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A fractional order optimal 4D chaotic financial model with Mittag-Leffler law

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dc.contributor.author Atangana A.
dc.contributor.author Bonyah E.
dc.contributor.author Elsadany A.A.
dc.date.accessioned 2022-10-31T15:05:21Z
dc.date.available 2022-10-31T15:05:21Z
dc.date.issued 2020
dc.identifier.issn 5779073
dc.identifier.other 10.1016/j.cjph.2020.02.003
dc.identifier.uri http://41.74.91.244:8080/handle/123456789/384
dc.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 en_US
dc.description.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) en_US
dc.publisher Physical Society of the Republic of China en_US
dc.subject Chaotic systems en_US
dc.subject Euler-Lagrange optimality en_US
dc.subject Financial model en_US
dc.subject Fractional optimal control en_US
dc.subject Mittag-Leffler function en_US
dc.title A fractional order optimal 4D chaotic financial model with Mittag-Leffler law en_US
dc.type Article en_US


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