FRACTIONAL CORONAVIRUS MATHEMATICAL MODEL: NUMERICAL AND THEORETICAL TREATMENTS

This study uses a mathematical model that includes Caputo–Fabrizio fractional differential equations (CF-FDEs) to simulate the infection through the fractional COVID-19 model. We approximate the solution of the corresponding system of fractional integral equations (FIEs) using Simpson’s [Formula: see text] rule for numerical integration. We are interested in the stability of the presented approach. The aim of this work is to stop the disease from spreading to all parts of the world. After being initially quarantined, susceptible people may be moved immediately to the confined area or transferred to one of the infected courses for the exposed person. This approach was used by the researchers, who considered both symptomatic and asymptomatic infected patients. The outcomes are contrasted with those discovered utilizing the fourth-order Runge–Kutta method (RK4M).

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Publication Details

Journal
Fractals
Published
2025-10-22
DOI
https://doi.org/10.1142/s0218348x25402820
Primary Topic
Fractional Differential Equations Solutions
Type
article
Field-Weighted Citation Impact
0.00
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article

FRACTIONAL CORONAVIRUS MATHEMATICAL MODEL: NUMERICAL AND THEORETICAL TREATMENTS

Walid Abdelfattah, N. H. Sweilam, M. M. Khader, Mohamed Adel
Fractals
Fractional Differential Equations Solutions
article

FRACTIONAL CORONAVIRUS MATHEMATICAL MODEL: NUMERICAL AND THEORETICAL TREATMENTS

Walid Abdelfattah, N. H. Sweilam, M. M. Khader, Mohamed Adel
article en

Abstract

This study uses a mathematical model that includes Caputo–Fabrizio fractional differential equations (CF-FDEs) to simulate the infection through the fractional COVID-19 model. We approximate the solution of the corresponding system of fractional integral equations (FIEs) using Simpson’s [Formula: see text] rule for numerical integration. We are interested in the stability of the presented approach. The aim of this work is to stop the disease from spreading to all parts of the world. After being initially quarantined, susceptible people may be moved immediately to the confined area or transferred to one of the infected courses for the exposed person. This approach was used by the researchers, who considered both symptomatic and asymptomatic infected patients. The outcomes are contrasted with those discovered utilizing the fourth-order Runge–Kutta method (RK4M).

Fractals
Cairo University (EG), Zagazig University (EG), Imam Mohammad ibn Saud Islamic University (SA), Islamic University of Madinah (SA), University of Business and Technology (SA)
Openalex Percentile: Top 66%
Fractional Differential Equations Solutions
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