Stability of scalar nonlinear fractional differential equations with linearly dominated delay
arXiv:1808.07974 · doi:10.1515/fca-2020-0010
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.
References in corpus (4)
- Generation of nonlocal fractional dynamical systems by fractional differential equations
- Existence, uniqueness and exponential boundedness of global solutions to delay fractional differential equations
- A linearized stability theorem for nonlinear delay fractional differential equations
- Asymptotic stability of linear fractional systems with constant coefficients and small time dependent perturbations