Abstract:
In this paper, a fractional 4D chaotic financial model with optimal control is investigated. The fractional derivative used in this financial model is Atangana�Baleanu derivative. The existence and uniqueness conditions of solutions for the proposed model are derived based on Mittag-Leffler law. Optimal control is incorporated into the model to maximize output. The Adams�Moulton scheme of the Atangana�Baleanu derivative is utilized to obtain the numerical results which produce new attractors. Euler-Lagrange optimality conditions are determined for the fractional 4D chaotic financial model. The numerical results show that the memory factor has a great influences on the dynamics of the model. � 2020 The Physical Society of the Republic of China (Taiwan)
Description:
Atangana, A., Institute for Groundwater Studies, University of the Free State, Bloemfontein, 9301, South Africa; Bonyah, E., Department of Mathematics, University of Education Winneba (Kumasi campus), Ghana; Elsadany, A.A., Mathematics Department, College of Sciences and Humanities Studies Al-Kharj, Prince Sattam Bin Abdulaziz University, Saudi Arabia, Department of Basic Science, Faculty of Computers and Informatics, Suez Canal University, Ismailia, 41522, Egypt