[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 …

Stability and optimal control strategies for a novel epidemic model of COVID-19

X Lü, H Hui, F Liu, Y Bai - Nonlinear Dynamics, 2021 - Springer
In this paper, a novel two-stage epidemic model with a dynamic control strategy is proposed
to describe the spread of Corona Virus Disease 2019 (COVID-19) in China. Combined with …

Vaccination effect conjoint to fraction of avoided contacts for a Sars-Cov-2 mathematical model

S Allegretti, IM Bulai, R Marino… - Mathematical …, 2021 - dergipark.org.tr
In this paper, we consider a modified SIR (susceptible-infected-recovered/removed) model
that describes the evolution in time of the infectious disease caused by Sars-Cov-2 (Severe …

A fractional-order SIRD model with time-dependent memory indexes for encompassing the multi-fractional characteristics of the COVID-19

H Jahanshahi, JM Munoz-Pacheco, S Bekiros… - Chaos, Solitons & …, 2021 - Elsevier
COVID-19 is a novel coronavirus affecting all the world since December last year. Up to
date, the spread of the outbreak continues to complicate our lives, and therefore, several …

European option pricing models described by fractional operators with classical and generalized Mittag‐Leffler kernels

M Yavuz - Numerical Methods for Partial Differential Equations, 2022 - Wiley Online Library
In this paper, we investigate novel solutions of fractional‐order option pricing models and
their fundamental mathematical analyses. The main novelties of the paper are the analysis …

Numerical simulation and stability analysis of a novel reaction–diffusion COVID-19 model

N Ahmed, A Elsonbaty, A Raza, M Rafiq, W Adel - Nonlinear Dynamics, 2021 - Springer
In this study, a novel reaction–diffusion model for the spread of the new coronavirus (COVID-
19) is investigated. The model is a spatial extension of the recent COVID-19 SEIR model …

Solutions and memory effect of fractional-order chaotic system: A review

S He, H Wang, K Sun - Chinese Physics B, 2022 - iopscience.iop.org
Fractional calculus is a 300 years topic, which has been introduced to real physics systems
modeling and engineering applications. In the last few decades, fractional-order nonlinear …

The fractional-order discrete COVID-19 pandemic model: stability and chaos

A Abbes, A Ouannas, N Shawagfeh, H Jahanshahi - Nonlinear Dynamics, 2023 - Springer
This paper presents and investigates a new fractional discrete COVID-19 model which
involves three variables: the new daily cases, additional severe cases and deaths. Here, we …

[HTML][HTML] Control of COVID-19 dynamics through a fractional-order model

S Bushnaq, T Saeed, DFM Torres, A Zeb - Alexandria Engineering Journal, 2021 - Elsevier
We investigate, through a fractional mathematical model, the effects of physical distance on
the SARS-CoV-2 virus transmission. Two controls are considered in our model for …

[HTML][HTML] Caputo fractional-order SEIRP model for COVID-19 Pandemic

SO Akindeinde, E Okyere, AO Adewumi… - Alexandria Engineering …, 2022 - Elsevier
We propose a Caputo-based fractional compartmental model for the dynamics of the novel
COVID-19 pandemic. The newly proposed nonlinear fractional order model is an extension …