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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 4, Pages 60–64 (Mi ivm8991)  
This article is cited in 3 scientific papers (total in 3 papers)

Nonlocal problem with generalized operators of fractional differentiation for an equation of mixed type in an unbounded domain

O. A. Repina, S. K. Kumykovab

a Chair of Mathematical Statistics and Econometrics, Samara State Economic University, 141 Sovetskoi Armii str., Samara, 443090 Russia
b Chair of Function Theory and Functional Analysis, Kabardino-Balkarian State University, 173 Chernyshevskogo str., Nal'chik, 360004 Russia
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Abstract: For mixed-type equation we study the problem with generalized operators of fractional differentiation whose kernels contain the Gauss hypergeometric functions. Under restrictions in the form of inequalities on known functions and various parameters of operators we prove the unique solvability of the posed boundary-value problem.
Keywords: Riemann–Liouville integral and derivative of fractional order, singular integral equation, Fredholm equation, Gauss hypergeometric function.
Received: 14.02.2013
Revised: 05.11.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, Volume 59, Issue 4, Pages 50–53
DOI: https://doi.org/10.3103/S1066369X15040076
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: O. A. Repin, S. K. Kumykova, “Nonlocal problem with generalized operators of fractional differentiation for an equation of mixed type in an unbounded domain”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 4, 60–64; Russian Math. (Iz. VUZ), 59:4 (2015), 50–53
Citation in format AMSBIB
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\by O.~A.~Repin, S.~K.~Kumykova
\paper Nonlocal problem with generalized operators of fractional differentiation for an equation of mixed type in an unbounded domain
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2015
\issue 4
\pages 60--64
\mathnet{http://mi.mathnet.ru/ivm8991}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2015
\vol 59
\issue 4
\pages 50--53
\crossref{https://doi.org/10.3103/S1066369X15040076}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84925797433}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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