Geodesic
A boundary-value problem with shifted for a~mixed type equation with fractional derivative
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 11 (2011) no. 1, pp. 89-94

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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. 
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     title = {A boundary-value problem with shifted for a~mixed type equation with fractional derivative},
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O. A. Repin; S. A. Sayganova. A boundary-value problem with shifted for a~mixed type equation with fractional derivative. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 11 (2011) no. 1, pp. 89-94. http://geodesic.mathdoc.fr/item/ISU_2011_11_1_a11/