A problem with generalized fractional integro-differentiation operators of arbitrary order |
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| Authors: | O A Repin S K Kumykova |
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| Institution: | 1. Samara State Economic University, ul. Sovetskoi Armii 141, Samara, 443090, Russia
2. Kabardino-Balkarian State University, ul. Chernyshevskogo 173, Nalchik, 360004, Russia
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| Abstract: | For a degenerate hyperbolic equation we study a problem with fractional integro-differentiation operators in the boundary condition on the characteristic part of the boundary. We determine intervals for parameters of generalized operators of arbitrary order with a Gauss hypergeometric function such that the problem either is uniquely solvable or has more than one solution. |
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