On the Existence of the Solutions of A Nonlinear Fredholm Integral Equation in Hölder Spaces

In this article, we prove the theorem concerning existence of solutions for some nonlinear integral equations. As an application, investigate problem Fredholm equations using technique relative compactness in conjunction with fixed point theorem. Our are placed space functions satisfying Hölder condition. work is more general than previous works [1-3]. last section, show efficiency approach on one numerical example.