Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 149, Pages 44–55 (Mi into317)  
Boundary-Value Problems for a Wave Equation of Fractional Order

M. A. Kerefov, B. M. Kerefov

Kabardino-Balkar State University, Nal'chik
Full-text PDF (380 kB)
References:
PDF
HTML
Abstract: A nonlocal wave equation with variable coefficients in a rectangular domain is considered. The first and third boundary-value problems in the differential form are examined; the method of lines in the difference form is applied for solving these problems. For the system of difference equations with constant coefficients arising from the method of lines, a solution is obtained.
Keywords: nonlocal wave equation, fractional derivative, method of lines, a priori estimate.
English version:
Journal of Mathematical Sciences (New York), 2020, Volume 250, Issue 5, Pages 760–771
DOI: https://doi.org/10.1007/s10958-020-05041-3
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 35L99
Language: Russian
Citation: M. A. Kerefov, B. M. Kerefov, “Boundary-Value Problems for a Wave Equation of Fractional Order”, 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, 44–55; J. Math. Sci. (N. Y.), 250:5 (2020), 760–771
Citation in format AMSBIB
\Bibitem{KerKer18}
\by M.~A.~Kerefov, B.~M.~Kerefov
\paper Boundary-Value Problems for a Wave Equation of Fractional Order
\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 44--55
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into317}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3847723}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2020
\vol 250
\issue 5
\pages 760--771
\crossref{https://doi.org/10.1007/s10958-020-05041-3}
Linking options:
  • https://www.mathnet.ru/eng/into317
  • https://www.mathnet.ru/eng/into/v149/p44
    • 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
    Statistics & downloads:
    Abstract page:245
    Full-text PDF :478
    References:32
    First page:10
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024