Vestnik of Samara University. Natural Science SeriesVestnik of Samara University. Natural Science Series2541-75252712-8954Samara National Research University478410.18287/2541-7525-2012-18-9-52-60ON A PROBLEM WITH GENERALIZED OPERATORS OF FRACTIONAL DIFFERENTIATION FOR A DEGENERATED INSIDE A DOMAIN HYPERBOLIC EQUATIONRepinO.A.morenov.sv@ssau.ruKumykovaS.K.morenov.sv@ssau.ruSamara State University of EconomicsKabardino-Balkarian State University1012201218952600806201708062017Copyright © 2012, Repin O., Kumykova S.2012In 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.интеграл и производная Римана — Лиувилля дробного по- рядка, интегральные уравнения Фредгольма, гипергеометрическая функция Гаусса, резольвента ядраintegral and derivative of Riemann — Liouville fractional order, integral equations of Fredholm, Gauss hypergeometric function, kernel resolvent