Existence of solutions and Hyers-Ulam stability for a coupled system of nonlinear Langevin equations involving φ-Riemann-Liouville and ψ-Caputo fractional derivatives subject to mixed boundary conditions
Year: 2025
Type: article
Abstract: This work investigates the existence, uniqueness, and Hyers-Ulam Stability of solutions to a class of coupled system of nonlinear Langevin equations involving mixed generalized fractional derivatives. The system under consideration is governed by the φ -Caputo and Ψ-Riemann-Liouville fractional operators, subject to mixed boundary conditions. After presenting the necessary prelimi-naries and definitions within the framework of generalized fractional calculus, we employ fixed point theorems to establish sufficient conditions for the existence and uniqueness of solutions. Additionally, Hyers-Ulam stability of the system is investigated. Two pertinent examples are provided to verify the validity of the reported theoretical results.
Source: Gulf Journal of Mathematics
Authors: Said Mekhdoua, Ahcene Boukehila
Institution: Amar Telidji University of Laghouat
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4414891965
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