Chaotic Attractors with Fractional Conformable Derivatives in the Liouville-Caputo Sense and Its Dynamical Behaviors
Date
2018
Journal Title
Journal ISSN
Volume Title
Publisher
MDPI
Open Access Color
OpenAIRE Downloads
OpenAIRE Views
Abstract
This paper deals with a numerical simulation of fractional conformable attractors of type Rabinovich-Fabrikant, Thomas' cyclically symmetric attractor and Newton-Leipnik. Fractional conformable and beta-conformable derivatives of Liouville-Caputo type are considered to solve the proposed systems. A numerical method based on the Adams-Moulton algorithm is employed to approximate the numerical simulations of the fractional-order conformable attractors. The results of the new type of fractional conformable and beta-conformable attractors are provided to illustrate the effectiveness of the proposed method.
Description
Keywords
Fractional Calculus, Fractional Conformable Derivative, Fractional Beta-Conformable Derivative, Chaos, Adams-Moulton Scheme
Turkish CoHE Thesis Center URL
Fields of Science
Citation
Solis Perez, Jesus Emmanuel...et al. (2018). Chaotic Attractors with Fractional Conformable Derivatives in the Liouville-Caputo Sense and Its Dynamical Behaviors, Entropy, 20(5).
WoS Q
Scopus Q
Source
Entropy
Volume
20
Issue
5