Title
Chaotic Attractors with Fractional Conformable Derivatives in the Liouville-Caputo Sense and Its Dynamical Behaviors.
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.
Year
DOI
Venue
2018
10.3390/e20050384
ENTROPY
Keywords
Field
DocType
fractional calculus,fractional conformable derivative,fractional beta-conformable derivative,chaos,Adams-Moulton scheme
Attractor,Applied mathematics,Mathematical optimization,Computer simulation,Conformable matrix,Fractional calculus,Numerical analysis,Chaotic,Mathematics
Journal
Volume
Issue
ISSN
20
5
1099-4300
Citations 
PageRank 
References 
0
0.34
8
Authors
4