StabilIty of Scalar Nonlinear Fractional Differential Equations with Linearly Dominated Delay

被引：0
|
作者：
Hoang The Tuan
Stefan Siegmund
机构：
[1] Institute of Mathematics Vietnam Academy of Science and Technology,Center for Dynamics
[2] Faculty of Mathematics,undefined
[3] TU Dresden,undefined
来源：
Fractional Calculus and Applied Analysis | 2020年 / 23卷
关键词：
Primary 26A33; Secondary 33E12; 34A08; 34K37; 45M10; scalar nonlinear fractional differential equations with delay; characteristic function; special functions; asymptotic stability;
D O I：
暂无
中图分类号：
学科分类号：
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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页码：250 / 267
页数：17
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