Review of fractional epidemic models

Y Chen, F Liu, Q Yu, T Li - Applied mathematical modelling, 2021 - Elsevier
The global impact of corona virus (COVID-19) has been profound, and the public health
threat it represents is the most serious seen in a respiratory virus since the 1918 influenza A …

A mathematical model of COVID-19 using fractional derivative: outbreak in India with dynamics of transmission and control

AS Shaikh, IN Shaikh, KS Nisar - Advances in Difference Equations, 2020 - Springer
Since the first case of 2019 novel coronavirus disease (COVID-19) detected on 30 January,
2020, in India, the number of cases rapidly increased to 3819 cases including 106 deaths as …

[HTML][HTML] On modelling of epidemic childhood diseases with the Caputo-Fabrizio derivative by using the Laplace Adomian decomposition method

D Baleanu, SM Aydogn, H Mohammadi… - Alexandria Engineering …, 2020 - Elsevier
We present a fractional-order epidemic model for childhood diseases with the new fractional
derivative approach proposed by Caputo and Fabrizio. By applying the Laplace Adomian …

Mathematical analysis and numerical simulation for a smoking model with Atangana–Baleanu derivative

S Uçar, E Uçar, N Özdemir, Z Hammouch - Chaos, Solitons & Fractals, 2019 - Elsevier
This paper ensures meticulous mathematical study for analyzing the dynamics of smoking
model and its public health with Atangana–Baleanu derivative. The existence and …

On a strong-singular fractional differential equation

D Baleanu, K Ghafarnezhad, S Rezapour… - Advances in Difference …, 2020 - Springer
It is important we try to solve complicate differential equations specially strong singular ones.
We investigate the existence of solutions for a strong-singular fractional boundary value …

[HTML][HTML] Numerical solution of fractional order smoking model via Laplace Adomian decomposition method

F Haq, K Shah, G ur Rahman, M Shahzad - Alexandria Engineering Journal, 2018 - Elsevier
Smoking is one of the major cause of health problems around the globe. The present article
deals with the dynamics of giving up smoking model of fractional order. We study analytical …

A new fractional model for giving up smoking dynamics

J Singh, D Kumar, MA Qurashi, D Baleanu - Advances in Difference …, 2017 - Springer
The key purpose of the present work is to examine a fractional giving up smoking model
pertaining to a new fractional derivative with non-singular kernel. The numerical simulations …

Numerical study and dynamics analysis of diabetes mellitus with co-infection of COVID-19 virus by using fractal fractional operator

M Farman, A Akgül, M Sultan, S Riaz, H Asif… - Scientific Reports, 2024 - nature.com
COVID-19 is linked to diabetes, increasing the likelihood and severity of outcomes due to
hyperglycemia, immune system impairment, vascular problems, and comorbidities like …

A fractional order epidemic model for the simulation of outbreaks of influenza A (H1N1)

G González‐Parra, AJ Arenas… - … methods in the …, 2014 - Wiley Online Library
In this paper, we propose a nonlinear fractional order model in order to explain and
understand the outbreaks of influenza A (H1N1). In the fractional model, the next state …

Modelling and analysis of bad impact of smoking in society with Constant Proportional-Caputo Fabrizio operator

KS Nisar, M Farman, E Hincal, A Shehzad - Chaos, Solitons & Fractals, 2023 - Elsevier
Smoking is now regarded as an epidemic because of the excessive mortality rate and large
costs related to it. In line with the arena of the health enterprize, smoking is the third most …