Mixed problem for a system of fractional partial differential equations

Abstract

We study a mixed boundary value problem in the general setting for a system of Riemann–Liouville fractional partial differential equations with constant matrix coefficients. By using a system of Volterra integral equations of the second kind, we reduce the problem to a special case for which the solution was earlier constructed in terms of the Green matrix. Existence and uniqueness theorems are proved for the problem in question.