Modeling chickenpox disease with fractional derivatives: From caputo to atangana-baleanu

S Qureshi, A Yusuf - Chaos, Solitons & Fractals, 2019 - Elsevier
This research study is conducted with the aim of getting analysis based upon four different
types of frequently used models of ordinary differential equations related to the chickenpox …

[HTML][HTML] Time-delayed modelling of the COVID-19 dynamics with a convex incidence rate

O Babasola, O Kayode, OJ Peter… - Informatics in Medicine …, 2022 - Elsevier
COVID-19 pandemic represents an unprecedented global health crisis which has an
enormous impact on the world population and economy. Many scientists and researchers …

[HTML][HTML] Modeling and analysis of the dynamics of novel coronavirus (COVID-19) with Caputo fractional derivative

A Ali, FS Alshammari, S Islam, MA Khan, S Ullah - Results in Physics, 2021 - Elsevier
The new emerged infectious disease that is known the coronavirus disease (COVID-19),
which is a high contagious viral infection that started in December 2019 in China city Wuhan …

Fractional derivatives applied to MSEIR problems: Comparative study with real world data

S Qureshi, A Yusuf - The European Physical Journal Plus, 2019 - Springer
In the present study, an epidemiological model (MSEIR) of varicella disease outbreak, also
called the chickenpox, among school children in the Shenzhen city of China in 2015 is …

A fractional model for the dynamics of tuberculosis infection using Caputo-Fabrizio derivative

S Ullah, MA Khan, M Farooq, Z Hammouch, D Baleanu - 2020 - earsiv.cankaya.edu.tr
In the present paper, we study the dynamics of tuberculosis model using fractional order
derivative in Caputo-Fabrizio sense. The number of confirmed notified cases reported by …

A new fractional model for tuberculosis with relapse via Atangana–Baleanu derivative

MA Khan, S Ullah, M Farooq - Chaos, Solitons & Fractals, 2018 - Elsevier
In this work, a new fractional order epidemic model for the tuberculosis (TB) disease with
relapse using Atangana–Baleanu derivative is formulated. The basic reproduction number …

[HTML][HTML] Optimal control for a fractional tuberculosis infection model including the impact of diabetes and resistant strains

NH Sweilam, SM Al-Mekhlafi, D Baleanu - Journal of advanced research, 2019 - Elsevier
The objective of this paper is to study the optimal control problem for the fractional
tuberculosis (TB) infection model including the impact of diabetes and resistant strains. The …

Dynamics of Ebola disease in the framework of different fractional derivatives

K Muhammad Altaf, A Atangana - Entropy, 2019 - mdpi.com
In recent years the world has witnessed the arrival of deadly infectious diseases that have
taken many lives across the globe. To fight back these diseases or control their spread …

Existence of Urysohn and Atangana–Baleanu fractional integral inclusion systems solutions via common fixed point of multi-valued operators

P Amiri, ME Samei - Chaos, Solitons & Fractals, 2022 - Elsevier
This paper aims to prove that the solution of the integral equation systems exists via the
concepts of fixed point and multi-valued operators. For this purpose, at first, some new …

Radiative MHD bioconvective nanofluid flow due to gyrotactic microorganisms using Atangana–Baleanu Caputo fractional derivative

AAM Arafa, ZZ Rashed, SE Ahmed - Physica Scripta, 2021 - iopscience.iop.org
In this paper, the Atangana–Baleanu Caputo (ABC) sense is applied on the unsteady MHD
bioconvection nanofluid boundary layer flow due to gyrotactic microorganisms. The effects of …