[HTML][HTML] Different strategies for diabetes by mathematical modeling: modified minimal model

KIA Ahmed, HDS Adam, MY Youssif, S Saber - Alexandria Engineering …, 2023 - Elsevier
A fractal-fractional-order of a modified minimal model of glucose-insulin interaction model is
proposed in sense of Atangana-Baleanu operator based on the intravenous glucose …

Fractional order SEIQRD epidemic model of Covid-19: A case study of Italy

S Paul, A Mahata, S Mukherjee, PC Mali, B Roy - PLoS One, 2023 - journals.plos.org
The fractional order SEIQRD compartmental model of COVID-19 is explored in this
manuscript with six different categories in the Caputo approach. A few findings for the new …

Study of fractional order SEIR epidemic model and effect of vaccination on the spread of COVID-19

S Paul, A Mahata, S Mukherjee, B Roy, M Salimi… - International journal of …, 2022 - Springer
In this manuscript, a fractional order SEIR model with vaccination has been proposed. The
positivity and boundedness of the solutions have been verified. The stability analysis of the …

[HTML][HTML] Application of a time-fractal fractional derivative with a power-law kernel to the Burke-Shaw system based on Newton's interpolation polynomials

N Almutairi, S Saber - MethodsX, 2024 - Elsevier
This paper proposes some updated and improved numerical schemes based on Newton's
interpolation polynomial. A Burke-Shaw system of the time-fractal fractional derivative with a …

[HTML][HTML] Modeling the dynamics of COVID-19 using fractal-fractional operator with a case study

JC Zhou, S Salahshour, A Ahmadian, N Senu - Results in Physics, 2022 - Elsevier
This research study consists of a newly proposed Atangana–Baleanu derivative for
transmission dynamics of the coronavirus (COVID-19) epidemic. Taking the advantage of …

Dynamics of a fractional-order COVID-19 epidemic model with quarantine and standard incidence rate

Trisilowati, I Darti, RR Musafir, M Rayungsari… - Axioms, 2023 - mdpi.com
In this paper, we propose a fractional-order COVID-19 epidemic model with a quarantine
and standard incidence rate using the Caputo fractional-order derivative. The model …

[HTML][HTML] Using advanced analysis together with fractional order derivative to investigate a smoking tobacco cancer model

I Shah, H Alrabaiah, B Ozdemir - Results in Physics, 2023 - Elsevier
This research manuscript is devoted to investigate a smoking tobacco cancer model by
applying some advanced techniques based on second derivative. The snuffing class is …

[PDF][PDF] Dynamics of COVID-19 epidemic model with asymptomatic infection, quarantine, protection and vaccination

RR Musafir, A Suryanto, I Darti - Communication in …, 2021 - pdfs.semanticscholar.org
We discuss the dynamics of new COVID-19 epidemic model by considering asymptomatic
infections and the policies such as quarantine, protection (adherence to health protocols) …

A case study of 2019‐nCoV in Russia using integer and fractional order derivatives

M Vellappandi, P Kumar… - Mathematical Methods in …, 2023 - Wiley Online Library
In this article, we define a mathematical model to analyze the outbreaks of the most deadly
disease of the decade named 2019‐nCoV by using integer and fractional order derivatives …

A highly accurate artificial neural networks scheme for solving higher multi‐order fractal‐fractional differential equations based on generalized Caputo derivative

AM Shloof, A Ahmadian, N Senu… - International Journal …, 2023 - Wiley Online Library
Artificial neural networks have great potential for learning and stability in the face of tiny
input data changes. As a result, artificial intelligence techniques and modeling tools have a …