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Meždunarodnyj naučno-issledovatel'skij žurnal, 2015, , Issue 5-1(36), Pages 8–11 (Mi irj3)  
PHYSICS AND MATHEMATICS

The boundary value problem for the one-dimensional fractional differential equations advection-diffusion

L. M. Isaevaa, R. M. Edilovab

a Moscow State University
b Grozny state oil University
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Abstract: The paper considers one of boundary value problems for one-dimensional differential equations of fractional order. Using the Fourier method, explicitly written the solution to this problem. The results can find application in the theory of fluid flow in a fractal environment and to simulate changes in temperature.
Keywords: the equation of fractional order, fractional derivative, Fourier method, the Fourier coefficients, eigenvalues and eigenfunctions, the Mittag-Leffler function.
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Document Type: Article
UDC: 51
Language: Russian
Citation: L. M. Isaeva, R. M. Edilova, “The boundary value problem for the one-dimensional fractional differential equations advection-diffusion”, Meždunar. nauč.-issled. žurn., 2015, no. 5-1(36), 8–11
Citation in format AMSBIB
\Bibitem{IsaEdi15}
\by L.~M.~Isaeva, R.~M.~Edilova
\paper The boundary value problem for the one-dimensional fractional differential equations advection-diffusion
\jour Me{\v z}dunar. nau{\v{c}}.-issled. {\v z}urn.
\yr 2015
\issue 5-1(36)
\pages 8--11
\mathnet{http://mi.mathnet.ru/irj3}
\elib{https://elibrary.ru/item.asp?id=23579364}
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