西北师范大学学报(自然科学版)2026,Vol.62Issue(5):89-97,9.DOI:10.16783/j.cnki.nwnuz.2026.05.010
Sobolev型Hilfer分数阶随机演化系统的近似可控性
Approximate controllability of Sobolev-type Hilfer fractional stochastic evolution systems
摘要
Abstract
By using the Banach fixed point theorem,the existence and approximate controllability of mild solutions to Sobolev-type Hilfer fractional stochastic evolution systems with nonlocal initial conditions are proved in Hilbert spaces,some application examples of the abstract results are given.关键词
Hilfer分数阶导数/分数阶随机演化系统/非局部函数/Hölder不等式/近似可控Key words
Hilfer fractional derivative/fractional stochastic evolution system/nonlocal function/Hölder inequality/approximate controllability分类
数理科学引用本文复制引用
魏玺举,杨和..Sobolev型Hilfer分数阶随机演化系统的近似可控性[J].西北师范大学学报(自然科学版),2026,62(5):89-97,9.基金项目
甘肃省自然科学基金资助项目(24JRRA780) (24JRRA780)
国家自然科学基金资助项目(12461037) (12461037)