Modeling attractors of chaotic dynamical systems with fractal–fractional operators

A Atangana, S Qureshi - Chaos, solitons & fractals, 2019 - Elsevier
In this paper, newly proposed differential and integral operators called the fractal–fractional
derivatives and integrals have been used to predict chaotic behavior of some attractors from …

Numerical investigations on COVID‐19 model through singular and non‐singular fractional operators

S Kumar, RP Chauhan, S Momani… - Numerical Methods for …, 2024 - Wiley Online Library
Nowadays, the complete world is suffering from untreated infectious epidemic disease
COVID‐19 due to coronavirus, which is a very dangerous and deadly viral infection. So, the …

A robust study on 2019-nCOV outbreaks through non-singular derivative

MA Khan, S Ullah, S Kumar - The European Physical Journal Plus, 2021 - Springer
The new coronavirus disease is still a major panic for people all over the world. The world is
grappling with the second wave of this new pandemic. Different approaches are taken into …

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] Analysis, modeling and simulation of a fractional-order influenza model

MA Abdoon, R Saadeh, M Berir, FEL Guma - Alexandria Engineering …, 2023 - Elsevier
The primary goal of this study is to provide a novel mathematical model for Influenza using
the Atangana–Baleanu Caputo fractional-order derivative operator (ABC-Operator) in place …

Fractional modeling of blood ethanol concentration system with real data application

S Qureshi, A Yusuf, AA Shaikh, M Inc… - … Journal of Nonlinear …, 2019 - pubs.aip.org
In this study, a physical system called the blood ethanol concentration model has been
investigated in its fractional (non-integer) order version. The three most commonly used …

Mathematical analysis of dengue fever outbreak by novel fractional operators with field data

S Qureshi, A Atangana - Physica A: Statistical Mechanics and its …, 2019 - Elsevier
An epidemiological model is proposed for three different types of novel fractional-order
derivative operators known as the Caputo, the Caputo–Fabrizio, and the Atangana–Baleanu …

Fractal-fractional differentiation for the modeling and mathematical analysis of nonlinear diarrhea transmission dynamics under the use of real data

S Qureshi, A Atangana - Chaos, Solitons & Fractals, 2020 - Elsevier
In connection with issues pertinent with humans' health, it is highly significant to
comprehend the complex dynamics of the related infectious disease since the non …

[PDF][PDF] Analytic solution of fractional order Pseudo-Hyperbolic Telegraph equation using modified double Laplace transform method

ST Abdulazeez, M Modanli - Int J Math Comput Eng, 2023 - intapi.sciendo.com
Abstract The Pseudo-Hyperbolic Telegraph partial differential equation (PHTPDE) based on
the Caputo fractional derivative is investigated in this paper. The modified double Laplace …

A fractional order HIV‐TB coinfection model with nonsingular Mittag‐Leffler Law

H Khan, JF Gómez‐Aguilar… - … Methods in the …, 2020 - Wiley Online Library
The biological models for the study of human immunodeficiency virus (HIV) and its
advanced stage acquired immune deficiency syndrome (AIDS) have been widely studied in …