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

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Mathematical Sciences and Applications E-Notes
Volume:10 Issue:1
On the Existence of the Solutions of A Nonlinear Fredholm Integral Equation in Hölder Spaces

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

Pages : 16-26

View : 22 | Download : 5

Publication Date : 2022-03-01

Article Type : Research Paper

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

ORIGINAL ARTICLE URL

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.