E. Y. Arlanova, “On the problem for mixed type equation with M. Saigo operators”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2011, Issue 3(24),Pages <nobr>157

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Short Communication
Differential Equations

On the problem for mixed type equation with M. Saigo operators

E. Y. Arlanova

Dept. of Applied Mathematics and Computer Science, Samara State Technical University, Samara

Abstract: 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.

UDC: 517.956

MSC: 35M12

Original article submitted 21/VII/2011
revision submitted – 22/VIII/2011

DOI: 10.14498/vsgtu1000