Problem with generalized fractional differentiation operators for a hyperbolic equation degenerating in the interior of the domain

Author:

Repin O. A.,Kumykova S. K.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics,Analysis

Reference12 articles.

1. Saigo, M., A remark on integral operators involving the Gauss hypergeometric function, Math. Rep. Kyushu Univ., 1978, vol. 11, no. 2, pp. 135–143.

2. Samko, S.G., Kilbas, A.A., and Marichev, O.I., Integraly i proizvodnye drobnogo poryadka i nekotorye ikh prilozheniya (Fractional Integrals and Derivatives and Some of Their Applications), Minsk: Nauka i Tekhnika, 1987.

3. Repin, O.A., Kraevye zadachi so smeshcheniem dlya uravnenii giperbolicheskogo i smeshannogo tipov (Boundary Value Problems with Shift for Equations of Hyperbolic and Mixed Types), Saratov: Saratov. Gos. Univ., 1992.

4. Nakhushev, A.M., Zadachi so smeshcheniem dlya uravnenii v chastnykh proizvodnykh (Problems with Shift for Partial Differential Equations), Moscow: Nauka, 2006.

5. Repin, O.A. and Kumykova, S.K., A nonlocal problem for a mixed-type equation whose order degenerates along the line of change of type, Russ. Math., 2013, vol. 57, no. 8, pp. 49–56.

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