Existence theory for higher order hybrid fractional integro-differential systems

Dhaniya S., Kumar A., Khan A., Abdeljawad T.

Journal of Pseudo-Differential Operators and Applications, cilt.17, sa.2, 2026 (SCI-Expanded, Scopus) identifier

  • 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.