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Tytuł artykułu

Control of chaos in the burke-shaw system of fractal-fractional order in the sense of Caputo-Fabrizio

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
For the Burke-Shaw system, we propose a fractal-fractional order in the sense of the Caputo-Fabrizio derivative. The proposed system is solved by utilizing the fractal-fractional derivative operator with an exponential decay kernel. Time-fractional Caputo-Fabrizio fractal fractional derivatives are applied to the Burke-Shaw-type nonlinear chaotic systems.Based on fixed point theory, it has been demonstrated that a fractal-fractional-order model under the Caputo-Fabrizio operator exists and is unique. Using a numerical power series method, we solve the fractional Burke-Shaw model. Using Newton’s interpolation polynomial, we solve the equation numerically by implementing a novel numerical scheme based on an efficient polynomial.
Rocznik
Strony
83--96
Opis fizyczny
Bibliogr. 43 poz., rys.
Twórcy
autor
  • Department of Mathematics, Al-Baha University Baljurashi, Saudi Arabia
Bibliografia
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Uwagi
Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-83e702fd-4e69-467f-8b42-05c04da70290
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