Solvability of a quadratic nonlinear fractional integral equation
Annali dell'Universita di Ferrara, cilt.72, sa.2, 2026 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 72 Sayı: 2
- Basım Tarihi: 2026
- Doi Numarası: 10.1007/s11565-026-00661-0
- Dergi Adı: Annali dell'Universita di Ferrara
- Derginin Tarandığı İndeksler: Scopus, MathSciNet, zbMATH
- Anahtar Kelimeler: Leray-Schauder fixed point theorem, Petryshyn fixed point theorem, Quadratic fractional integral equation
- İnönü Üniversitesi Adresli: Evet
Özet
The purpose of this paper is to study the existence of solutions for quadratic fractional integral equations by using fixed point theorems. A technique which is based on the concept of the measure of noncompactness together with a special form of the Leray–Schauder fixed point theorem is used. Using this technique, there is no need for the operators to be closed, convex, or compact in the theorem. Finally, some examples are given at the end of the paper to show how the results work.