Vestnik KRAUNC. Fiziko-Matematicheskie Nauki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Vestnik KRAUNC. Fiz.-Mat. Nauki:
Year:
Volume:
Issue:
Page:
Find






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


Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2019, Volume 26, Number 1, Pages 46–53
DOI: https://doi.org/10.26117/2079-6641-2019-26-1-46-53
(Mi vkam340)
 

MATHEMATICAL MODELING

Mathematical model of dynamics of small enterprises with account of memory effects

E. A. Gafurova, Y. L. Michaylov, Y. V. Grushko, R. I. Parovik, I. A. Kashutina

Vitus Bering Kamchatka State University, 683031, Petropavlovsk-Kamchatsky, Pogranichnaya st., 4, Russia
References:
Abstract: The paper proposes a new mathematical model of the dynamics of small enterprises with the participation of foreign investment, which takes into account the memory effect and affects the rate of change in the value of production assets. This memory effect can be considered as a property of the economic environment, for example, the influence on the production of external factors, in which the cost of production assets will depend on its previous values. This non-local effect can be written in terms of a fractional order derivative. In this paper, we will assume that the order of the fractional derivative is a function of time. Therefore, we will solve the initial model equation using numerical methods of the theory of finite difference schemes. Further, in the work, visualization and interpretation of the calculation result was carried out.
Keywords: small enterprise dynamics, memory, model, fractional derivative.
Received: 06.03.2019
Bibliographic databases:
Document Type: Article
UDC: 512.24
MSC: 37N10
Language: Russian
Citation: E. A. Gafurova, Y. L. Michaylov, Y. V. Grushko, R. I. Parovik, I. A. Kashutina, “Mathematical model of dynamics of small enterprises with account of memory effects”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 26:1 (2019), 46–53
Citation in format AMSBIB
\Bibitem{GafMicGru19}
\by E.~A.~Gafurova, Y.~L.~Michaylov, Y.~V.~Grushko, R.~I.~Parovik, I.~A.~Kashutina
\paper Mathematical model of dynamics of small enterprises with account of memory effects
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2019
\vol 26
\issue 1
\pages 46--53
\mathnet{http://mi.mathnet.ru/vkam340}
\crossref{https://doi.org/10.26117/2079-6641-2019-26-1-46-53}
\elib{https://elibrary.ru/item.asp?id=38190073}
Linking options:
  • https://www.mathnet.ru/eng/vkam340
  • https://www.mathnet.ru/eng/vkam/v26/i1/p46
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Vestnik KRAUNC. Fiziko-Matematicheskie Nauki Vestnik KRAUNC. Fiziko-Matematicheskie Nauki
    Statistics & downloads:
    Abstract page:149
    Full-text PDF :50
    References:28
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024