Chelyabinskiy Fiziko-Matematicheskiy Zhurnal
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


Chelyab. Fiz.-Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




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

Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2017, Volume 2, Issue 1, Pages 53–65 (Mi chfmj45)  
This article is cited in 6 scientific papers (total in 6 papers)

Mathematics

Solvability of control problems for degenerate evolution equations of fractional order

M. V. Plekhanovaab

a Chelyabinsk State University, Chelyabinsk, Russia
b South Ural State University (National Research University), Chelyabinsk, Russia
Full-text PDF (684 kB) Citations (6)
References:
PDF
HTML
Abstract: Solvability conditions are found for optimal control problems with various goal functionals for the distributed systems described by both linear and nonlinear equations not resolved with respect to the fractional time derivative of Gerasimov — Kaputo. Abstract results are applied for the research of optimal control problem to the equations system of the dynamics of the fractional viscoelastic Kelvin — Voigt body.
Keywords: optimal control, distributed control system, degenerate evolution equation, Gerasimov — Caputo fractional derivative.
Funding agency Grant number
Government of the Russian Federation 02.А03.21.0011
Ministry of Education and Science of the Russian Federation 1.6462.2017/БЧ
Received: 30.01.2017
Revised: 20.03.2017
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: M. V. Plekhanova, “Solvability of control problems for degenerate evolution equations of fractional order”, Chelyab. Fiz.-Mat. Zh., 2:1 (2017), 53–65
Citation in format AMSBIB
\Bibitem{Ple17}
\by M.~V.~Plekhanova
\paper Solvability of control problems for degenerate evolution equations of fractional order
\jour Chelyab. Fiz.-Mat. Zh.
\yr 2017
\vol 2
\issue 1
\pages 53--65
\mathnet{http://mi.mathnet.ru/chfmj45}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3653291}
\elib{https://elibrary.ru/item.asp?id=29078327}
Linking options:
  • https://www.mathnet.ru/eng/chfmj45
  • https://www.mathnet.ru/eng/chfmj/v2/i1/p53
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Chelyabinskiy Fiziko-Matematicheskiy Zhurnal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024