[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 …

SIR epidemic model with Mittag–Leffler fractional derivative

N Sene - Chaos, Solitons & Fractals, 2020 - Elsevier
The SIR epidemic model with delay in the context of the fractional derivative with Mittag–
Leffler kernel has been considered. The Atangana–Baleanu fractional derivative is a non …

Fractional derivatives applied to epidemiology

NZ MONTEIRO, SR MAZORCHE - Trends in Computational and …, 2021 - SciELO Brasil
We seek investigate the use of fractional derivatives, both analytically and through
simulations. We present some models and perform investigations about them, starting with …

[HTML][HTML] Analysis of a fractional SEIR model with treatment

R Almeida - Applied Mathematics Letters, 2018 - Elsevier
In this paper we focus on models consisting of fractional differential equations to describe
the dynamics of certain epidemics. The population is divided into susceptible, exposed …

Stability analysis of an incommensurate fractional-order SIR model

B Daşbaşı - Mathematical Modelling and Numerical Simulation with …, 2021 - dergipark.org.tr
In this paper, a fractional-order generalization of the susceptible-infected-recovered (SIR)
epidemic model for predicting the spread of an infectious disease is presented. Also, an …

[HTML][HTML] Analysis and dynamics of fractional order Covid-19 model with memory effect

S Yadav, D Kumar, J Singh, D Baleanu - Results in physics, 2021 - Elsevier
The present article attempts to examine fractional order Covid-19 model by employing an
efficient and powerful analytical scheme termed as q-homotopy analysis Sumudu transform …

Global stability of a fractional order SIS epidemic model

Z Wu, Y Cai, Z Wang, W Wang - Journal of Differential Equations, 2023 - Elsevier
In this paper, we establish a new fractional order SIS (frSIS) model by way of continuous
time random walk. The value of this study lies in two aspects. Mathematically, we provide a …

A novel fractional-order discrete SIR model for predicting COVID-19 behavior

N Djenina, A Ouannas, IM Batiha, G Grassi… - Mathematics, 2022 - mdpi.com
During the broadcast of Coronavirus across the globe, many mathematicians made several
mathematical models. This was, of course, in order to understand the forecast and behavior …

Global analysis of a time fractional order spatio-temporal SIR model

MR Sidi Ammi, M Tahiri, M Tilioua, A Zeb, I Khan… - Scientific Reports, 2022 - nature.com
We deal in this paper with a diffusive SIR epidemic model described by reaction–diffusion
equations involving a fractional derivative. The existence and uniqueness of the solution are …

Khalouta transform and applications to Caputo-fractional differential equations

N Kumawat, A Shukla, MN Mishra, R Sharma… - Frontiers in Applied …, 2024 - frontiersin.org
The paper aims to utilize an integral transform, specifically the Khalouta transform, an
abstraction of various integral transforms, to address fractional differential equations using …