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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2019, Volume 167, Pages 52–61
DOI: https://doi.org/10.36535/0233-6723-2019-167-52-61
(Mi into489)
 

This article is cited in 1 scientific paper (total in 1 paper)

Green function of the first boundary-value problem for the fractional diffusion wave equation in a multidimensional rectangular domain

A. V. Pskhu

Institute of Applied Mathematics and Automation, Nalchik
Full-text PDF (222 kB) Citations (1)
References:
Abstract: In this paper, the Green functions of the first boundary-value problem for the fractional diffusion wave equation in multidimensional (bounded and unbounded) hyper-rectangular domains are constructed.
Keywords: diffusion wave equation, Green function, fractional derivative, Dzhrbashyan–Nersesyan operator, boundary-value problem, Tikhonov condition.
Funding agency Grant number
Russian Foundation for Basic Research 18-51-45005
Bibliographic databases:
Document Type: Article
UDC: 517.956
MSC: 35R11, 35K20
Language: Russian
Citation: A. V. Pskhu, “Green function of the first boundary-value problem for the fractional diffusion wave equation in a multidimensional rectangular domain”, Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part III, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 167, VINITI, Moscow, 2019, 52–61
Citation in format AMSBIB
\Bibitem{Psk19}
\by A.~V.~Pskhu
\paper Green function of the first boundary-value problem for the fractional diffusion wave equation in a multidimensional rectangular domain
\inbook Proceedings of the IV International Scientific Conference "Actual Problems of Applied Mathematics". Kabardino-Balkar Republic, Nalchik, Elbrus Region, May 22–26, 2018. Part III
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2019
\vol 167
\pages 52--61
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into489}
\crossref{https://doi.org/10.36535/0233-6723-2019-167-52-61}
\elib{https://elibrary.ru/item.asp?id=42639694}
Linking options:
  • https://www.mathnet.ru/eng/into489
  • https://www.mathnet.ru/eng/into/v167/p52
  • This publication is cited in the following 1 articles:
    1. R. R. Ashurov, Yu. È. Fayziev, “Inverse Problem for Finding the Order of the Fractional Derivative in the Wave Equation”, Math. Notes, 110:6 (2021), 842–852  mathnet  crossref  crossref  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    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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    Abstract page:394
    Full-text PDF :241
    References:62
     
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