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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2017, Number 1(17), Pages 22–32
DOI: https://doi.org/10.18454/2079-6641-2017-17-1-22-32 (Mi vkam189) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

About a problem for the degenerating mixed type equation fractional derivative

B. Islomova, N. K. Ochilovab

a National University of Uzbekistan
b Tashkent financial institute
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DOI: https://doi.org/10.18454/2079-6641-2017-17-1-22-32
URL: https://krasec.ru/Isl2017-117
Abstract: The existence and the uniqueness of solution of local problem for degenerating mixed type equation is investigated. Considering parabolic-hyperbolic equation involve the Caputo fractional derivative. The uniqueness of solution is proved using the method of the extremume principle and integral energy, the existence is proved by the method of integral equations.
Keywords: boundary value problem, degenerating equation, parabolic-hyperbolic type, Gauss hypergeometric function, Cauchy problem, existence and uniqueness of solution, a principle an extremum, method of integral equations, Caputo fractional derivative.
Received: 25.12.2016
Bibliographic databases:
Document Type: Article
UDC: 517.956
MSC: Primary 76W05; Secondary 86A25
Language: English
Citation: B. Islomov, N. K. Ochilova, “About a problem for the degenerating mixed type equation fractional derivative”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2017, no. 1(17), 22–32
Citation in format AMSBIB
\Bibitem{ИслOch17}
\by B.~Islomov, N.~K.~Ochilova
\paper About a problem for the degenerating mixed type equation fractional derivative
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2017
\issue 1(17)
\pages 22--32
\mathnet{http://mi.mathnet.ru/vkam189}
\crossref{https://doi.org/10.18454/2079-6641-2017-17-1-22-32}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3657104}
\elib{https://elibrary.ru/item.asp?id=29094395}
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