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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 149, Pages 84–94 (Mi into321)  
This article is cited in 5 scientific papers (total in 5 papers)

On Stabilization of Solutions of the Cauchy Problem for Fractional Diffusion-Wave Equation

A. V. Pskhu

Institute of Applied Mathematics and Automation, Nalchik
Full-text PDF (216 kB) Citations (5)
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Abstract: Problems on the asymptotic behavior of solutions to the Cauchy problems for a fractional diffusion-wave equation for large values of time are examined. Sufficient conditions of stabilization in the class of rapidly growing functions and necessary and sufficient conditions of stabilization to zero in the case of asymptotically nonnegative initial functions are found.
Keywords: fractional diffusion-wave equation, stabilization, Cauchy problem, fractional derivative, Dzhrbashyan–Nersesyan operator.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00462
This work was supported by the Russian Foundation for Basic Research (project No. 16-01-00462).
English version:
Journal of Mathematical Sciences (New York), 2020, Volume 250, Issue 5, Pages 800–810
DOI: https://doi.org/10.1007/s10958-020-05045-z
Bibliographic databases:
Document Type: Article
UDC: 517.956.8, 517.955
MSC: 35R11, 35B40
Language: Russian
Citation: A. V. Pskhu, “On Stabilization of Solutions of the Cauchy Problem for Fractional Diffusion-Wave Equation”, 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, 84–94; J. Math. Sci. (N. Y.), 250:5 (2020), 800–810
Citation in format AMSBIB
\Bibitem{Psk18}
\by A.~V.~Pskhu
\paper On Stabilization of Solutions of the Cauchy Problem for Fractional Diffusion-Wave Equation
\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 84--94
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into321}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3847727}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2020
\vol 250
\issue 5
\pages 800--810
\crossref{https://doi.org/10.1007/s10958-020-05045-z}
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    • This publication is cited in the following 5 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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