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A Study on Some Classes of Hybrid Langevin Pantograph ψ-Caputo Fractional Coupled Systems

Year: 2025

Type: article

Abstract: This paper focuses on the study of a class of coupled systems of hybrid Langevin fractional pantograph differential equations involving the ψ-Caputo fractional derivative within Banach spaces. By applying Banach’s fixed-point theorem, we demonstrate the uniqueness of solutions to our coupled system. The existence of the solution is then shown using Dhage’s fixed-point theorem. Additionally, we analyze the stability in the sense of Ulam-Hyers and Ulam-Hyers-Rassias. Finally, we present an example to illustrate our results.

Source: Pan-American Journal of Mathematics

DOI: 10.28919/cpr-pajm/4-14

Authors: Houari Bouzid, Abdelkader Benali, Abdelkrim Salim, Louiza Tabharit

Institutions: Hassiba Benbouali University of Chlef, Université de Mostaganem

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4413195403

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