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A nonlocal problem with fractional derivatives for the mixed type equation

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Abstract

For an equation of the mixed elliptic-hyperbolic type we investigate the boundary-value problem, when on the elliptic part of domain boundary a co-normal derivative of solution is given, and in the hyperbolic part the generalized fractional derivatives of solution value on characteristics are pointwise connected with the solution value and its derivative on the line of parabolic degeneration. The unique resolvability of problem is proven.

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Authors and Affiliations

  1. Samara State Economic University, ul. Sovetskoi Armii 141, Samara, 443090, Russia

    O. A. Repin

  2. Kabardino-Balkarian State University, ul. Chernyshevskogo 173, Nalchik, 360004, Russia

    S. K. Kumykova

Authors
  1. O. A. Repin
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  2. S. K. Kumykova
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Corresponding author

Correspondence to O. A. Repin.

Additional information

Original Russian Text © O.A. Repin, S.K. Kumykova, 2014, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, No. 8, pp. 79–85.

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Repin, O.A., Kumykova, S.K. A nonlocal problem with fractional derivatives for the mixed type equation. Russ Math. 58, 65–70 (2014). https://doi.org/10.3103/S1066369X14080088

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  • DOI: https://doi.org/10.3103/S1066369X14080088

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