Journal of Siberian Federal University. Mathematics & Physics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



J. Sib. Fed. Univ. Math. Phys.:
Year:
Volume:
Issue:
Page:
Find






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


Journal of Siberian Federal University. Mathematics & Physics, 2015, Volume 8, Issue 1, Pages 55–63 (Mi jsfu406)  

This article is cited in 16 scientific papers (total in 16 papers)

Parameter determination in a differential equation of fractional order with Riemann–Liouville fractional derivative in a Hilbert space

Dmitry G. Orlovsky

National Research Nuclear University MEPhI, Kashirskoye shosse, 31, Moscow, 115409, Russia
References:
Abstract: The Cauchy type problem for a differential equation with fractional derivative and self-adjoint operator in a Hilbert space is considered. The problem of parameter determination in equation by the value of the solution at a fixed point is presented. Theorems of existence and uniqueness of the solution are proved.
Keywords: equation of fractional order, Hilbert space, self-adjoint operator, Cauchy-type problem, Mittag–Leffler function, inverse problem, characteristic function.
Received: 10.10.2014
Received in revised form: 20.11.2014
Accepted: 15.12.2014
Document Type: Article
UDC: 517.986.7
Language: English
Citation: Dmitry G. Orlovsky, “Parameter determination in a differential equation of fractional order with Riemann–Liouville fractional derivative in a Hilbert space”, J. Sib. Fed. Univ. Math. Phys., 8:1 (2015), 55–63
Citation in format AMSBIB
\Bibitem{Orl15}
\by Dmitry~G.~Orlovsky
\paper Parameter determination in a differential equation of fractional order with Riemann--Liouville fractional derivative in a Hilbert space
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2015
\vol 8
\issue 1
\pages 55--63
\mathnet{http://mi.mathnet.ru/jsfu406}
Linking options:
  • https://www.mathnet.ru/eng/jsfu406
  • https://www.mathnet.ru/eng/jsfu/v8/i1/p55
  • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал Сибирского федерального университета. Серия "Математика и физика"
    Statistics & downloads:
    Abstract page:396
    Full-text PDF :129
    References:53
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024