Geodesic
Solvability of a~nonlocal problem for a~loaded parabolic-hyperbolic equation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2013), pp. 73-81.

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For a mixed-type equation we study a problem with generalized fractional integro-differentiation operators in the boundary condition. We prove its unique solvability under inequality-type conditions imposed on the known functions for various orders of fractional integro-differentiation operators. We prove the existence of a solution to the problem by reducing the latter to a fractional differential equation.
Keywords: boundary value problem, generalized fractional integro-differentiation operators, Gauss hypergeometric function. 
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     title = {Solvability of a~nonlocal problem for a~loaded parabolic-hyperbolic equation},
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A. V. Tarasenko. Solvability of a~nonlocal problem for a~loaded parabolic-hyperbolic equation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2013), pp. 73-81. http://geodesic.mathdoc.fr/item/IVM_2013_1_a6/

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