4.6 Article

A FRACTAL-FRACTIONAL 2019-NCOV MODEL OF MAJOR DISASTER FOR HUMAN LIFE

Related references

Note: Only part of the references are listed.
Article Mathematics, Applied

A study on fractional COVID-19 disease model by using Hermite wavelets

Sunil Kumar et al.

Summary: The main objective of this study is to reveal the speed characteristic of ongoing outbreak COVID-19 due to novel coronavirus. The researchers used Hermite wavelets basis and collocation scheme operational matrix to solve the COVID-19 model with arbitrary order Caputo derivative. The study investigated the behaviors of the arbitrary-order COVID-19 system and compared the results with existing developments.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2023)

Article Automation & Control Systems

On the fractional optimal control problems with a general derivative operator

Amin Jajarmi et al.

Summary: This paper focuses on a general form of fractional optimal control problems and introduces a new numerical method to solve these equations effectively. Simulation results demonstrate that the proposed method performs well both in terms of accuracy and computational efficiency. Comparative results suggest that a specific case with Mittag-Leffler kernel improves the transient response of the controlled system compared to other types of derivatives.

ASIAN JOURNAL OF CONTROL (2021)

Article Mathematics, Applied

Analysis of the fractional corona virus pandemic via deterministic modeling

Nguyen Huy Tuan et al.

Summary: The global increase in COVID-19 cases has led to a search for individuals with modeling skills and vaccine possibilities by public and private health authorities. A new mathematical model has been proposed to analyze the virus dynamics, with optimizations for parameter values and conclusions on disease stability. Numerical simulations have confirmed the importance of measures like social distancing, mask-wearing, and staying at home in preventing further virus spread.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2021)

Article Mathematics, Applied

A mathematical analysis of ongoing outbreak COVID-19 in India through nonsingular derivative

Kiran Malathesha Safare et al.

Summary: This study focuses on analyzing the evolution of COVID-19 in India through different time periods, demonstrating the exponential growth of cases and discussing the necessity of controlling its spread. Additionally, a new mathematical method is proposed to solve related nonlinear systems, proving its feasibility and uniqueness, and emphasizing the importance of fractional operators.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2021)

Article Engineering, Multidisciplinary

Qualitative analysis of fractal-fractional order COVID-19 mathematical model with case study of Wuhan

Zeeshan Ali et al.

Summary: The manuscript presents a qualitative analysis of a mathematical model for COVID-19, which involves a novel fractal-fractional operator and considers both fractional-order q and fractal dimension p. Numerical simulations and stability analyses are conducted to unveil the characteristics of disease transmission dynamics.

ALEXANDRIA ENGINEERING JOURNAL (2021)

Article Materials Science, Multidisciplinary

Numerical analysis of COVID-19 model with constant fractional order and variable fractal dimension

Badr Saad T. Alkahtani et al.

Summary: This work establishes a mathematical model considering nonlocal operators to describe the spread of COVID-19 in a population, presenting the well-poseness of models for different differential operators and a novel numerical scheme for solving the system.

RESULTS IN PHYSICS (2021)

Article Physics, Multidisciplinary

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

Muhammad Altaf Khan et al.

Summary: The world is still dealing with the second wave of the new coronavirus disease pandemic, exploring different approaches such as modeling, data analysis, and disease control to reduce infection. Researchers have proposed a new mathematical model to understand the dynamics and control of the disease, using fractional modeling to study the transmission and control of COVID-19.

EUROPEAN PHYSICAL JOURNAL PLUS (2021)

Article Materials Science, Multidisciplinary

A mathematical model of Coronavirus Disease (COVID-19) containing asymptomatic and symptomatic classes

Idris Ahmed et al.

Summary: This research used a mathematical model to describe the outbreak of COVID-19, considering different scenarios of infected individuals and conducting numerical simulations. The model showed two equilibrium points, a disease-free equilibrium point and an endemic equilibrium point, with the former being locally asymptotically stable when the basic reproduction number is less than 1, and the latter being globally asymptotically stable when the number is greater than 1. Sensitivity analysis of parameters revealed the most critical factors in determining the spread of the disease, such as the contact rate and transfer rate between different classes of individuals.

RESULTS IN PHYSICS (2021)

Article Mathematics, Applied

On a nonlinear dynamical system with both chaotic and nonchaotic behaviors: a new fractional analysis and control

Dumitru Baleanu et al.

Summary: This paper analyzes the dynamic motion of a quarter-car suspension system with sinusoidal road excitation force, introducing a new fractional-order differential equations mathematical model and proposing a quadratic numerical method to solve the related equations. By investigating time-domain responses and phase portraits, both chaotic and non-chaotic behaviors of the system can be identified through the fractional-order model. A state-feedback controller and chaos optimal control are presented to overcome chaotic oscillations in the system, with simulation results demonstrating the effectiveness of the proposed modeling and control strategies.

ADVANCES IN DIFFERENCE EQUATIONS (2021)

Article Physics, Multidisciplinary

Chaos and multiple attractors in a fractal-fractional Shinriki's oscillator model

J. F. Gomez-Aguilar

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2020)

Article Physics, Multidisciplinary

Comparison of numerical techniques for the solution of a fractional epidemic model

Ebraheem O. Alzahrani et al.

EUROPEAN PHYSICAL JOURNAL PLUS (2020)

Article Mathematics, Interdisciplinary Applications

Modeling and analysis of the polluted lakes system with various fractional approaches

M. M. El-Dessoky Ahmed et al.

CHAOS SOLITONS & FRACTALS (2020)

Article Mathematics, Interdisciplinary Applications

A new study on the mathematical modelling of human liver with Caputo-Fabrizio fractional derivative

Dumitru Baleanu et al.

CHAOS SOLITONS & FRACTALS (2020)

Article Mathematics, Applied

Analysis and numerical simulation of fractional model of bank data with fractal-fractional Atangana-Baleanu derivative

Wanting Wang et al.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2020)

Article Mathematics, Applied

Mathematical analysis of memristor through fractal-fractional differential operators: A numerical study

Kashif Ali Abro et al.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2020)

Article Engineering, Multidisciplinary

Modeling the dynamics of novel coronavirus (2019-nCov) with fractional derivative

Muhammad Altaf Khan et al.

ALEXANDRIA ENGINEERING JOURNAL (2020)

Article Mathematics, Interdisciplinary Applications

A new study of unreported cases of 2019-nCOV epidemic outbreaks

Wei Gao et al.

CHAOS SOLITONS & FRACTALS (2020)

Article Mathematics, Interdisciplinary Applications

A mathematical model of the evolution and spread of pathogenic coronaviruses from natural host to human host

Fatma Bozkurt et al.

CHAOS SOLITONS & FRACTALS (2020)

Article Mathematics, Interdisciplinary Applications

Analysis of a mathematical model for COVID-19 population dynamics in Lagos, Nigeria

D. Okuonghae et al.

CHAOS SOLITONS & FRACTALS (2020)

Article Mathematics, Applied

Existence of solution and stability for the fractional order novel coronavirus (nCoV-2019) model

Azhar Hussain et al.

ADVANCES IN DIFFERENCE EQUATIONS (2020)

Article Mathematics, Applied

On the optimal control of coronavirus (2019-nCov) mathematical model; a numerical approach

N. H. Sweilam et al.

ADVANCES IN DIFFERENCE EQUATIONS (2020)

Article Mathematics, Applied

Dynamics of COVID-19 via singular and non-singular fractional operators under real statistical observations

Metib Alghamdi et al.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2020)

Article Mathematics, Applied

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

Sunil Kumar et al.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2020)

Article Materials Science, Multidisciplinary

Fractal-Fractional Mathematical Model Addressing the Situation of Corona Virus in Pakistan

Kamal Shah et al.

RESULTS IN PHYSICS (2020)

Article Materials Science, Multidisciplinary

A study on the spread of COVID 19 outbreak by using mathematical modeling

Jyoti Mishra

RESULTS IN PHYSICS (2020)

Article Materials Science, Multidisciplinary

On a new conceptual mathematical model dealing the current novel coronavirus-19 infectious disease

Anwarud Din et al.

RESULTS IN PHYSICS (2020)

Article Mathematics, Interdisciplinary Applications

Numerical Simulation of the Fractal-Fractional Ebola Virus

H. M. Srivastava et al.

FRACTAL AND FRACTIONAL (2020)

Article Mathematics, Interdisciplinary Applications

Modeling attractors of chaotic dynamical systems with fractal-fractional operators

Abdon Atangana et al.

CHAOS SOLITONS & FRACTALS (2019)

Article Mathematics, Interdisciplinary Applications

Novel numerical method for solving variable-order fractional differential equations with power, exponential and Mittag-Leffler laws

J. E. Solis-Perez et al.

CHAOS SOLITONS & FRACTALS (2018)

Article Mathematics, Interdisciplinary Applications

Fractal-fractional differentiation and integration: Connecting fractal calculus and fractional calculus to predict complex system

Abdon Atangana

CHAOS SOLITONS & FRACTALS (2017)

Article Physics, Multidisciplinary

The Motion of a Bead Sliding on a Wire in Fractional Sense

D. Baleanu et al.

ACTA PHYSICA POLONICA A (2017)