Title | ||
---|---|---|
Chaotic Attractors with Fractional Conformable Derivatives in the Liouville-Caputo Sense and Its Dynamical Behaviors. |
Abstract | ||
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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 |
Name | Order | Citations | PageRank |
---|---|---|---|
Jesús Emmanuel Solís Pérez | 1 | 0 | 0.34 |
José Francisco Gómez-Aguilar | 2 | 16 | 5.66 |
Dumitru Baleanu | 3 | 338 | 78.57 |
Fairouz Tchier | 4 | 58 | 8.95 |