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 …

[HTML][HTML] Novel dynamic structures of 2019-nCoV with nonlocal operator via powerful computational technique

W Gao, P Veeresha, DG Prakasha, HM Baskonus - Biology, 2020 - mdpi.com
In this study, we investigate the infection system of the novel coronavirus (2019-nCoV) with a
nonlocal operator defined in the Caputo sense. With the help of the fractional natural …

A numerical study of complex dynamics of a chemostat model under fractal-fractional derivative

ZA Khan, K Shah, B Abdalla, T Abdeljawad - Fractals, 2023 - World Scientific
In this paper, we study the existence of numerical solution and stability of a chemostat model
under fractal-fractional order derivative. First, we investigate the positivity and roundedness …

New illustrative applications of integral transforms to financial models with different fractional derivatives

EK Akgül, A Akgül, M Yavuz - Chaos, Solitons & Fractals, 2021 - Elsevier
We investigate a couple of different financial/economic models based on market equilibrium
and option pricing with three different fractional derivatives in this paper. We obtain the …

On complex fractal-fractional order mathematical modeling of CO 2 emanations from energy sector

K Shah, T Abdeljawad - Physica Scripta, 2023 - iopscience.iop.org
This research work is devoted to undertake a mathematical model for emissions of carbon
dioxide (CO 2) from energy sector using the concept of fractals-fractional differential (FFD) …

Fractional approach for a mathematical model of atmospheric dynamics of CO2 gas with an efficient method

E Ilhan, P Veeresha, HM Baskonus - Chaos, Solitons & Fractals, 2021 - Elsevier
In the present work, we find the series solution for the system of fractional differential
equations describing the atmospheric dynamics of carbon dioxide (CO 2) gas using the q …

More properties of the proportional fractional integrals and derivatives of a function with respect to another function

F Jarad, T Abdeljawad, S Rashid… - Advances in Difference …, 2020 - Springer
In this article, we present some new properties of the fractional proportional derivatives of a
function with respect to a certain function. We use a modified Laplace transform to find the …