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, 2018, Number 3(23), Pages 48–56
DOI: https://doi.org/10.18454/2079-6641-2018-23-3-48-56 (Mi vkam254) 		 
FRACTIONAL CALCULUS AND ITS APPLICATION

Cauchy problem for ordinary differential equation with discretely distributed fractional differentiation operator

L. Kh. Gadzova

Institute of Applied Mathematics and Automation, 360000, Nalchik, Shortanova st., 89A, Russia
Full-text PDF (228 kB)
References:
PDF
HTML
DOI: https://doi.org/10.18454/2079-6641-2018-23-3-48-56
Abstract: We consider an initial value problem for ordinary differential equation with discretely distributed fractional differentiation operator. We give the Lagrange formula, prove the existence and uniqueness theorem and construct an explicit form of solution.
Keywords: fundamental solution, Cauchy problem, fractional differentiation operator, Caputo derivative.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00462-А
This work was financially supported by the Russian Foundation for Basic Research (project No. 16-01-00462-A).
Received: 08.06.2018
Bibliographic databases:
Document Type: Article
UDC: 517.91
MSC: 34L99
Language: Russian
Citation: L. Kh. Gadzova, “Cauchy problem for ordinary differential equation with discretely distributed fractional differentiation operator”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2018, no. 3(23), 48–56
Citation in format AMSBIB
\Bibitem{Gad18}
\by L.~Kh.~Gadzova
\paper Cauchy problem for ordinary differential equation with discretely distributed fractional differentiation operator
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2018
\issue 3(23)
\pages 48--56
\mathnet{http://mi.mathnet.ru/vkam254}
\crossref{https://doi.org/10.18454/2079-6641-2018-23-3-48-56}
\elib{https://elibrary.ru/item.asp?id=35604469}
Linking options:
  • https://www.mathnet.ru/eng/vkam254
  • https://www.mathnet.ru/eng/vkam/y2018/i3/p48
    • 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:243
    Full-text PDF :56
    References:27
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024