On a problem for mixed-type equation with fractional derivative

For a mixed-type equation with a Riemann–Liouville partial fractional derivative we investigate a problem, in which the boundary condition contains a linear combination of generalized fractional operators with a Gauss hypergeometric function. The uniqueness of a solution to the problem is proved for various values of the parameters of these operators. The existence of the solution is presented in an explicit form as a solution to an equation with fractional derivatives of different orders.