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Author

Mohamed A. Abdoon

5 papers indexed here

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Open access Sep 2026

A Comparative Numerical and Semi-Analytical Analysis of a Fractional-Order Symmetric Chaotic System Using SCFD and LRPSM

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. · 0 citations
Open access Sep 2026

Comparative Study of Constant- and Variable-Order Fractional Dynamics with RBFNN Approximation

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 · 0 citations
Open access Sep 2026

Symmetric Chaotic Behavior in 4D Variable-Order Fractional Systems Under Liouville–Caputo Operators

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. · 0 citations
Open access Jul 2026

Variable-Order Fractional Calculus-Based Chaos Analysis of a Novel Eight-Dimensional Hyperchaotic System

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 · 0 citations
Open access Aug 2026

Dynamics of a Novel 4D Chaotic System: Stability, Bifurcation, Chaos, and Complexity Analysis for Constant and Variable Fractional Orders

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 · 0 citations

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