THERMAL SCIENCE

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Najat Almutairi

AN APPLICATION OF FRACTAL FRACTIONAL OPERATORS TO NON-LINEAR CHEN SYSTEMS

ABSTRACT
This paper employs the Atangana-Baleanu fractal-fractional operators to establish whether chaotic behavior is present or not in a non-linear modified Chen. The Chen exists and is unique under fixed point theory. To illustrate the applicability and efficiency of this method, numerical examples are provided to provide a better understanding of it. To verify the results in this paper, a circuit schematic has been drawn and a simulation has been conducted.
KEYWORDS
fractional derivatives, non-linear equations, simulation, numerical results, iterative method, time varying control system, Lyapunov functions
PAPER SUBMITTED: 2024-06-12
PAPER REVISED: 2024-09-10
PAPER ACCEPTED: 2024-10-11
PUBLISHED ONLINE: 2025-01-25
DOI REFERENCE: https://doi.org/10.2298/TSCI2406169A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2024, VOLUME 28, ISSUE Issue 6, PAGES [5169 - 5178]
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An application of fractal fractional operators to non-linear Chen systems

2025 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence