Center stable manifold for planar fractional damped equations
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摘要
In this paper, we discuss the existence of a center stable manifold for planar fractional damped equations. By constructing a suitable Lyapunov–Perron operator via giving asymptotic behavior of Mittag–Leffler function, we obtain an interesting center stable manifold theorem. Finally, an example is provided to illustrate the result.
论文关键词：Center stable manifold,Planar fractional damped equations,Mittag–Leffler function
论文评审过程：Received 4 September 2015, Revised 25 August 2016, Accepted 7 October 2016, Available online 3 November 2016, Version of Record 3 November 2016.
论文官网地址：https://doi.org/10.1016/j.amc.2016.10.014
