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Chebyshev Cardinal Functions for A New Class of Nonlinear Optimal Control Problems With Dynamical Systems of Weakly Singular Variable-Order Fractional Integral Equations

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dc.contributor.author Heydari, Mohammad Hossein
dc.contributor.author Mahmoudi, Mohammad Reza
dc.contributor.author Avazzadeh, Zakieh
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-05-18T08:23:09Z
dc.date.available 2020-05-18T08:23:09Z
dc.date.issued 2020-05-01
dc.identifier.citation Heydari, M.H...et al. (2020). "Chebyshev Cardinal Functions for A New Class of Nonlinear Optimal Control Problems With Dynamical Systems of Weakly Singular Variable-Order Fractional Integral Equations",Jvc/Journal of Vibration and Control, Vol. 26, No. 9, pp. 713-723. tr_TR
dc.identifier.issn 10775463
dc.identifier.uri http://hdl.handle.net/20.500.12416/3893
dc.description.abstract The main objectives of this study are to introduce a new class of optimal control problems governed by a dynamical system of weakly singular variable-order fractional integral equations and to establish a computational method by utilizing the Chebyshev cardinal functions for their numerical solutions. In this way, a new operational matrix of variable-order fractional integration is generated for the Chebyshev cardinal functions. In the established method, first the control and state variables are approximated by the introduced basis functions. Then, the interpolation property of these basis functions together with their mentioned operational matrix is applied to derive an algebraic equation instead of the objective function and an algebraic system of equations instead of the dynamical system. Eventually, the constrained extrema technique is applied by adjoining the constraints generated from the dynamical system to the objective function using a set of Lagrange multipliers. The accuracy of the established approach is examined through several test problems. The obtained results confirm the high accuracy of the presented method. tr_TR
dc.language.iso eng tr_TR
dc.publisher Sage Publications INC tr_TR
dc.relation.isversionof 10.1177/1077546319889862 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Operational Matrix tr_TR
dc.subject Chebyshev Cardinal Functions tr_TR
dc.subject Variable-Order Fractional Calculus tr_TR
dc.subject Optimal Control Problems tr_TR
dc.subject Weakly Singular Variable-Order Fractional Dynamical System tr_TR
dc.title Chebyshev Cardinal Functions for A New Class of Nonlinear Optimal Control Problems With Dynamical Systems of Weakly Singular Variable-Order Fractional Integral Equations tr_TR
dc.type article tr_TR
dc.relation.journal Jvc/Journal of Vibration and Control tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 26 tr_TR
dc.identifier.issue 9 tr_TR
dc.identifier.startpage 713 tr_TR
dc.identifier.endpage 723 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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