In this paper we use measure theory to solve some nonlinear Fredholm integral equations of the second kind...

This paper proposes a modified homotopy perturbation method to solve Fredholm and Volterra integral equations. Comparison of the obtained results with those obtained by the standard homotopy perturbation method shows that the proposed method is very...

In this paper, a novel method based on homotopy perturbation method (HPM) is presented for solving linear Fredholm fuzzy integral equations of the second kind...

]. In this article

we intend to make a quadrature method for solving the linear integral equations such as repeated trapezoid and repeated

Simpson quadrature by using repeated modified trapezoid formula and by doing so, we solve the linear integral...

The Bezier curves are presented to estimate the solution of the linear Fredholm integral equation of the second kind. A direct algorithm for solving this problem is given. We have chosen the Bezier curves as piecewise polynomials of degree n...

In this paper, we propose a new approach for a class of optimal control problems governed by Volterra inte-gral equations which is based on linear combination property of intervals. We convert the nonlinear terms in ...

In this paper, we use a technique for solving integral equations which

is based on He’s variational iteration method. In this approach, at first,

we turn the given integral equation to the integro-differential equation

and next...