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A numerical approach for solving fractional optimal control problems with mittag-leffler kernel

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dc.contributor.author Jafari, Hossein
dc.contributor.author Ganji, Roghayeh M.
dc.contributor.author Sayevand, Khosro
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2022-03-04T12:22:09Z
dc.date.available 2022-03-04T12:22:09Z
dc.date.issued 2021-05
dc.identifier.citation Jafari, Hossein...et al. (2021). "A numerical approach for solving fractional optimal control problems with mittag-leffler kernel", Journal of Vibration and Control. tr_TR
dc.identifier.issn 1077-5463
dc.identifier.uri http://hdl.handle.net/20.500.12416/5071
dc.description.abstract In this work, we present a numerical approach based on the shifted Legendre polynomials for solving a class of fractional optimal control problems. The derivative is described in the Atangana-Baleanu derivative sense. To solve the problem, operational matrices of AB-fractional integration and multiplication, together with the Lagrange multiplier method for the constrained extremum, are considered. The method reduces the main problem to a system of nonlinear algebraic equations. In this framework by solving the obtained system, the approximate solution is calculated. An error estimate of the numerical solution is also proved for the approximate solution obtained by the proposed method. Finally, some illustrative examples are presented to demonstrate the accuracy and validity of the proposed scheme. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1177/10775463211016967 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Fractional Optimal Control Problems tr_TR
dc.subject Atangana–Baleanu Derivative tr_TR
dc.subject Shifted Legendre Polynomials tr_TR
dc.subject Operational Matrix tr_TR
dc.subject Lagrange Multiplier Method tr_TR
dc.title A numerical approach for solving fractional optimal control problems with mittag-leffler kernel tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Vibration and Control tr_TR
dc.contributor.authorID 56389 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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