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

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

Abstract A mathematical model for the dynamic systems of SMA $\mathbb{SMA}$ involving the ABC $\mathbb{ABC}$ -fractional derivative is considered in this manuscript. We examine the basic reproduction number and analyze the stability of the equilibrium points. We prove the theoretical results of the...

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Bibliographic Details
Main Authors: Jutarat Kongson, Weerawat Sudsutad, Chatthai Thaiprayoon, Jehad Alzabut, Chutarat Tearnbucha
Format: Article
Language:English
Published: SpringerOpen 2021-07-01
Series:Advances in Difference Equations
Subjects:
Atangana–Baleanu–Caputo fractional derivative
Fixed-point theorems
Numerical simulations
Social media addiction
Ulam–Hyers stability
Online Access:https://doi.org/10.1186/s13662-021-03515-5

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