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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2016, Number 1(12), Pages 7–14
DOI: https://doi.org/10.18454/2079-6641-2016-12-1-7-14 (Mi vkam113) 		 
MATHEMATICS

În à ðrîblåm fîr thå lîàdåd miõåd tóðå åquàtiîn with fràñtiînàl dårivàtivå

O. Kh. Abdullaev

National University of Uzbekistan by Mirzo Ulugbeka, 100174, Uzbekistan, Tashkent c., VUZ gorodok, Universitetskaya st. 4
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DOI: https://doi.org/10.18454/2079-6641-2016-12-1-7-14
Abstract: An existence and an uniqueness of solution of local boundary value problem with discontinuous matching condition for the loaded parabolic-hyperbolic equation involving the Caputo fractional derivative and Riemann-Liouville integrals have been investigated in this research work. The uniqueness of solution is proved by the method of integral energy and the existence is proved by the method of integral equations.
Keywords: Caputo derivative, boundary value problem, Riemann-Liouville integral, energy integral.
Received: 20.03.2016
English version:
Bulletin KRASEC. Physical and Mathematical Sciences, 2016, Volume 12, Issue 1, Pages 5–11
DOI: https://doi.org/10.18454/2313-0156-2016-12-1-5-11
Bibliographic databases:
Document Type: Article
UDC: 517.956
MSC: 35M10
Language: English
Citation: O. Kh. Abdullaev, “În à ðrîblåm fîr thå lîàdåd miõåd tóðå åquàtiîn with fràñtiînàl dårivàtivå”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2016, no. 1(12), 7–14; Bulletin KRASEC. Phys. & Math. Sci., 12:1 (2016), 5–11
Citation in format AMSBIB
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\by O.~Kh.~Abdullaev
\paper În à ðrîblåm fîr thå lîàdåd miõåd tóðå åquàtiîn with fràñtiînàl dårivàtivå
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2016
\issue 1(12)
\pages 7--14
\mathnet{http://mi.mathnet.ru/vkam113}
\crossref{https://doi.org/10.18454/2079-6641-2016-12-1-7-14}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3530373}
\elib{https://elibrary.ru/item.asp?id=25828456}
\transl
\jour Bulletin KRASEC. Phys. & Math. Sci.
\yr 2016
\vol 12
\issue 1
\pages 5--11
\crossref{https://doi.org/10.18454/2313-0156-2016-12-1-5-11}
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