Center stable manifold for planar fractional damped equations

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. (C) 2016 Elsevier Inc. All rights reserved.