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Center stable manifold for planar fractional damped equations
Journal article   Peer reviewed

Center stable manifold for planar fractional damped equations

JinRong Wang, Michal Feckan and Yong Zhou
Applied mathematics and computation, Vol.296, pp.257-269
01/03/2017
DOI: https://doi.org/10.1016/j.amc.2016.10.014

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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. (C) 2016 Elsevier Inc. All rights reserved.

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