[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 …

[PDF][PDF] Dynamics of infectious diseases: A review of the main biological aspects and their mathematical translation

DY Trejos, JC Valverde, E Venturino - Applied Mathematics and …, 2022 - sciendo.com
In this paper, the main biological aspects of infectious diseases and their mathematical
translation for modeling their transmission dynamics are revised. In particular, some …

Optimal control of a fractional order model for the COVID–19 pandemic

BA Baba, B Bilgehan - Chaos, Solitons & Fractals, 2021 - Elsevier
In this paper a fractional optimal control problem was formulated for the outbreak of COVID-
19 using a mathematical model with fractional order derivative in the Caputo sense. The …

Legendre wavelet collocation method for fractional optimal control problems with fractional Bolza cost

N Kumar, M Mehra - Numerical methods for partial differential …, 2021 - Wiley Online Library
This paper exhibits a numerical method for solving general fractional optimal control
problems involving a dynamical system described by a nonlinear Caputo fractional …

Collocation method for solving nonlinear fractional optimal control problems by using Hermite scaling function with error estimates

N Kumar, M Mehra - Optimal Control Applications and Methods, 2021 - Wiley Online Library
This article presents an efficient numerical method for solving fractional optimal control
problems (FOCPs) by utilizing the Hermite scaling function operational matrix of fractional …

Legendre wavelet method for solving variable‐order nonlinear fractional optimal control problems with variable‐order fractional Bolza cost

N Kumar, M Mehra - Asian Journal of Control, 2023 - Wiley Online Library
This paper deals with a numerical method for solving variable‐order fractional optimal
control problem with a fractional Bolza cost composed as the aggregate of a standard Mayer …

Global dynamics of fractional-order model for malaria disease transmission

M Helikumi, PO Lolika - Asian Research Journal of …, 2022 - research.send4journal.com
In this study, we formulated and analyzed a fractional-order model for malaria disease
transmission using Atangana-Beleanu-Caputo in sense to study the effects of heterogeneity …

Fractional derivative model for analysis of HIV and malaria transmission dynamics

KR Cheneke - Discrete Dynamics in Nature and Society, 2023 - Wiley Online Library
In this study, a Caputo fractional derivative is employed to develop a model of malaria and
HIV transmission dynamics with optimal control. Also, the model's basic properties are …

Stability analysis and optimal control of a fractional cholera epidemic model

Y He, Z Wang - Fractal and Fractional, 2022 - mdpi.com
In this paper, a fractional model for the transmission dynamics of cholera was developed. In
invariant regions of the model, solutions were generated. Disease-free and endemic …

Müntz–Legendre wavelet method for solving Sturm–Liouville fractional optimal control problem with error estimates

N Kumar, M Mehra - Mathematical Methods in the Applied …, 2023 - Wiley Online Library
This paper develops a Müntz–Legendre wavelet method for solving a fractional optimal
control problem with dynamic constraint as a fractional Sturm–Liouville problem. We first …