- Turkish Journal of Mathematics and Computer Science
- Vol: 13 Issue: 1
- An Application to the Existence of Solutions of the Integral Equations
An Application to the Existence of Solutions of the Integral Equations
Authors : Merve Temizer Ersoy
Pages : 115-121
Doi:10.47000/tjmcs.875446
View : 10 | Download : 2
Publication Date : 2021-06-30
Article Type : Research
Abstract :Integral equations provide mathematical models of many important problems in the physical sciences and engineering. This paper treats one class of such equations, concentrating on methods involving the use of classical fixed point theorem. The study of integral equations in connection with nonlinear equations has a long history, during which a variety of approaches has emerged. Here, we effectively use a strategy that derives key properties of the solvability of integral equations from previously established results in Hölder spaces. Moreover, our approach leads to solvability of the Fredholm integral equations.Keywords : Hölder condition, Fredholm Integral Equations, Schauder fixed point theorem