Work

Study of a Coupled Ψ–Liouville–Riemann Fractional Differential System Characterized by Mixed Boundary Conditions

Year: 2024

Type: article

Abstract: This research is concerned with the existence and uniqueness of solutions for a coupled system of Ψ–Riemann–Liouville fractional differential equations. To achieve this objective, we establish a set of necessary conditions by formulating the problem as an integral equation and utilizing well-known fixed-point theorems. By employing these mathematical tools, we demonstrate the existence and uniqueness of solutions for the proposed system. Additionally, to illustrate the practical implications of our findings, we provide several examples that showcase the main results obtained in this study.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract8090510

Authors: Brahim Tellab, Abdelkader Amara, Mohammed El-Hadi Mezabia, Khaled Zennir, Loay Alkhalifa

Institutions: University of Ouargla, Qassim University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,069

Funder: Qassim University