Internal boundary value problem for hyperbolic-parabolic equation containing fractional diffusion operator

Author(s):  K.U. Khubiev, Institute of Applied Mathematics and Automation of KBSC RAS, Nalchik, Russia,

Issue:  Volume 49, №27

Rubric:  Mathematics

Annotation:  In this paper we investigate a problem with non-continues conjugation condition and with a non-local inner-boundary shift in the hyperbolic part of the mixed domain for a model hyperbolic-parabolic equation with a fractional diffusion operator. The existence and uniqueness of the solution for the problem is proved. The solution is written out in explicit form

Keywords:  nonlocal problem, problem with shift, inner boundary value problem, equation of mixed type, hyperbolic-parabolic equation, the fractional diffusion operator

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