‎‎In this paper, Solvability nonlinear Volterra integral equations with general vanishing delays is stated. So far sinc methods for approximating the solutions of Volterra integral equations have received considerable attention mainly due to their high accuracy. These approximations converge rapidly to the exact solutions as number sinc points increases. Here the numerical solution of nonlinear...

degenerate kernel approximation method is generalized to solve hammerstein system of fredholm integral equations of the second kind. this method approximates the system of integral equations by constructing degenerate kernel approximations and then the problem is reduced to the solution of a system of algebraic equations. convergence analysis is investigated and on some test problems, the propo...

In this paper, numerical solution of linear Fredholm integral equations of the second kind is considered by two methods. The methods are developed by means of the Sinc-collocation method and shifted Chebyshev polynomial method. Some numerical examples are presented to illustrate the method. Numerical solution of linear Fredholm integral equations. 1. Introduction Many initial and boundary value...

In this paper we use the fuzzy Caputo derivatives under generalized Hukuhara difference to introduce fuzzy fractional Volterra-Fredholm integro-differential equations and prove the existence and uniqueness of the solutions for this class of fractional equations.

This work, Bernoulli wavelet method is formed to solve nonlinear fuzzy Volterra-Fredholm integral equations. wavelets have been created by dilation and translation of polynomials. First we introduce properties polynomials, then used it transform the equations system algebraic We compared result proposed with exact solution show convergence advantages new method. The results got present are that...

In this article, a novel and efficient approach based on Lucas polynomials is introduced for solving three-dimensional mixed Volterra–Fredholm integral equations the two types (3D-MVFIEK2). This method transforms 3D-MVFIEK2 into system of linear algebraic equations. The error evaluation suggested scheme discussed. technique implemented in four examples to illustrate efficiency fulfillment appro...

Some New Uniqueness Results of Solutions for Fractional Volterra-Fredholm Integro-Differential Equations