Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
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


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 4, Pages 43–49 (Mi ivm9227)  
This article is cited in 1 scientific paper (total in 1 paper)

The problem with operators of fractional differentiation in boundary condition for mixed-type equation

O. A. Repina, S. K. Kumykovab

a Samara State Economic University, 141 Sovetskoi Armii str., Samara, 443090 Russia
b Kabardino-Balkarian State University, 173 Chernyshevskogo str., Nal'chik, 360004 Russia
Full-text PDF (171 kB) Citations (1)
References:
PDF
HTML
Abstract: We study a question of unique solvability of a boundary-value problem with fractional derivatives for a mixed-type equation of the second order. The uniqueness theorem is proved by using restrictions on known functions. The existence of a solution to the problem is proved by reduction to the Fredholm equation of the second kind. Unconditional solvability of this equation follows from the uniqueness of a solution.
Keywords: operator of fractional differentiation, Gauss hypergeometric function, Cauchy problem, Fredholm integral equation.
Received: 26.09.2015
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 4, Pages 35–40
DOI: https://doi.org/10.3103/S1066369X17040065
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: O. A. Repin, S. K. Kumykova, “The problem with operators of fractional differentiation in boundary condition for mixed-type equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 4, 43–49; Russian Math. (Iz. VUZ), 61:4 (2017), 35–40
Citation in format AMSBIB
\Bibitem{RepKum17}
\by O.~A.~Repin, S.~K.~Kumykova
\paper The problem with operators of fractional differentiation in boundary condition for mixed-type equation
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2017
\issue 4
\pages 43--49
\mathnet{http://mi.mathnet.ru/ivm9227}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2017
\vol 61
\issue 4
\pages 35--40
\crossref{https://doi.org/10.3103/S1066369X17040065}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000408841300006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85016805375}
Linking options:
  • https://www.mathnet.ru/eng/ivm9227
  • https://www.mathnet.ru/eng/ivm/y2017/i4/p43
    • 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
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024