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A nonlocal problem with generalized fractional differential operators for a mixed-type equation in an unbounded domain

О. А. РепинSamara State Economic University, 141 ul. Sovetskoi Armii 141, Samara, 443090, RussiaС. К. КумыковаKabardino-Balkarian State University, ul. Chernyshevskogo 173, Nal’chik, 360004, Russia
2015en
ABI

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For a mixed-type equation we study a problem with generalized fractional differential operators whose kernels contain Gauss hypergeometric functions. We prove the unique solvability of the stated boundary value problem under constraints in the form of inequalities imposed on the known functions with various parameters of operators.

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