Asymptotic properties of fractional delay differential equations

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摘要

In this paper we study the asymptotic properties of d-dimensional linear fractional differential equations with time delay. We present necessary and sufficient conditions for asymptotic stability of equations of this type using the inverse Laplace transform method and prove polynomial decay of stable solutions. Two examples illustrate the obtained analytical results.

论文关键词:Fractional differential equations,Delay differential equations,Linear equations,Asymptotic stability,Laplace transform,Polynomial decay,Exact convergence rate

论文评审过程:Available online 27 July 2011.

论文官网地址:https://doi.org/10.1016/j.amc.2011.04.059