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Bulletin of Irkutsk State University. Series Mathematics, 2015, Volume 12, Pages 12–22 (Mi iigum223)  
This article is cited in 6 scientific papers (total in 6 papers)

Solutions for initial boundary value problems for some degenerate equations systems of fractional order with respect to the time

D. M. Gordievskikh, V. E. Fedorov

Chelyabinsk State University, 129, Kashirin Brothers st., Chelyabinsk, 454001
Full-text PDF (249 kB) Citations (6)
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Abstract: Solvability theorem for the Cauchy problem to a degenerate linear evolution equation of fractional order in a Banach space is used for deriving of necessary and sufficient conditions of solvability for some arising in hydrodynamics equations systems of fractional order with respect to the time. Solutions forms for considered problems are obtained by means of functional calculus in the Banach algebra of linear bounded operators.
Keywords: fractional differential equation, Sobolev system of equations, Oskolkov system of equations, initial boundary value problem.
Document Type: Article
UDC: 517.95
Language: Russian
Citation: D. M. Gordievskikh, V. E. Fedorov, “Solutions for initial boundary value problems for some degenerate equations systems of fractional order with respect to the time”, Bulletin of Irkutsk State University. Series Mathematics, 12 (2015), 12–22
Citation in format AMSBIB
\Bibitem{GorFed15}
\by D.~M.~Gordievskikh, V.~E.~Fedorov
\paper Solutions for initial boundary value problems for some degenerate equations systems of fractional order with respect to the time
\jour Bulletin of Irkutsk State University. Series Mathematics
\yr 2015
\vol 12
\pages 12--22
\mathnet{http://mi.mathnet.ru/iigum223}
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