Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  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,  obtain an interesting center stable manifold theorem. Finally, an example is provided to illustrate the result.
['JinRong Wang', 'Michal Fĕckan', 'Yong Zhou']
I am writing a research paper on a idea Center stable manifold for planar fractional damped equations
[{"from": "human", "value": "I am writing a research paper on a idea Center stable manifold for planar fractional damped equations"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  discuss the existence of a center stable manifold for planar fractional damped equations. By constructing a suitable Lyapunov\u2013Perron operator via giving asymptotic behavior of Mittag\u2013Leffler function,  obtain an interesting center stable manifold theorem. Finally, an example is provided to illustrate the result."}]