Stability of scalar nonlinear fractional differential equations with linearly dominated delay
Classical Analysis and ODEs
2020-02-17 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1808.07974,
title = {Stability of scalar nonlinear fractional differential equations with linearly dominated delay},
author = {H. T. Tuan and S. Siegmund},
journal= {arXiv preprint arXiv:1808.07974},
year = {2020}
}