64 citations · 283 across the 13 of their papers we have counts for
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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…