Asymptotic stability of linear fractional systems with constant coefficients and small time dependent perturbations

Abstract

Our aim in this paper is to investigate the asymptotic behavior of solutions of the perturbed linear fractional differential system. We show that if the original linear autonomous system is asymptotically stable then under the action of small (either linear or nonlinear) nonautonomous perturbations the trivial solution of the perturbed system is also asymptotically stable.

Cited by in corpus (4)

• On asymptotic properties of solutions to fractional differential equations
• Stability of scalar nonlinear fractional differential equations with linearly dominated delay
• Analysis and implementation of collocation methods for fractional differential equations
• Hill-Type Stability Analysis of Periodic Solutions of Fractional-Order Differential Equations