Local stable manifold of Langevin differential equations with two fractional derivatives

被引：37

作者：

Wang, JinRong ^{[1
]}

Peng, Shan ^{[1
]}

O'Regan, D. ^{[2
]}

机构：

[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China

[2] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2017年

基金：

中国国家自然科学基金;

关键词：

local stable manifolds; Langevin differential equations; Mittag-Leffler functions; ULAM-HYERS STABILITY; EXISTENCE;

D O I：

10.1186/s13662-017-1389-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the existence of local center stable manifolds of Langevin differential equations with two Caputo fractional derivatives in the two-dimensional case. We adopt the idea of the existence of a local center stable manifold by considering a fixed point of a suitable Lyapunov-Perron operator. A local center stable manifold theorem is given after deriving some necessary integral estimates involving well-known Mittag-Leffler functions.

引用

页数：15

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