On stable manifolds for planar fractional differential equations

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摘要

In this paper, we establish a local stable manifold theorem near a hyperbolic equilibrium point for planar fractional differential equations. The construction of this stable manifold is based on the associated Lyapunov–Perron operator. An example is provided to illustrate the result.

论文关键词：Fractional differential equations,Caputo derivative,Stable manifold theorem

论文评审过程：Available online 14 November 2013.

论文官网地址：https://doi.org/10.1016/j.amc.2013.10.010