Center stable manifold for planar fractional damped equations

JinRong Wang, Michal Fĕckan and Yong Zhou

Applied Mathematics and Computation, 2017, vol. 296, issue C, 257-269

Abstract: 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.

Keywords: Center stable manifold; Planar fractional damped equations; Mittag–Leffler function (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:296:y:2017:i:c:p:257-269

DOI: 10.1016/j.amc.2016.10.014

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