Dynamical behaviors of the special fractional-order Chen-Lee system
Mihai Ivan
TL;DR
This paper investigates the fractional-order Chen-Lee system, analyzing solution existence, stability, control stabilization, and numerical methods to understand its complex dynamical behaviors.
Contribution
It introduces a fractional-order model of the Chen-Lee system and explores its stability, control, and numerical solutions, which are novel in this context.
Findings
Existence and uniqueness of solutions established.
Asymptotic stability of equilibrium states demonstrated.
Control strategies for stabilization developed.
Abstract
The main purpose of this paper is to study the special fractional-order Chen-Lee system, using the Caputo fractional derivatives. For this fractional model we investigate the existence and uniqueness of solution of initial value problem, asymptotic stability of its equilibrium states, stabilization problem using appropriate control and numerical integration.
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Taxonomy
TopicsFractional Differential Equations Solutions · Mathematical and Theoretical Epidemiology and Ecology Models · Advanced Differential Equations and Dynamical Systems