Warianty tytułu
Języki publikacji
Abstrakty
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
Tom
Strony
83-96
Opis fizyczny
Bibliogr. 43 poz., rys.
Twórcy
autor
- Department of Mathematics, Al-Baha University Baljurashi, Saudi Arabia, ssahmed@bu.edu.sa
Bibliografia
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- [10] Wang, X., & Tian, L. (2006). Bifurcation analysis and linear control of the Newton-Leipnik system. Chaos Solitons Fract., 27, 31-38.
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- [16] Lin, W. (2007). Global existence theory and chaos control of fractional difractal-fractionalerential equations. J. Math. Anal. Appl., 332, 709-726.
- [17] Zhu, H., Zhou, S., & He, Z. (2009). Chaos synchronization of the fractional-order Chen’s system. Chaos Solitons Fract., 41, 2733-2740.
- [18] Li, C.P., & Peng, G.J. (2004). Chaos in Chen’s system with a fractional order. Chaos Solitons Fract., 22, 443-450.
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- [22] Atangana, A., Akgül, A., & Owolabi, K.M. (2020). Analysis of fractal fractional difractal fractional erential equations. Alex. Eng. J., 59(3), 1117-1134.
- [23] Atangana, A. & Qureshi, S. (2019). Modeling attractors of chaotic dynamical systems with fractal-fractional operators. Chaos Solitons Fract., 123, 320-337.
- [24] Owolabi, K.M., Atangana, A., & Akgul, A. (2020). Modelling and analysis of fractal-fractional partial difractal-fractionalerential equations: application to reaction-difractal-fractionalusion model. Alex. Eng. J., 59(4), 2477-2490.
- [25] Khalid, I.A., Haroon, D.S., Youssif, M.Y., & Saber, S. (2023). Different strategies for diabetes by mathematical modeling: Modified minimal model. Alex. Eng. J., 80, 74-87.
- [26] Khalid, I.A., Haroon, D.S., Youssif, M.Y., & Saber, S. (2023). Different strategies for diabetes by mathematical modeling: Applications of fractal-fractional derivatives in the sense of Atangana-Baleanu. Res. Phys., 52, 106892.
- [27] Almutairi, N., Saber, S., & Hijaz, A. (2023). The fractal-fractional Atangana-Baleanu operator for pneumonia disease: stability, statistical and numerical analyses[J]. AIMS Mathematics, 8(12),29382-29410.
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- [29] Almutairi, N., & Saber, S. (2023). Application of a time-fractal fractional derivative with a power-law kernel to the Burke-Shaw system based on Newton’s interpolation polynomials. MethodsX.
- [30] Qureshi, S., & Zaib-un-Nisa, M. (2020). Monotonically decreasing behavior of measles epidemic well captured by Atangana-Baleanu-Caputo fractional operator under real measles data of Pakistan. Chaos Solitons Fract., 131, 109478.
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- [38] Alquran, M. (2023). Investigating the revisited generalized stochastic potential-KdV equation: fractional time-derivative against proportional time-delay. Roman. J. Phys., 68, 1-12, 106.
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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
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-83e702fd-4e69-467f-8b42-05c04da70290