Geodesic
On a~problem with generalized operators of fractional differentiation for a~degenerated inside a~domain hyperbolic equation
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 9 (2012), pp. 52-60

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In this paper, we consider a problem with Saigo operators of fractional differentiation in a boundary condition on a characteristic part of a boundary. The unique solvability of this problem is proved.
Keywords: integral and derivative of Riemann–Liouville fractional order, integral equations of Fredholm, Gauss hypergeometric function, kernel resolvent. 
@article{VSGU_2012_9_a5,
     author = {O. A. Repin and S. K. Kumykova},
     title = {On a~problem with generalized operators of fractional differentiation for a~degenerated inside a~domain hyperbolic equation},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {52--60},
     publisher = {mathdoc},
     number = {9},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2012_9_a5/}
}
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O. A. Repin; S. K. Kumykova. On a~problem with generalized operators of fractional differentiation for a~degenerated inside a~domain hyperbolic equation. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 9 (2012), pp. 52-60. http://geodesic.mathdoc.fr/item/VSGU_2012_9_a5/