Fractional control differential-algebraic systems with many delays — Representation of solutions

The paper deals with the problem of representation of solutions of fractional linear differential-algebraic systems with many delays. The differential operators are taken in the Caputo sense. Determining equations and properties of their solutions are presented. We obtain analytical representation of solutions in the form of series in power of solutions to the determining equations. The formula is very similar to the well-known Cauchy one in the linear system theory.