33 citations · 105 across the 16 of their papers we have counts for
4 papers · 1 filter
On stable manifolds for fractional differential equations in high dimensional spaces
Nguyen Dinh Cong, Doan Thai Son, Stefan Siegmund +1
Our aim in this paper is to establish stable manifolds near hyperbolic equilibria of fractional differential equations in arbitrary finite dimensional spaces.
An instability theorem for nonlinear fractional differential systems
N. D. Cong, T. S. Doan, S. Siegmund +1
In this paper, we give a criterion on instability of an equilibrium of nonlinear Caputo fractional differential systems. More precisely, we prove that if the spectrum of the linear…
A Perron-type theorem for fractional linear differential systems
N. D. Cong, T. S. Doan, H. T. Tuan
We give a necessary and sufficient condition for a system of linear inhomogeneous fractional differential equations to have at least one bounded solution. We also obtain an explici…
Asymptotic stability of linear fractional systems with constant coefficients and small time dependent perturbations
N. D. Cong, T. S. Doan, H. T. Tuan
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…