Siberian Journal of Pure and Applied Mathematics
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


Sib. J. Pure and Appl. Math.:
Year:
Volume:
Issue:
Page:
Find




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

Siberian Journal of Pure and Applied Mathematics, 2016, Volume 16, Issue 3, Pages 61–74
DOI: https://doi.org/10.17377/PAM.2016.16.306 (Mi vngu411) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Strong solutions of a nonlinear degenerate fractional order evolution equation

M. V. Plekhanovaab

a Chelyabinsk State University
b South Ural State University, Chelyabinsk
Full-text PDF (227 kB) Citations (14)
References:
PDF
HTML
DOI: https://doi.org/10.17377/PAM.2016.16.306
Abstract: Unique solvability conditions in the class of strong solutions are obtained for initial value problems to a degenerate evolution equation, not solvable with respect to the fractional derivative. General results are applied to research of an initial boundary value problem for the equations system describing the fractional model of viscoelastic Kelvin–Voigt fluid.
Keywords: degenerate evolution equation, fractional Caputo derivative, nonlinear equation, initial boundary value problem, fractional model of viscoelastic fluid.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.Z50.31.0020
Received: 26.12.2015
English version:
Journal of Mathematical Sciences, 2018, Volume 230, Issue 1, Pages 146–158
DOI: https://doi.org/10.1007/s10958-018-3734-z
Document Type: Article
UDC: 517.9
Language: Russian
Citation: M. V. Plekhanova, “Strong solutions of a nonlinear degenerate fractional order evolution equation”, Sib. J. Pure and Appl. Math., 16:3 (2016), 61–74; J. Math. Sci., 230:1 (2018), 146–158
Citation in format AMSBIB
\Bibitem{Ple16}
\by M.~V.~Plekhanova
\paper Strong solutions of a nonlinear degenerate fractional order evolution equation
\jour Sib. J. Pure and Appl. Math.
\yr 2016
\vol 16
\issue 3
\pages 61--74
\mathnet{http://mi.mathnet.ru/vngu411}
\crossref{https://doi.org/10.17377/PAM.2016.16.306}
\transl
\jour J. Math. Sci.
\yr 2018
\vol 230
\issue 1
\pages 146--158
\crossref{https://doi.org/10.1007/s10958-018-3734-z}
Linking options:
  • https://www.mathnet.ru/eng/vngu411
  • https://www.mathnet.ru/eng/vngu/v16/i3/p61
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал чистой и прикладной математики
    Statistics & downloads:
    Abstract page:180
    Full-text PDF :54
    References:35
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024