Existence theory for higher order hybrid fractional integro-differential systems
Journal of Pseudo-Differential Operators and Applications, cilt.17, sa.2, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 17 Sayı: 2
- Basım Tarihi: 2026
- Doi Numarası: 10.1007/s11868-026-00789-9
- Dergi Adı: Journal of Pseudo-Differential Operators and Applications
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
- Anahtar Kelimeler: Existence and uniqueness of solutions, Fixed point theorem, Hybrid integro-differential equation, Stability analysis
- İstanbul Gelişim Üniversitesi Adresli: Evet
Özet
This paper deals with the existence and uniqueness of solutions for a nonlinear hybrid integro-differential system involving the Caputo fractional derivative. The existence and uniqueness of solutions are established for the considered problem by using the Banach contraction principle and the Krasnoselskii fixed-point theorem. We also establish the Ulam-Hyers stability results for the addressed problem. Finally, we give an example to show the effectiveness of our main result. For the sake of completeness, we end the paper with a concluding remark.