[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 …

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 …

On the analysis of vibration equation involving a fractional derivative with Mittag‐Leffler law

D Kumar, J Singh, D Baleanu - Mathematical Methods in the …, 2020 - Wiley Online Library
The present article deals with a fractional extension of the vibration equation for very large
membranes with distinct special cases. The fractional derivative is considered in Atangana …

On the fractional optimal control problems with a general derivative operator

A Jajarmi, D Baleanu - Asian Journal of Control, 2021 - Wiley Online Library
This paper deals with a general form of fractional optimal control problems involving the
fractional derivative with singular or non‐singular kernel. The necessary conditions for the …

Planar system-masses in an equilateral triangle: numerical study within fractional calculus

D Baleanu, B Ghanbari, JH Asad… - … in Engineering & …, 2020 - ingentaconnect.com
In this work, a system of three masses on the vertices of equilateral triangle is investigated.
This system is known in the literature as a planar system. We first give a description to the …

A new and efficient numerical method for the fractional modeling and optimal control of diabetes and tuberculosis co-existence

A Jajarmi, B Ghanbari, D Baleanu - Chaos: An Interdisciplinary Journal …, 2019 - pubs.aip.org
The main objective of this research is to investigate a new fractional mathematical model
involving a nonsingular derivative operator to discuss the clinical implications of diabetes …

Analysis of Caputo fractional-order model for COVID-19 with lockdown

I Ahmed, IA Baba, A Yusuf, P Kumam… - Advances in difference …, 2020 - Springer
One of the control measures available that are believed to be the most reliable methods of
curbing the spread of coronavirus at the moment if they were to be successfully applied is …

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 …

The fractional features of a harmonic oscillator with position-dependent mass

D Baleanu, A Jajarmi, SS Sajjadi… - … in Theoretical Physics, 2020 - iopscience.iop.org
In this study, a harmonic oscillator with position-dependent mass is investigated. Firstly, as
an introduction, we give a full description of the system by constructing its classical …

A new fractional HRSV model and its optimal control: a non-singular operator approach

A Jajarmi, A Yusuf, D Baleanu, M Inc - Physica A: Statistical Mechanics and …, 2020 - Elsevier
In the current work, a fractional version of SIRS model is extensively investigated for the
HRSV disease involving a new derivative operator with Mittag-Leffler kernel in the Caputo …