A comparison type theorem for linear neutral fractional systems with distributed delays

The aim of the present work is using some new matrix measure results to establish explicit conditions for global asymptotic stability of the zero solution of incommensurate neutral linear fractional differential system with distributed delays. The derivatives in the system can be in Riemann-Liouville or Caputo type. The proposed conditions allow the studying for global asymptotic stability of the zero solution of the considered neutral system to be replaced with studying of the same problem for the corresponding (auxiliary) retarded linear fractional systems, which is a significantly simpler task.