دورية أكاديمية

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

التفاصيل البيبلوغرافية
العنوان: Approximate numerical algorithms and artificial neural networks for analyzing a fractal-fractional mathematical model
المؤلفون: Hashem Najafi, Abdallah Bensayah, Brahim Tellab, Sina Etemad, Sotiris K. Ntouyas, Shahram Rezapour, Jessada Tariboon
المصدر: AIMS Mathematics, Vol 8, Iss 12, Pp 28280-28307 (2023)
بيانات النشر: AIMS Press, 2023.
سنة النشر: 2023
المجموعة: LCC:Mathematics
مصطلحات موضوعية: fractal-fractional derivative, fixed-point theorem, artificial neural networks, Mathematics, QA1-939
الوصف: 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.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 2473-6988
Relation: https://doaj.org/toc/2473-6988
DOI: 10.3934/math.20231447?viewType=HTML
DOI: 10.3934/math.20231447
URL الوصول: https://doaj.org/article/8971b1f2fc1f4ad6abc4de35b3468a22
رقم الأكسشن: edsdoj.8971b1f2fc1f4ad6abc4de35b3468a22
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:24736988
DOI:10.3934/math.20231447?viewType=HTML