The main aim of this paper is to investigate the dynamics of the fractional-order Lorenz system within a unified computational framework using both semi-analytical and numerical approaches. The Laplace Residual Power Series Method (LRPSM) is employed to obtain computationally efficient semi-analytical solutions, while...
Mohamed Elbadri, Nidal E. Taha, Walid Hdidi et al.· Symmetry· 0 citations
The analysis of the complexity of dynamical systems generally presents a major dilemma between including the complexity of memory effects and being computationally efficient. For this purpose, this study proposes an unusual three-dimensional variable-order fractional chaotic system with absolute-value nonlinearity, whi...
Abdulrahman B. M. Alzahrani, Mohamed A. Abdoon· Fractal and Fractional· 0 citations
In this paper, a novel four-dimensional variable-order fractional chaotic system is presented through the use of the Liouville–Caputo variable-order fractional derivative to represent the time-varying memory properties of nonlinear dynamical behaviors. Special attention will be paid to the chaotic behavior of the propo...
Mohamed Elbadri, Nidal E. Taha, Walid Hdidi et al.· Symmetry· 0 citations
In this study, we develop a novel variable-order fractional extension of an eight-dimensional (8D) hyperchaotic differential equation system modeled via the Liouville–Caputo operator. Moving beyond constant fractional-order models, our system implements time-variable orders, which enable its historical memory structure...
K. Khashan, D. Elgezouli, Mohamed A. Abdoon· Mathematics· 0 citations
Four-dimensional chaotic systems have garnered significant attention due to their complex nonlinear dynamics, high-dimensional complexity, and wide range of applications in science and engineering. This paper proposes and investigates a novel four-dimensional chaotic system in both constant- and variable-order framewor...
Abdulrahman B. M. Alzahrani, Mohamed A. Abdoon· Mathematics· 0 citations
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