Stability Analysis of Neutral Linear Fractional System with Distributed Delays

Abstract

The aim of the present work is to study the initial value problem for neutral linear fractional differential system with distributed delays in incommensurate case.

Furthermore in the autonomous case with derivatives in Riemann-Liouville or Caputo sense we establish that if all roots of the introduced characteristic equation have negative real parts then the zero solution is globally asymptotically stable.

The proposed condition coincides with the conditions which guaranty the same result in the particular case of system with constant delays.