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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2011, Issue 1(22), Pages 151–157
DOI: https://doi.org/10.14498/vsgtu863 (Mi vsgtu863) 		 
Procedings of the 2nd International Conference "Mathematical Physics and its Applications"
Mathematical Physics

Solution in explicit form of non-local problem for differential equation with partial fractional derivative of Riemann–Liouville

S. A. Sayganova

Dept. of Applied Mathematics and Computer Science, Samara State Technical University, Samara
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DOI: https://doi.org/10.14498/vsgtu863
Abstract: A non-local problem for a mixed type equation with partial fractional derivative of Riemann–Liouville is studied, boundary condition of which contains generalized operator of fractional integro-differentiation. Unique solution of the problem is then proved.
Keywords: boundary-value problem, fractional derivatives and integrals, fractional differential equation, Mittag–Leffler function.
Original article submitted 20/XII/2010
revision submitted – 14/II/2011
Bibliographic databases:
Document Type: Article
UDC: 517.956.6
MSC: Primary 35M10; Secondary 26A33, 33C05, 33E12
Language: Russian
Citation: S. A. Sayganova, “Solution in explicit form of non-local problem for differential equation with partial fractional derivative of Riemann–Liouville”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(22) (2011), 151–157
Citation in format AMSBIB
\Bibitem{Say11}
\by S.~A.~Sayganova
\paper Solution in explicit form of non-local problem for differential equation with partial fractional derivative of Riemann--Liouville
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2011
\vol 1(22)
\pages 151--157
\mathnet{http://mi.mathnet.ru/vsgtu863}
\crossref{https://doi.org/10.14498/vsgtu863}
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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
     
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