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...
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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 |
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Caputo-Fabrizio operator dynamical behavior fractional calculus mathematical model numerical scheme social media addiction |
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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 |
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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. |
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57210147083 |
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57210147083 Shutaywi M. Rehman Z.U. Shah Z. Vrinceanu N. Jan R. Deebani W. Dumitrascu O. |
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Article |
author |
Shutaywi M. Rehman Z.U. Shah Z. Vrinceanu N. Jan R. Deebani W. Dumitrascu O. |
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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 |
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Frontiers Media SA |
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2024 |
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1814060104597635072 |