Boundary value problem for a multidinensional system of equations with Riemann–Liouvile fractional derivatives

In the paper а boundary-value problem for a multidimensional system of partial differential equations with fractional derivatives in Riemann–Liouville sense with constant coefficients is studied in a rectangular domain. The existence and uniqueness theorem for the solution of the boundary value problem is proved. The solution is constructed in explicit form in terms of the Wright function of the matrix argument.