Numerical Solutions of Fractional Systems Using Bessel Artificial Neural Network Based Integrated Intelligent Computing
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Tarih
2025-03-28
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
ASME International
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Nowadays, fractional differential equations (FDE's), with their numerical solutions, are a developing area of research since differential equations of these sort are a frequent presence in different fields of physical sciences. In this research article, a Bessel Artificial Neural Network Technique (BANNT) has been presented to solve Systems of FDE's where fractional derivative operator (practiced here) is of a newly defined Atangana Baleanu Caputo (ABC) type. ABCFD is a modified version of caputo fractional derivative that helps in solving such systems of FDE's. This technique integrates knowledge about the FDE's into BANNT and the training sets. BANNT is being used repeatedly to solve different variety of problems addressing a wide range of disciplines. After developing the technique, the BANNT is applied to some system of differential equations of the Fractional Order. Numerous illustrations have been presented to elucidate the implementation and efficiency of the BANNT, and the numerical results obtained are then graphically plotted.
Açıklama
Anahtar Kelimeler
artificial neural network technique, Atangana Baleanu Caputo fractional operator and system of fractional differential equations, Bessel polynomials
Kaynak
Journal of Computational and Nonlinear Dynamics
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
20
Sayı
5
Künye
Sultana, M., Arshad, U., Akgül, A., & Khalid, M. (2025). Numerical Solutions of Fractional Systems Using Bessel Artificial Neural Network Based Integrated Intelligent Computing. Journal of Computational and Nonlinear Dynamics, 20(5), 051005.
