@article { author = {Shabani, Anis and Refahi Sheikhani, Amir Hossein and Aminikhah, Hossein}, title = {Robust control for variable order time fractional butterfly- shaped chaotic attractor system}, journal = {Journal of Applied Research on Industrial Engineering}, volume = {7}, number = {4}, pages = {435-449}, year = {2020}, publisher = {Research Expansion Alliance (REA) on behalf of Ayandegan Institute of Higher Education}, issn = {2538-5100}, eissn = {2676-6167}, doi = {10.22105/jarie.2020.253993.1203}, 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}, url = {https://www.journal-aprie.com/article_120674.html}, eprint = {https://www.journal-aprie.com/article_120674_401308f641d255472cf3431a6ae54262.pdf} }