Averaging principle for fractional stochastic differential equations with \(L^p\) convergence

DOI10.1016/j.aml.2022.108024zbMath1491.60090OpenAlexW4220966633WikidataQ114210510 ScholiaQ114210510MaRDI QIDQ2135685

Zhaoyang Wang, Ping Lin

Publication date: 9 May 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108024

zbMATH Keywords

averaging principlefractional stochastic differential equations\(L^p\) convergence

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Ordinary differential equations and systems with randomness (34F05) Fractional ordinary differential equations (34A08)

Cites Work

• Unnamed Item
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• The averaging principle for stochastic differential equations with Caputo fractional derivative
• An averaging principle for stochastic fractional differential equations with time-delays
• Existence and uniqueness results for a class of fractional stochastic neutral differential equations
• An averaging principle for stochastic differential equations of fractional order \(0 < \alpha < 1\)
• A novel result on averaging principle of stochastic Hilfer-type fractional system involving non-Lipschitz coefficients
• Efficient Approximation of Flow Problems With Multiple Scales in Time
• A note on the continuity for Caputo fractional stochastic differential equations