A priori estimate of the solution of a boundary problem with the condition of Samara for the generalized third-order equation with multiple characteristics

The boundary value problems for the third-order equation of parabolic type with fractional derivative of Caputo are considered. The uniqueness and existence of a generalized solution of the boundary value problem with a non-local Samara condition for the equation with multiple characteristics with a spectral parameter is proved by the method of energy inequalities.