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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2010, Number 1(1), Pages 17–23
DOI: https://doi.org/10.18454/2079-6641-2010-1-1-17-23 (Mi vkam105) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

The method of Green's function for one differential equation of a fractional order

R. I. Parovikab

a Institute of Cosmophysical Researches and Radio Wave Propagation Far-Eastern Branch, Russian Academy of Sciences, 684034, Kamchatskiy Kray, Paratunka, Mirnaya st., 7, Russia
b Branch of Far-Eastern National Technical University, 683031, Petropavlovsk-Kamchatskiy, Tushkanova st. , 11/1, Russia
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DOI: https://doi.org/10.18454/2079-6641-2010-1-1-17-23
Abstract: The differential equation of a fractional order $0<\beta<1$ is considered. Green's function for such equation is constructed and is shown that in a case $\beta = 1$ the found decision passes in earlier known classical decision.
Keywords: Green's function, problem of Koshi, Gerasimov-Kaputo operator.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 2.1.1/544
Received: 10.11.2010
Bibliographic databases:
Document Type: Article
UDC: 517.955
MSC: 35C05
Language: Russian
Citation: R. I. Parovik, “The method of Green's function for one differential equation of a fractional order”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2010, no. 1(1), 17–23
Citation in format AMSBIB
\Bibitem{Par10}
\by R.~I.~Parovik
\paper The method of Green's function for one differential equation of a fractional order
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2010
\issue 1(1)
\pages 17--23
\mathnet{http://mi.mathnet.ru/vkam105}
\crossref{https://doi.org/10.18454/2079-6641-2010-1-1-17-23}
\elib{https://elibrary.ru/item.asp?id=17037544}
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    		Vestnik KRAUNC. Fiziko-Matematicheskie Nauki Vestnik KRAUNC. Fiziko-Matematicheskie Nauki
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    References:79
     
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