Stable manifolds results for planar Hadamard fractional differential equations

被引：3
作者：
Li, Mengmeng [1 ]
Wang, JinRong [1 ]
机构：
[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2017年 / 55卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
Planar Hadamard fractional differential equations; Stable manifolds; Mittag-Leffler functions; APPROXIMATE CONTROLLABILITY; CAUCHY-PROBLEMS; EXISTENCE; SYSTEMS;
D O I：
10.1007/s12190-016-1054-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：645 / 668
页数：24
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