[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 review of definitions of fractional derivatives and other operators

GS Teodoro, JAT Machado, EC De Oliveira - Journal of Computational …, 2019 - Elsevier
Given the increasing number of proposals and definitions of operators in the scope of
fractional calculus, it is important to introduce a systematic classification. Nonetheless, many …

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 …

[HTML][HTML] On a new and generalized fractional model for a real cholera outbreak

D Baleanu, FA Ghassabzade, JJ Nieto… - Alexandria Engineering …, 2022 - Elsevier
In this paper, a new mathematical model involving the general form of Caputo fractional
derivative is studied for a real case of cholera outbreak. Fundamental properties of the new …

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 …

Numerical solutions and geometric attractors of a fractional model of the cancer-immune based on the Atangana-Baleanu-Caputo derivative and the reproducing …

B Maayah, OA Arqub, S Alnabulsi, H Alsulami - Chinese Journal of Physics, 2022 - Elsevier
Recently, it has become critical to attempt to recognize diseases with high death rates
around the world like infectious diseases and cancer. As a result, modeling in mathematics …

[HTML][HTML] A new comparative study on the general fractional model of COVID-19 with isolation and quarantine effects

D Baleanu, MH Abadi, A Jajarmi, KZ Vahid… - Alexandria Engineering …, 2022 - Elsevier
A generalized version of fractional models is introduced for the COVID-19 pandemic,
including the effects of isolation and quarantine. First, the general structure of fractional …

Modeling and analysis of COVID-19 epidemics with treatment in fractional derivatives using real data from Pakistan

PA Naik, M Yavuz, S Qureshi, J Zu… - The European Physical …, 2020 - Springer
Coronaviruses are a large family of viruses that cause different symptoms, from mild cold to
severe respiratory distress, and they can be seen in different types of animals such as …

[HTML][HTML] Heat transfer analysis of radiator using different shaped nanoparticles water-based ternary hybrid nanofluid with applications: A fractional model

M Arif, P Kumam, W Kumam, Z Mostafa - Case Studies in Thermal …, 2022 - Elsevier
The suspension of nanoparticles in the conventional base fluids getting more attention of the
scholars and researchers due to its unique thermal performance in different field of …