中山大学学报（自然科学版）（中英文）2024，Vol.63Issue(1)：145-153,9.DOI:10.13471/j.cnki.acta.snus.2023A006
Hilfer分数阶脉冲随机发展方程的平均原理
Averaging principle for Hilfer fractional impulsive stochastic evolution equations
摘要
Abstract
By using fractional calculus,semigroup theories,inequality techniques and stochastic analysis theories,an averaging principle for Hilfer fractional impulsive stochastic evolution equations driven by fractional Brownian motion is established.The mild solution of the original equations converges to the mild solution of the reduced averaged equations without impulses in the mean square sense is proved.And an example is presented to illustrate the applicability of our obtained theoretical results.关键词
平均原理/Hilfer分数阶导数/脉冲随机发展方程/分数布朗运动Key words
averaging principle/Hilfer fractional derivative/impulsive stochastic evolution equations/fractional Brownian motion分类
数理科学引用本文复制引用
吕婷,杨敏,王其如..Hilfer分数阶脉冲随机发展方程的平均原理[J].中山大学学报（自然科学版）（中英文）,2024,63(1):145-153,9.基金项目
国家自然科学基金(12001393,12071491) （12001393,12071491）
山西省自然科学基金(201901D211103) （201901D211103）
