SEQUENTIAL LANGEVIN EQUATIONS INVOLVING A GENERALIZED TYPE OF CAPUTO DERIVATIVES

Authors

  • Houari Fettouch Laboratory of Pure and Applied Mathematics, Abdelhamid Bni Badis University
  • Zoubir Dahmani Laboratory of LAMDA RO, University of Bldia A
  • Hamid Beddani Ecole Superieure de Genie Electrique et Energetique d'Oran
  • Rabha Wael Ibrahim Information and Communication Technology Research Group, Scientic Research Center, Al-Ayen University
  • Fahd Jarad Department of Mathematics, Çankaya University

Abstract

This paper delves into a class of sequential Langevin equations characterized by three φ-Caputo fractional derivatives and a φ-RiemannLiouville integral. By harnessing the power of Schauders and Banachs fixed-point theorems, we reveal the existence, uniqueness, and well-posedness of solutions to these equations. To further strengthen our theoretical framework, we present a numerical example that illustrates our findings.

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Published

2026-02-28

Issue

Volume 31, Number 1, March 2026

Section

Articles