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Approximate numerical algorithms and artificial neural networks for analyzing a fractal-fractional mathematical model.

Authors :
Najafi, Hashem
Bensayah, Abdallah
Tellab, Brahim
Etemad, Sina
Ntouyas, Sotiris K.
Rezapour, Shahram
Jessada Tariboon
Source :
AIMS Mathematics (2473-6988); 2023, Vol. 8 Issue 12, p28280-28307, 28p
Publication Year :
2023

Abstract

In this paper, an analysis of a mathematical model of the coronavirus is carried out by using two fractal-fractional parameters. This dangerous virus infects a person through the mouth, eyes, nose or hands. This makes it so dangerous that no one can get rid of it. One of the main factors contributing to increasing infections of this deadly virus is crowding. We believe that it is necessary to model this effect mathematically to predict the possible outcomes. Hence, the study of neural network-based models related to the spread of this virus can yield new results. This paper also introduces the use of artificial neural networks (ANNs) to approximate the solutions, which is a significant contribution in this regard. We suggest employing this new method to solve a system of integral equations that explain the dynamics of infectious diseases instead of the classical numerical methods. Our study shows that, compared to the Adams-Bashforth algorithm, the ANN is a reliable candidate for solving the problems. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
24736988
Volume :
8
Issue :
12
Database :
Complementary Index
Journal :
AIMS Mathematics (2473-6988)
Publication Type :
Academic Journal
Accession number :
174193133
Full Text :
https://doi.org/10.3934/math.20231447