Staff View: Modeling and analysis of the addiction of social media through fractional calculus

Modeling and analysis of the addiction of social media through fractional calculus

Social media addiction (SMA) is the excessive use of social media platforms, resulting in negative consequences for individuals. It is characterized by an uncontrollable urge to use social media, leading to negative effects in human's life. This study aims to construct a mathematical model to c...

Full description

Saved in:

Bibliographic Details
Main Authors:	Shutaywi M., Rehman Z.U., Shah Z., Vrinceanu N., Jan R., Deebani W., Dumitrascu O.
Other Authors:	57210147083
Format:	Article
Published:	Frontiers Media SA 2024
Subjects:	Caputo-Fabrizio operator dynamical behavior fractional calculus mathematical model numerical scheme social media addiction
Tags:	Add Tag No Tags, Be the first to tag this record!

id	my.uniten.dspace-34578
record_format	dspace
spelling	my.uniten.dspace-345782024-10-14T11:20:48Z Modeling and analysis of the addiction of social media through fractional calculus Shutaywi M. Rehman Z.U. Shah Z. Vrinceanu N. Jan R. Deebani W. Dumitrascu O. 57210147083 58095489000 57194441902 26434973300 57205596279 57210144021 57193494969 Caputo-Fabrizio operator dynamical behavior fractional calculus mathematical model numerical scheme social media addiction Social media addiction (SMA) is the excessive use of social media platforms, resulting in negative consequences for individuals. It is characterized by an uncontrollable urge to use social media, leading to negative effects in human's life. This study aims to construct a mathematical model to conceptualize the transmission dynamics of SMA and explore the underlying mechanisms of this harmful addiction in the framework of fractional derivative. The fundamentals of fractional calculus are listed for examining the model. Equilibrium points are identified, and the reproduction parameter R0 is computed to understand the dynamics of SMA spread. Stability analysis of the equilibria is performed, and the impact of various input parameters is numerically investigated. The existence and uniqueness of the proposed SMA model are demonstrated through simulations, which also study the intricate dynamics with respect to different input factors. To develop effective control strategies, the system's dynamical behavior is examined, and the influence of fractional derivative order on fluctuations is explored. This research offers a range of suggestions aimed at reducing the occurrence of social media addiction. Copyright � 2023 Shutaywi, Rehman, Shah, Vrinceanu, Jan, Deebani and Dumitrascu. Final 2024-10-14T03:20:48Z 2024-10-14T03:20:48Z 2023 Article 10.3389/fams.2023.1210404 2-s2.0-85168685665 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85168685665&doi=10.3389%2ffams.2023.1210404&partnerID=40&md5=51981648e2a5785a2185e6758c582a60 https://irepository.uniten.edu.my/handle/123456789/34578 9 1210404 All Open Access Gold Open Access Frontiers Media SA Scopus
institution	Universiti Tenaga Nasional
building	UNITEN Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Tenaga Nasional
content_source	UNITEN Institutional Repository
url_provider	http://dspace.uniten.edu.my/
topic	Caputo-Fabrizio operator dynamical behavior fractional calculus mathematical model numerical scheme social media addiction
spellingShingle	Caputo-Fabrizio operator dynamical behavior fractional calculus mathematical model numerical scheme social media addiction Shutaywi M. Rehman Z.U. Shah Z. Vrinceanu N. Jan R. Deebani W. Dumitrascu O. Modeling and analysis of the addiction of social media through fractional calculus
description	Social media addiction (SMA) is the excessive use of social media platforms, resulting in negative consequences for individuals. It is characterized by an uncontrollable urge to use social media, leading to negative effects in human's life. This study aims to construct a mathematical model to conceptualize the transmission dynamics of SMA and explore the underlying mechanisms of this harmful addiction in the framework of fractional derivative. The fundamentals of fractional calculus are listed for examining the model. Equilibrium points are identified, and the reproduction parameter R0 is computed to understand the dynamics of SMA spread. Stability analysis of the equilibria is performed, and the impact of various input parameters is numerically investigated. The existence and uniqueness of the proposed SMA model are demonstrated through simulations, which also study the intricate dynamics with respect to different input factors. To develop effective control strategies, the system's dynamical behavior is examined, and the influence of fractional derivative order on fluctuations is explored. This research offers a range of suggestions aimed at reducing the occurrence of social media addiction. Copyright � 2023 Shutaywi, Rehman, Shah, Vrinceanu, Jan, Deebani and Dumitrascu.
author2	57210147083
author_facet	57210147083 Shutaywi M. Rehman Z.U. Shah Z. Vrinceanu N. Jan R. Deebani W. Dumitrascu O.
format	Article
author	Shutaywi M. Rehman Z.U. Shah Z. Vrinceanu N. Jan R. Deebani W. Dumitrascu O.
author_sort	Shutaywi M.
title	Modeling and analysis of the addiction of social media through fractional calculus
title_short	Modeling and analysis of the addiction of social media through fractional calculus
title_full	Modeling and analysis of the addiction of social media through fractional calculus
title_fullStr	Modeling and analysis of the addiction of social media through fractional calculus
title_full_unstemmed	Modeling and analysis of the addiction of social media through fractional calculus
title_sort	modeling and analysis of the addiction of social media through fractional calculus
publisher	Frontiers Media SA
publishDate	2024
_version_	1814060104597635072
score	13.222552

Modeling and analysis of the addiction of social media through fractional calculus

Similar Items