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A new formulation of the fractional optimal control problems involving mittag-leffler nonsingular kernel

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dc.contributor.author Baleanu, Dumitru
dc.contributor.author Jajarmi, Amin
dc.contributor.author Hajipour, Mojtaba
dc.date.accessioned 2020-02-28T11:53:21Z
dc.date.available 2020-02-28T11:53:21Z
dc.date.issued 2017-12
dc.identifier.citation Baleanu, Dumitru; Jajarmi, Amin; Hajipour, Mojtaba, "A new formulation of the fractional optimal control problems involving mittag-leffler nonsingular kernel", Journal Of Optimization Theory And Applications, Vol.175, No.3, pp.718-737, (2017). tr_TR
dc.identifier.issn 0022-3239
dc.identifier.uri http://hdl.handle.net/20.500.12416/2554
dc.description.abstract The aim of this paper is to propose a new formulation of the fractional optimal control problems involving Mittag-Leffler nonsingular kernel. By using the Lagrange multiplier within the calculus of variations and by applying the fractional integration by parts, the necessary optimality conditions are derived in terms of a nonlinear two-point fractional boundary value problem. Based on the convolution formula and generalized discrete Gronwall's inequality, the numerical scheme for solving this problem is developed and its convergence is proved. Numerical simulations and comparative results show that the suggested technique is efficient and provides satisfactory results. tr_TR
dc.language.iso eng tr_TR
dc.publisher Springer/Plenum Publishers tr_TR
dc.relation.isversionof 10.1007/s10957-017-1186-0 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Fractional Calculus tr_TR
dc.subject Mittag-Leffler Kernel tr_TR
dc.subject Fractional Optimal Control tr_TR
dc.subject Euler Method tr_TR
dc.title A new formulation of the fractional optimal control problems involving mittag-leffler nonsingular kernel tr_TR
dc.type article tr_TR
dc.relation.journal Journal Of Optimization Theory And Applications tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 175 tr_TR
dc.identifier.issue 3 tr_TR
dc.identifier.startpage 718 tr_TR
dc.identifier.endpage 737 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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