On the existence, uniqueness, stability, and numerical aspects for a novel mathematical model of HIV/AIDS transmission by a fractal fractional order derivative

On the existence, uniqueness, stability, and numerical aspects for a novel mathematical model of HIV/AIDS transmission by a fractal fractional order derivative

Abstract In this study, we explore a mathematical model of the transmission of HIV/AIDS. The model incorporates a fractal fractional order derivative with a power-law type kernel. We prove the existence and uniqueness of a solution for the model and establish the stability conditions by employing Ba...

Full description

Bibliographic Details
Main Authors: Yanru Wu, Monireh Nosrati Sahlan, Hojjat Afshari, Maryam Atapour, Ardashir Mohammadzadeh
Format: Article
Language:English
Published: SpringerOpen 2024-03-01
Series:Journal of Inequalities and Applications
Subjects:
Mathematical model of HIV/AIDS transmission
Fractal fractional derivative
Stability
α-ψ-Geraghty type contraction
Gegenbauer polynomials
Online Access:https://doi.org/10.1186/s13660-024-03098-1

Internet

https://doi.org/10.1186/s13660-024-03098-1

Similar Items