

This brief presents a technique for estimating the parameters of a system of integro-
differential equations with a time-delay component using some given samples. The …

In this article, we present an efficient method for solving nonlinear Fredholm integral
equations of the second kind. The proposed method is based on the Galerkin method and …

In this article, we consider a class of nonlinear functional integral equations which has rather
general form and contains a lot of particular cases such as functional equations and …

In this article, the existence of a solution for a nonlinear integral equation with deviating
argument that appears in nonlinear analysis and its applications is discussed. So, to do this …