## ON THE SOLUTIONS OF SOME NONLINEAR FREDHOLM INTEGRAL EQUATIONS IN TOPOLOGICAL HÖLDER

## ON THE SOLUTIONS OF SOME NONLINEAR FREDHOLM INTEGRAL EQUATIONS IN TOPOLOGICAL HÖLDER

*M. Temizer Ersoy, H. Furkan, B. Sarıçiçek*

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## Abstract

In this article, we show that the existence theorem for fredholm type quadratic integral equation in the space of functions satisfying Holder the condition, based on the classical Schauder xed point theorem, has new methods that perform with relative compactness in the Holder spaces. In section 3, some axioms are introduced to solve the fredholm integral equation. In section 4, one example is presented to verify the eectiveness and applicability of our results.

## Keywords

Fredholm integral equation, schauder xed point theorem, Holder condition, nonlinear equations.