64 citations · 283 across the 13 of their papers we have counts for
14 papers
Qualitative analysis of solutions to mixed-order positive linear coupled systems with bounded or unbounded delays
H. T. Tuan, L. V. Thinh
This paper addresses the qualitative theory of mixed-order positive linear coupled systems with bounded or unbounded delays. First, we introduce a general result on the existence a…
On asymptotic properties of solutions to fractional differential equations
N. D. Cong, H. T. Tuan, Hieu Trinh
We present some distinct asymptotic properties of solutions to Caputo fractional differential equations (FDEs). First, we show that the non-trivial solutions to a FDE can not conve…
Stability of scalar nonlinear fractional differential equations with linearly dominated delay
H. T. Tuan, S. Siegmund
In this paper, we study the asymptotic behavior of solutions to a scalar fractional delay differential equations around the equilibrium points. More precise, we provide conditions…
Stability of fractional-order nonlinear systems by Lyapunov direct method
H. T. Tuan, Hieu Trinh
In this paper, by using a characterization of functions having fractional derivative, we propose a rigorous fractional Lyapunov function candidate method to analyze stability of fr…
An analytical proof for synchronization of stochastic phase oscillator
Y. Sato, T. S. Doan, N. T. The +1
In this paper, we show that under a generic condition of the coefficient of a stochastic phase oscillator the Lyapunov exponent of the linearization along an arbitrary solution is…
On Some Special Properties of Mittag-Leffler Functions
H. T. Tuan
Our aim in this report is to investigate the asymptotic behavior of Mittag-Leffler functions. We give some estimates involving the Mittag-Leffler functions and their derivatives.
Global attractivity for some classes of Riemann--Liouville fractional differential systems
H. T. Tuan, Adam Czornik, J. Nieto +1
In this paper, we present some results for existence of global solutions and attractivity for mulidimensional fractional differential equations involving Riemann-Liouville derivati…
Asymptotic behavior of solutions of linear multi-order fractional differential equation systems
Kai Diethelm, Stefan Siegmund, H. T. Tuan
In this paper, we investigate some aspects of the qualitative theory for multi-order fractional differential equation systems. First, we obtain a fundamental result on the existenc…
Existence, uniqueness and exponential boundedness of global solutions to delay fractional differential equations
N. D. Cong, H. T. Tuan
Under a mild Lipschitz condition we prove a theorem on the existence and uniqueness of global solutions to delay fractional differential equations. Then, we establish a result on t…
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…