64 citations · 283 across the 13 of their papers we have counts for
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A note about the linearized stability of a class of nonlinear fractional differential systems
H. T. Tuan
In this paper, we discuss on the linearized stability of the trivial solution for a class of nonlinear Caputo fractional differential systems of order . We show that som…
Generation of nonlocal fractional dynamical systems by fractional differential equations
N. D. Cong, H. T. Tuan
We show that any two trajectories of solutions of a one-dimensional fractional differential equation (FDE) either coincide or do not intersect each other. In contrary, in the highe…
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…