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

页码：645 / 668

页数：24

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