<p>This paper investigates a nonlocal boundary value problem for a degenerate equation of elliptic type with singular coefficients in an unbounded domain. The uniqueness of the solution to the problem is proved using the energy integral method. The existence of a solution to the problem is proved by the method of integral equations. The existence of a solution is demonstrated through the method of integral equations, relying on the solution of the Dirichlet problem for the Holmgren equation with singular coefficients in a half-plane. The boundary condition of the nonlocal problem under consideration involves a Riemann–Liouville operator of fractional order. Depending on the order of this fractional derivative, the problem reduces to a singular integral equation. We find its solution using the Carleman–Vekua method.</p>