Representation of solutions for fractional differential-algebraic systems with delays

Abstract

Linear stationary fractional differential-algebraic systems with delay are studied. The differential operators are taken in the Caputo sense with its initial condones. An exponential growth is proved for these systems. The obtained result allows one to apply the Laplace transform for investigation of stationary systems and, as a consequence, to obtain analytical representation of solutions in the form of series in power of solutions to the determining equations. The results are illustrated by an example.