[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 …

[HTML][HTML] A review of fractional order epidemic models for life sciences problems: Past, present and future

KS Nisar, M Farman, M Abdel-Aty… - Alexandria Engineering …, 2024 - Elsevier
Both mathematics and science exhibit a reciprocally advantageous and close relationship.
The undeniable significance of mathematics in diverse scientific fields, including electrical …

A new study on the mathematical modelling of human liver with Caputo–Fabrizio fractional derivative

D Baleanu, A Jajarmi, H Mohammadi… - Chaos, Solitons & …, 2020 - Elsevier
In this research, we aim to propose a new fractional model for human liver involving Caputo–
Fabrizio derivative with the exponential kernel. Concerning the new model, the existence of …

Hyperchaotic behaviors, optimal control, and synchronization of a nonautonomous cardiac conduction system

D Baleanu, SS Sajjadi, JH Asad, A Jajarmi… - Advances in Difference …, 2021 - Springer
In this paper, the hyperchaos analysis, optimal control, and synchronization of a
nonautonomous cardiac conduction system are investigated. We mainly analyze, control …

Stability analysis and system properties of Nipah virus transmission: A fractional calculus case study

D Baleanu, P Shekari, L Torkzadeh, H Ranjbar… - Chaos, Solitons & …, 2023 - Elsevier
In this paper, we establish a Caputo-type fractional model to study the Nipah virus
transmission dynamics. The model describes the impact of unsafe contact with an infectious …

A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative

B Ghanbari, S Kumar, R Kumar - Chaos, Solitons & Fractals, 2020 - Elsevier
Mathematical biology is one of the interesting research area of applied mathematics that
describes the accurate description of phenomena in biology and related health issues. The …

A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator

D Baleanu, A Jajarmi, SS Sajjadi… - … Interdisciplinary Journal of …, 2019 - pubs.aip.org
In this paper, we present a new fractional-order mathematical model for a tumor-immune
surveillance mechanism. We analyze the interactions between various tumor cell …

[HTML][HTML] A mathematical model of Coronavirus Disease (COVID-19) containing asymptomatic and symptomatic classes

I Ahmed, GU Modu, A Yusuf, P Kumam, I Yusuf - Results in physics, 2021 - Elsevier
The research work in this paper attempts to describe the outbreak of Coronavirus Disease
2019 (COVID-19) with the help of a mathematical model using both the Ordinary Differential …

Non-fractional and fractional mathematical analysis and simulations for Q fever

JKK Asamoah, E Okyere, E Yankson, AA Opoku… - Chaos, Solitons & …, 2022 - Elsevier
The purpose of analysing the transmission dynamism of Q fever (Coxiellosis) in livestock
and incorporating ticks is to outline some management practices to minimise the spread of …

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 …