具有线性控制时滞的标量非线性分数阶微分方程的稳定性
Stability of scalar nonlinear fractional differential equations with linearly dominated delay
摘要：
本文研究了一类分数阶时滞微分方程解在平衡点附近的渐近性态。更精确地说，我们给出了线性分数阶时滞方程渐近稳定的系数条件，并证明了分数阶时滞微分方程在非线性Lipschitz小扰动下平凡解的渐近稳定性.
英文摘要：
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 on the coefficients under which a linear fractional delay equation is asymptotically stable and show that the asymptotic stability of the trivial solution is preserved under a small nonlinear Lipschitz perturbation of the fractional delay differential equation.
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