脉冲与时滞影响下一类分数阶发展系统的近似可控性  

APPROXIMATE CONTROLLABILITY OF A CLASS OF FRACTIONAL EVOLUTION SYSTEM WITH THE EFFECTS OF IMPULSE AND DELAY

作　　者：李子惠 宋艺涵 谭相男 王琳 赵大亮 Li Zihui;Song Yihan;Tan Xiangnan;Wang Lin;Zhao Daliang(School of Mathematics and Statistics,Shandong Normal University,250014,Jinan,China)

机构地区：[1]山东师范大学数学与统计学院,济南250014

出　　处：《山东师范大学学报（自然科学版）》2024年第2期143-154,共12页Journal of Shandong Normal University(Natural Science)

基　　金：山东师范大学本科生科研基金项目(BKJJ2023043)。

摘　　要：本文主要研究了Banach空间中一类含脉冲与时滞的分数阶(1<γ<2)发展系统的近似可控性。首先,证明了该发展系统温和解的存在性定理;其次,运用空间分解技巧和控制算子值域条件证明了该系统的近似可控性。该结论拓展了许多本研究领域的相关结果。This article mainly studies the approximate controllability of a class of fractional evolution system with the effects of impulse and delay in Banach spaces.Firstly,the existence of mild solutions for the considered fractional system is proved.Secondly,the approximate controllability of the objective system is demonstrated by using spatial decomposition techniques and control operator range conditions.This conclusion extends many relevant results in this research field.

关 键 词：近似可控性 分数阶发展系统 温和解 脉冲 时滞 

分 类 号：O175.6[理学—数学]