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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
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.
Received: 10.11.2010
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
Linking options:
https://www.mathnet.ru/eng/vkam105 https://www.mathnet.ru/eng/vkam/y2010/i1/p17
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Abstract page: | 248 | Full-text PDF : | 96 | References: | 79 |
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