Stability analysis of the fractional differential systems with Miller-Ross sequential derivative

摘要

Stability analysis of the linear fractional differential systems with Caputo derivative has been well-studied, the differential system with Miller-Ross sequential derivative, however, has not been investigated yet. In this paper, by using the Laplace transform and the asymptotical expansion of the Mittag-Leffler function we derive the stability criteria of the fractional differential systems with Miller-Ross sequential fractional derivative, where two cases are included: the homogenous case and the nonhomogenous one.