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arXiv · 1808.07974

Stability of scalar nonlinear fractional differential equations with linearly dominated delay

H. T. Tuan·S. Siegmund
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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.

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H. T. Tuan, S. Siegmund. 2018-08-24. Stability of scalar nonlinear fractional differential equations with linearly dominated delay. https://doi.org/10.1515/fca-2020-0010

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