A Symmetry Chaotic Model with Fractional Derivative Order via Two Different Methods

Autor: Mohamed Elbadri, Mohamed A. Abdoon, Mohammed Berir, Dalal Khalid Almutairi
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Symmetry, Vol 15, Iss 6, p 1151 (2023)
Druh dokumentu: article
ISSN: 2073-8994
DOI: 10.3390/sym15061151
Popis: In this article, we have investigated solutions to a symmetry chaotic system with fractional derivative order using two different methods—the numerical scheme for the ABC fractional derivative, and the Laplace decomposition method, with help from the MATLAB and Mathematica platforms. We have explored progressive and efficient solutions to the chaotic model through the successful implementation of two mathematical methods. For the phase portrait of the model, the profiles of chaos are plotted by assigning values to the attached parameters. Hence, the offered techniques are relevant for advanced studies on other models. We believe that the unique techniques that have been proposed in this study will be applied in the future to build and simulate a wide range of fractional models, which can be used to address more challenging physics and engineering problems.
Databáze: Directory of Open Access Journals
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