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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2011, Volume 11, Issue 1, Pages 89–94
DOI: https://doi.org/10.18500/1816-9791-2011-11-1-89-94 (Mi isu206) 		 
Mechanics

A boundary-value problem with shifted for a mixed type equation with fractional derivative

O. A. Repina, S. A. Sayganovab

a Samara State Economic University, Chair of Mathematical Statistics
b Samara State Technical University, Chair of Applied Mathematics and Informatics
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DOI: https://doi.org/10.18500/1816-9791-2011-11-1-89-94
Abstract: A non-local problem for a mixed type equation with partial fractional derivative of Riemann–Liouville is studied, boundary condition of which contains linear combination of generalized operators of fractional integro-differentiation. Unique solvability of the problem is then proved.
Key words: boundary-value problem, operator, fractional derivative, integral equation.
Document Type: Article
UDC: 517.956.32
Language: Russian
Citation: O. A. Repin, S. A. Sayganova, “A boundary-value problem with shifted for a mixed type equation with fractional derivative”, Izv. Saratov Univ. Math. Mech. Inform., 11:1 (2011), 89–94
Citation in format AMSBIB
\Bibitem{RepSay11}
\by O.~A.~Repin, S.~A.~Sayganova
\paper A boundary-value problem with shifted for a~mixed type equation with fractional derivative
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2011
\vol 11
\issue 1
\pages 89--94
\mathnet{http://mi.mathnet.ru/isu206}
\crossref{https://doi.org/10.18500/1816-9791-2011-11-1-89-94}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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