Ural Mathematical Journal
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



Ural Math. J.:
Year:
Volume:
Issue:
Page:
Find






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


Ural Mathematical Journal, 2016, Volume 2, Issue 2, Pages 58–71
DOI: https://doi.org/10.15826/umj.2016.2.006
(Mi umj21)
 

This article is cited in 7 scientific papers (total in 7 papers)

Degenerate distributed control systems with fractional time derivative

Marina V. Plekhanovaab

a Computational Mechanics Department, South Ural State University, Chelyabinsk, Russia
b Laboratory of Quantum Topology, Mathematical Analysis Department, Chelyabinsk State University, Chelyabinsk, Russia
Full-text PDF (124 kB) Citations (7)
References:
Abstract: The existence of a unique strong solution for the Cauchy problem to semilinear nondegenerate fractional dierential equation and for the generalized Showalter - Sidorov problem to semilinear fractional dierential equation with degenerate operator at the Caputo derivative in Banach spaces is proved. These results are used for search of solution existence conditions for a class of optimal control problems to a system described by the degenerate semilinear fractional evolution equation. Abstract results are applied to the research of an optimal control problem solvability for the equations system of Kelvin-Voigt fractional viscoelastic fluids.
Keywords: Fractional differential calculus, Caputo deivative, Mittag-Leffer function, Partial differentialequation, Degenerate evolution equation, (L,p)-bounded operator, Optimal control, Fractional viscoelastic fluid.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.Z50.31.0020
The work is supported by Laboratory of Quantum Topology of Chelyabinsk State University (Russian Federation government grant 14.Z50.31.0020).
Bibliographic databases:
Document Type: Article
Language: English
Citation: Marina V. Plekhanova, “Degenerate distributed control systems with fractional time derivative”, Ural Math. J., 2:2 (2016), 58–71
Citation in format AMSBIB
\Bibitem{Ple16}
\by Marina~V.~Plekhanova
\paper Degenerate distributed control systems with fractional time derivative
\jour Ural Math. J.
\yr 2016
\vol 2
\issue 2
\pages 58--71
\mathnet{http://mi.mathnet.ru/umj21}
\crossref{https://doi.org/10.15826/umj.2016.2.006}
\zmath{https://zbmath.org/?q=an:1424.49007}
\elib{https://elibrary.ru/item.asp?id=27447886}
Linking options:
  • https://www.mathnet.ru/eng/umj21
  • https://www.mathnet.ru/eng/umj/v2/i2/p58
  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Ural Mathematical Journal
    Statistics & downloads:
    Abstract page:3458
    Full-text PDF :95
    References:39
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024