Stable manifolds results for planar Hadamard fractional differential equations

In this paper, we investigate local stable manifold for planar Hadamard fractional differential equations. By adopting Lyapunov–Perron operator approach and establishing new estimation of Mittag-Leffler function associated with Hadamard fractional derivative, we derive another interesting local stable manifold theorem for our problem. Finally, an example is given to illustrate our theoretical results.