Coupled sequential fractional differential equations with nonlocal boundary conditions: uniqueness and stability

Houas M., Samei M. E., ÖZAVŞAR M., Ghaedi F.

Journal of Applied Mathematics and Computing, vol.71, no.Suppl 1, pp.1167-1196, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 71 Issue: Suppl 1
  • Publication Date: 2025
  • Doi Number: 10.1007/s12190-025-02496-y
  • Journal Name: Journal of Applied Mathematics and Computing
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, ABI/INFORM, Aerospace Database, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.1167-1196
  • Keywords: Caputo derivative, Existence, Fractional difference equations, Nonlinear analysis, Ulam-hyers stability
  • Yıldız Technical University Affiliated: Yes

Abstract

In this work, we study coupled system of sequential fractional q-difference equations with nonlocal boundary conditions involving the fractional derivatives of the Caputo type. Uniqueness results of the underlying system are presented with the aid of Banach’s contraction principle. Also the stability of the considered problem is defined and discussed. Finally, we introduce an example supporting our main results.