[HTML][HTML] A review on epidemic models in sight of fractional calculus

KS Nisar, M Farman, M Abdel-Aty, J Cao - Alexandria Engineering Journal, 2023 - Elsevier
Biomathematics has become one of the most significant areas of research as a result of
interdisciplinary study. Chronic diseases sometimes referred to as non-communicable and …

A theoretical study of the Caputo–Fabrizio fractional modeling for hearing loss due to Mumps virus with optimal control

H Mohammadi, S Kumar, S Rezapour… - Chaos, Solitons & …, 2021 - Elsevier
Mumps is the most common cause of acquired unilateral deafness in children, in which
hearing loss occurs at all auditory frequencies. We use a box model to model hearing loss in …

Time series forecasting of COVID-19 transmission in Canada using LSTM networks

VKR Chimmula, L Zhang - Chaos, solitons & fractals, 2020 - Elsevier
Abstract On March 11 th 2020, World Health Organization (WHO) declared the 2019 novel
corona virus as global pandemic. Corona virus, also known as COVID-19 was first …

Some novel mathematical analysis on the fractal–fractional model of the AH1N1/09 virus and its generalized Caputo-type version

S Etemad, I Avci, P Kumar, D Baleanu… - Chaos, Solitons & …, 2022 - Elsevier
In this paper, we formulate a new model of a particular type of influenza virus called
AH1N1/09 in the framework of the four classes consisting of susceptible, exposed, infectious …

A new study of unreported cases of 2019-nCOV epidemic outbreaks

W Gao, P Veeresha, HM Baskonus, DG Prakasha… - Chaos, Solitons & …, 2020 - Elsevier
nCOV epidemic is one of the greatest threat that the mortality faced since the World War-2
and most decisive global health calamity of the century. In this manuscript, we study the …

On a comprehensive model of the novel coronavirus (COVID-19) under Mittag-Leffler derivative

MS Abdo, K Shah, HA Wahash, SK Panchal - Chaos, Solitons & Fractals, 2020 - Elsevier
The major purpose of the presented study is to analyze and find the solution for the model of
nonlinear fractional differential equations (FDEs) describing the deadly and most parlous …

Analysis of Caputo fractional-order model for COVID-19 with lockdown

I Ahmed, IA Baba, A Yusuf, P Kumam… - Advances in difference …, 2020 - Springer
One of the control measures available that are believed to be the most reliable methods of
curbing the spread of coronavirus at the moment if they were to be successfully applied is …

Novel dynamic structures of 2019-nCoV with nonlocal operator via powerful computational technique

W Gao, P Veeresha, DG Prakasha, HM Baskonus - Biology, 2020 - mdpi.com
In this study, we investigate the infection system of the novel coronavirus (2019-nCoV) with a
nonlocal operator defined in the Caputo sense. With the help of the fractional natural …

Investigating a nonlinear dynamical model of COVID-19 disease under fuzzy caputo, random and ABC fractional order derivative

M ur Rahman, M Arfan, K Shah… - Chaos, Solitons & …, 2020 - Elsevier
This paper is devoted to investigation of the fractional order fuzzy dynamical system, in our
case, modeling the recent pandemic due to corona virus (COVID-19). The considered model …

Caputo type fractional operator applied to Hepatitis B system

A Din, Y Li, A Yusuf, AI Ali - Fractals, 2022 - World Scientific
In our research work, we develop the analysis of a noninteger-order model for hepatitis B
(HBV) under singular type Caputo fractional-order derivative. We investigated our proposed …