64 citations · 125 across the 5 of their papers we have counts for
6 papers
Stability criteria for rough systems
Luu Hoang Duc, Phan Thanh Hong, Nguyen Dinh Cong
We propose a quantitative direct method to prove the local stability of a stationary solution for a rough differential equation and its regular discretization scheme. Using Doss-Su…
Lyapunov spectrum of nonautonomous linear Young differential equations
Nguyen Dinh Cong, Luu Hoang Duc, Phan Thanh Hong
We show that a linear Young differential equation generates a topological two-parameter flow, thus the notions of Lyapunov exponents and Lyapunov spectrum are well-defined. The spe…
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…
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…
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…
Linearized Asymptotic Stability for Fractional Differential Equations
N. D. Cong, T. S. Doan, S. Siegmund +1
We prove the theorem of linearized asymptotic stability for fractional differential equations. More precisely, we show that an equilibrium of a nonlinear Caputo fractional differen…