Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Editorial staff
Guidelines for authors
License agreement
Editorial policy

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
Year:
Volume:
Issue:
Page:
Find




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

Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2012, Issue 1(26), Pages 157–165
DOI: https://doi.org/10.14498/vsgtu997 (Mi vsgtu997) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical Modeling

Parametric identification of Cauchy problem for one fractional differential equation

A. S. Ovsienko

Samara State Technical University, Samara, Russia
Full-text PDF (621 kB) Citations (1)
(published under the terms of the Creative Commons Attribution 4.0 International License)
References:
PDF
HTML
DOI: https://doi.org/10.14498/vsgtu997
Abstract: The method for parametric identification of Cauchy problem for a fractional differential equation with fractional differential operator of $\alpha \in (0, 1)$ degree according to instantaneous values of experimental observations is suggested. The method is based on computation of mean-square estimations for coefficients of linear parametric discrete model of approximation function. Numerically-analytical investigations have been done, the results let us conclude about high efficiency of the method.
Keywords: fractional differential operators, parametric identification, linear parametric discrete model, difference equation.
Original article submitted 13/IX/2011
revision submitted – 20/II/2012
Bibliographic databases:
Document Type: Article
UDC: 519.248: 681.5.001.3
MSC: Primary 65P40; Secondary 37M05, 26A33
Language: Russian
Citation: A. S. Ovsienko, “Parametric identification of Cauchy problem for one fractional differential equation”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(26) (2012), 157–165
Citation in format AMSBIB
\Bibitem{Ovs12}
\by A.~S.~Ovsienko
\paper Parametric identification of Cauchy problem for one fractional differential equation
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2012
\vol 1(26)
\pages 157--165
\mathnet{http://mi.mathnet.ru/vsgtu997}
\crossref{https://doi.org/10.14498/vsgtu997}
Linking options:
  • https://www.mathnet.ru/eng/vsgtu997
  • https://www.mathnet.ru/eng/vsgtu/v126/p157
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
    Statistics & downloads:
    Abstract page:497
    Full-text PDF :240
    References:60
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024