Numerical Solutions of Fractional Systems Using Bessel Artificial Neural Network Based Integrated Intelligent Computing

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dc.contributor.authorMariam Sultana
dc.contributor.authorUroosa Arshad
dc.contributor.authorAli Akgül
dc.contributor.authorM. Khalid
dc.date.accessioned2025-05-05T12:18:42Z
dc.date.available2025-05-05T12:18:42Z
dc.date.issued2025-03-28
dc.departmentFakülteler, Fen-Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractNowadays, 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.
dc.identifier.citationSultana, 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.
dc.identifier.doi10.1115/1.4068236
dc.identifier.issn1555-1415
dc.identifier.issn1555-1423
dc.identifier.issue5
dc.identifier.scopus2-s2.0-105003561936
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1115/1.4068236
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8644
dc.identifier.volume20
dc.identifier.wos001459781000005
dc.identifier.wosqualityQ3
dc.indekslendigikaynakScopus
dc.indekslendigikaynakWeb of Science
dc.institutionauthorAkgül, Ali
dc.institutionauthorid0000-0001-9832-1424
dc.publisherASME International
dc.relation.ispartofJournal of Computational and Nonlinear Dynamics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectartificial neural network technique
dc.subjectAtangana Baleanu Caputo fractional operator and system of fractional differential equations
dc.subjectBessel polynomials
dc.titleNumerical Solutions of Fractional Systems Using Bessel Artificial Neural Network Based Integrated Intelligent Computing
dc.typejournal-article
oaire.citation.issue5
oaire.citation.volume20

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