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Local stable manifold of langevin differential equations with two fractional derivatives

Wang, JinRong
; 
Peng, Shan
; 
O’Regan, D
Identifiers
http://hdl.handle.net/10379/14368
 https://doi.org/10.13025/28715
Publication Date
2017-10-18
Keywords
local stable manifolds, langevin differential equations, mittag-leffler functions, ulam-hyers stability, existence, orders
Type
Article
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Citation
Wang, JinRong; Peng, Shan; O’Regan, D (2017). Local stable manifold of langevin differential equations with two fractional derivatives. Advances in Difference Equations ,
Abstract
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.
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Publisher
Springer Nature
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Externally hosted open access publications with University of Galway authors (2)