On three-dimensional variable order time fractional chaotic system with nonsingular kernel
Abstract
We use the Adams-Bashforth-Moulton scheme (ABMS) to determine the approximate solution of a variable order fractional three-dimensional chaotic process. The derivative is defined in the fractional sense of variable order Atangana-Baleanu-Caputo (ABC). Numerical examples show that to solve these variable-order fractional differential equations easily and efficiently, the Adams-Bashforth-Moulton method can be implemented. Lastly, simulation results demonstrate the proposed robust control's effectiveness.
- Publication:
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Chaos Solitons and Fractals
- Pub Date:
- April 2020
- DOI:
- 10.1016/j.chaos.2020.109628
- Bibcode:
- 2020CSF...13309628H
- Keywords:
-
- Adams numerical scheme;
- Variable-order fractional derivatives;
- Robust control;
- Chaotic system