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

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dc.citedby3
dc.contributor.authorShutaywi M.en_US
dc.contributor.authorRehman Z.U.en_US
dc.contributor.authorShah Z.en_US
dc.contributor.authorVrinceanu N.en_US
dc.contributor.authorJan R.en_US
dc.contributor.authorDeebani W.en_US
dc.contributor.authorDumitrascu O.en_US
dc.contributor.authorid57210147083en_US
dc.contributor.authorid58095489000en_US
dc.contributor.authorid57194441902en_US
dc.contributor.authorid26434973300en_US
dc.contributor.authorid57205596279en_US
dc.contributor.authorid57210144021en_US
dc.contributor.authorid57193494969en_US
dc.date.accessioned2024-10-14T03:20:48Z
dc.date.available2024-10-14T03:20:48Z
dc.date.issued2023
dc.description.abstractSocial 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.en_US
dc.description.natureFinalen_US
dc.identifier.ArtNo1210404
dc.identifier.doi10.3389/fams.2023.1210404
dc.identifier.scopus2-s2.0-85168685665
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85168685665&doi=10.3389%2ffams.2023.1210404&partnerID=40&md5=51981648e2a5785a2185e6758c582a60
dc.identifier.urihttps://irepository.uniten.edu.my/handle/123456789/34578
dc.identifier.volume9
dc.publisherFrontiers Media SAen_US
dc.relation.ispartofAll Open Access
dc.relation.ispartofGold Open Access
dc.sourceScopus
dc.sourcetitleFrontiers in Applied Mathematics and Statistics
dc.subjectCaputo-Fabrizio operator
dc.subjectdynamical behavior
dc.subjectfractional calculus
dc.subjectmathematical model
dc.subjectnumerical scheme
dc.subjectsocial media addiction
dc.titleModeling and analysis of the addiction of social media through fractional calculusen_US
dc.typeArticleen_US
dspace.entity.typePublication
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