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

• Autorzy: Saber Sayed

Identyfikatory

DOI

10.17512/jamcm.2024.1.07

• 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.

Słowa kluczowe

EN

fractional derivatives; nonlinear equations; simulation; numerical results; iterative method

PL

pochodne ułamkowe; równania nieliniowe; symulacja; metoda iteracyjna

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2024
• Tom: Vol. 23, nr 1
• Strony: 83--96
• Opis fizyczny: Bibliogr. 43 poz., rys.

Twórcy

autor

Saber Sayed

• 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).