On the problem for mixed type equation with~M.~Saigo operators
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 3 (2011), pp. 157-161.

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In this paper boundary value problem with M. Saigo operators is considered for the equation of the mixed type. This equation is represented as an equation of fractional diffusion in upper half-plane and as an equation of moisture transfer in lower half-plane. One-valued solvability of the problem is proved.
Keywords: equation of the mixed type, M. Sajgo operators, one-valued solvability of a problem.
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E. Y. Arlanova. On the problem for mixed type equation with~M.~Saigo operators. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 3 (2011), pp. 157-161. http://geodesic.mathdoc.fr/item/VSGTU_2011_3_a16/

[1] Samko S. G., Kilbas A. A., Marichev O. I., Integrals and derivatives of fractional order and some of their applications, Nauka i Tekhnika, Minsk, 1987, 688 pp. | MR | Zbl

[2] Saigo M., “A certain boundary value problem for the Euler–Poisson–Darboux equation”, Math. Japan, 24:4 (1979), 377–385 | MR | Zbl

[3] Pskhu A. V., Boundary value problems for partial differential equations with partial derivatives of fractional and continuum order, Izd-vo KBNC RAN, Nal'chik, 2005, 186 pp.

[4] Bitsadze A. V., Some classes of partial differential equations, Nauka, Moscow, 1981, 488 pp. | MR | Zbl

[5] Nakhushev A. M., Equations of mathematical biology, Vyssh. shk., Moscow, 1995, 301 pp. | Zbl

[6] Dzhrbashyan M. M., Integral transforms and representation of functions in the complex domain, Nauka, Moscow, 1966, 672 pp. | MR | Zbl