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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 149, Pages 72–83 (Mi into320)  
This article is cited in 2 scientific papers (total in 2 papers)

Optimal Control Problems for Linear Degenerate Fractional Equations

M. V. Plekhanovaab

a Chelyabinsk State University
b South Ural State University, Chelyabinsk
Full-text PDF (238 kB) Citations (2)
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Abstract: Optimal control problems for a linear degenerate evolution equation that is not solvable with respect to the fractional Gerasimov–Caputo derivative are investigated in this paper. Solvability conditions for distributed control problems with various quality functionals are obtained. Abstract results is are applied to the control problem for the system of equations of gravitational-gyroscopic waves.
Keywords: optimal control, degenerate evolution equation, fractional differential equation, Caputo derivative.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation Постановление № 211 от 16.03.2013, соглашение № 02.A03.21.0011
№ 1.6462.2017/БЧ
This work was supported by the Government of the Russian Federation (Resolution No. 211, 16.03.2013; Agreement No. 02.A03.21.0011) and the Ministry of Education and Science of the Russian Federation (project No. 1.6462.2017/BCh).
English version:
Journal of Mathematical Sciences (New York), 2020, Volume 250, Issue 5, Pages 788–799
DOI: https://doi.org/10.1007/s10958-020-05044-0
Bibliographic databases:
Document Type: Article
UDC: 517.97
MSC: 49J20, 34G10, 35R11
Language: Russian
Citation: M. V. Plekhanova, “Optimal Control Problems for Linear Degenerate Fractional Equations”, Proceedings of the International Conference “Actual Problems of Applied Mathematics and Physics,” Kabardino-Balkaria, Nalchik, May 17–21, 2017, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 149, VINITI, Moscow, 2018, 72–83; J. Math. Sci. (N. Y.), 250:5 (2020), 788–799
Citation in format AMSBIB
\Bibitem{Ple18}
\by M.~V.~Plekhanova
\paper Optimal Control Problems for Linear Degenerate Fractional Equations
\inbook Proceedings of the International Conference ``Actual Problems of Applied Mathematics and Physics,'' Kabardino-Balkaria, Nalchik, May 17--21, 2017
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 149
\pages 72--83
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into320}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3847726}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2020
\vol 250
\issue 5
\pages 788--799
\crossref{https://doi.org/10.1007/s10958-020-05044-0}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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