[HTML][HTML] Hilbert approximate solutions and fractional geometric behaviors of a dynamical fractional model of social media addiction affirmed by the fractional Caputo …

B Maayah, OA Arqub - Chaos, Solitons & Fractals: X, 2023 - Elsevier
In this investigation, the dynamical model of social media addiction is considered in the spirit
of the Caputo differential operator. The main utilization is to elucidate the importance of …

Nonlinear dynamics of the media addiction model using the fractal‐fractional derivative technique

S Rashid, R Ashraf, E Bonyah - Complexity, 2022 - Wiley Online Library
Excessive use of social media is a developing concern in the twenty‐first century. This issue
needs to be addressed before it has any more significant consequences than what we are …

[PDF][PDF] Analysis of social media addiction model with singular operator

S Momani, R Chauhan, S Kumar, S Hadid - Fractals, 2023 - researchgate.net
In this work, we study a dynamic model of social media addiction. Addiction to social media
is a behavioural addiction that is very complex in nature. To study such kinds of complex …

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

M Shutaywi, ZU Rehman, Z Shah… - Frontiers in Applied …, 2023 - frontiersin.org
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 …

On analysis of a nonlinear fractional system for social media addiction involving Atangana–Baleanu–Caputo derivative

J Kongson, W Sudsutad, C Thaiprayoon… - Advances in Difference …, 2021 - Springer
A mathematical model for the dynamic systems of SMA SMA involving the ABC ABC-
fractional derivative is considered in this manuscript. We examine the basic reproduction …

Global dynamics and computational modeling approach for analyzing and controlling of alcohol addiction using a novel fractional and fractal–fractional modeling …

S Li, Samreen, S Ullah, MB Riaz, FA Awwad… - Scientific Reports, 2024 - nature.com
In recent years, alcohol addiction has become a major public health concern and a global
threat due to its potential negative health and social impacts. Beyond the health …

[HTML][HTML] Qualitative and quantitative analysis of a fractal fractional HIV/AIDS model

S Jamil, M Farman, A Akgül - Alexandria Engineering Journal, 2023 - Elsevier
The fractal-fractional derivative is a type of fractional derivative that is more broadly
applicable. This method is used to investigate a variety of real-world issues. This work …

The dynamics of HIV/AIDS model with fractal-fractional Caputo derivative

S Ullah, M Altanji, MA Khan, A Alshaheri, W Sumelka - Fractals, 2023 - World Scientific
The human immunodeficiency virus (HIV) is a major global public health issue and causes
millions of deaths around the globe. The most severe phase of HIV infection is known as …

A new fractal-fractional version of giving up smoking model: Application of Lagrangian piece-wise interpolation along with asymptotical stability

S Etemad, A Shikongo, KM Owolabi, B Tellab, İ Avcı… - Mathematics, 2022 - mdpi.com
In this paper, a new kind of mathematical modeling is studied by providing a five-
compartmental system of differential equations with respect to new hybrid generalized fractal …

[HTML][HTML] Dynamical behaviour of HIV/AIDS model using fractional derivative with Mittag-Leffler kernel

A Shaikh, KS Nisar, V Jadhav, SK Elagan… - Alexandria Engineering …, 2022 - Elsevier
A mathematical model describing the HIV/AIDS transmission dynamics in the existence of an
aware community using fractional differential operator having Mittag–Leffler kernel is …