Numerical Computation of Optimal Control Problems with Atangana–Baleanu Fractional Derivatives

In this paper, a computational method is proposed for solving a class of fractional optimal control problems subject to canonical constraints of equality and inequality. Fractional derivatives are described in the Atangana–Baleanu-Caputo sense, and their fractional orders can be different. To solve...

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Bibliographic Details
Published in:	Journal of optimization theory and applications Vol. 197; no. 2; pp. 798 - 816
Main Authors:	Liu, Chongyang, Yu, Changjun, Gong, Zhaohua, Cheong, Huey Tyng, Teo, Kok Lay
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.05.2023 Springer Nature B.V
Subjects:	Algorithms Applications of Mathematics Calculus of Variations and Optimal Control; Optimization Discretization Engineering Mathematics Mathematics and Statistics Methods Numerical analysis Numerical integration Operations Research/Decision Theory Optimal control Optimization Optimization algorithms Optimization techniques Polynomials Theory of Computation Fractional optimal control Atangana–Baleanu derivative Optimization algorithm 90C55 34K37 49M37 Discretization scheme
ISSN:	0022-3239, 1573-2878
Online Access:	Get full text
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