Work

Optimal Control Analysis of a Fractional-order Model for Online Gaming Addiction

Year: 2025

Type: article

Abstract: This paper presents an optimal control framework for modeling online gaming addiction through a system of fractional differential equations. We apply the forward-backward sweep method with the generalized Euler scheme to compute the numerical solutions of the optimal system. We employ four distinct control strategies that operate within the control system simultaneously. Each control strategy contributes to a reduction in the level of online gaming addiction; however, the combined strategy provides more effective results than any individual control. Numerical simulations demonstrate that the optimal control strategies perform better than a non-integer framework. Our approach demonstrates improved efficacy in managing online game addiction across diverse fractional-order values. The results highlight the crucial importance of fractional calculus in modeling the complex dynamics of real-world phenomena.

Source: Fractals

DOI: 10.1142/s0218348x25402595

Authors: MUHAMMAD NADEEM, MUSTAFA HABIB, RIFAT ANSAR, SHAZIA KARIM, LOREDANA FLORENTINA IAMBOR, ASMA ABBAS HASSAN ELNOUR, WEDAD M. ALAWAD

Institutions: Qujing Normal University, Yunnan Provincial Department of Education, University of Engineering and Technology Lahore, University of Oradea, King Khalid University, Qassim University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funder: King Khalid University

OpenAlex ID: W4412667704

FWCI: 0.763

Cites: 31

Cited by: 1

Related to: 10