The paper presents an application of the homotopy analysis method for solving the
nonlinear and linear integral equations of the second kind. In this method a series is created …

For this work, the main idea is to make an adapted modification to the Newton-Kantorovich
method destined to solve a nonlinear integral equations, so that by this technical method we …

From the majorant principle of Kantorovich and the theoretical significance of Newton's
method, we obtain domains of existence and uniqueness of solution for nonlinear Fredholm …

Many different problems in mathematics, physics, engineering can be expressed in the form
of integral equations. Among these are diffraction problems, population growth, heat …

Mathematics | Free Full-Text | How to Obtain Global Convergence Domains via Newton’s
Method for Nonlinear Integral Equations Next Article in Journal Rules for Fractional-Dynamic …

In this paper, the behavior of derivative-free techniques to approximate solutions of
nonlinear Hammerstein-type integral equations in Banach space C ([α, β]) as alternatives …

Integral equations occur naturally in many field of mechanics and mathematical physics. In
this paper, an iterative scheme based on the homotopy analysis method (HAM) has been …

From decomposition method for operators, we consider a Newton‐Steffensen iterative
scheme for approximating a solution of nonlinear Fredholm integral equations with non …

I n this paper we indicate some applications of homotopy analysis method for solving the
systems of linear and nonlinear integral equations. The method is based on the concept of …

In this work, we give conditions that guarantee the existence and the uniqueness of the
solution of the Hammerstein integral equation in the Lp space and under such assumptions …