Abstract
This paper reports the local stable manifolds near hyperbolic equilibria for nonlinear planar fractional differential equations of order 1<α<2. By using several useful estimates of Mittag‐Leffler function and fractional calculus technique, we construct two suitable Lyapunov‐Perron operators and set up their fixed points as the desired stable manifolds. We further present a specific example to compute explicitly the corresponding stable manifold as the application.
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