Robust control for variable order time fractional butterfly- shaped chaotic attractor system

Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_APRIE-7-4_007

تاریخ نمایه سازی: 17 فروردین 1400

Abstract:

In this article, we investigated the robust control approach for variable-order fractional time fractional butterfly- shaped chaotic attractor system that the fractional derivative is considered in Atangana-Baleanu-Caputo sense. We show the computational algorithm with high accuracy for solving the proposed systems. For the suggested system, Adams-Bashforth-Moulton approach applied for converting the system of the equations into a system of linear or nonlinear algebraic equations. The existence and uniqueness of the solution are shown and also asymptotically stable is investigated in this article. At the end, a number of statistical indicators were presented in order efficiency, accuracy and simple applicability of the proposed method.

Keywords:

variable-order fractional derivatives , Adams numerical scheme , Butterfly- Shaped Chaotic Attractor System , Robust Control

Authors

Anis Shabani

Department of Applied Mathematics, Faculty of Mathematical Sciences, Lahijan Branch, Islamic Azad University, Lahijan, Iran.

Amir Hossein Refahi Sheikhani

Department of Applied Mathematics, Faculty of Mathematical Sciences, Lahijan Branch, Islamic Azad University, Lahijan, Iran.

Hossein Aminikhah

Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran.

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