一类Riemann-Liouville分数阶发展方程mild解的存在性与近似可控性
Existence and approximate controllability of mild solutions for a class of Riemann-Liouville fractional evolution equations
冯玉欣 1杨和1
作者信息
- 1. 西北师范大学数学与统计学院,甘肃兰州 730070
- 折叠
摘要
用线性算子余弦族理论和Schauder不动点定理证明Banach空间中一类Riemann-Liouville分数阶半线性发展方程mild解的存在性,并建立相应的控制系统的近似可控性结果.最后给出抽象结果的应用举例.
Abstract
The existence of mild solutions for a class of Riemann-Liouville fractional semilinear evolution equations in Banach space is proved by utilizing the cosine family theory of linear operators and Schauder's fixed point theorem.The approximate controllability result is also established for the related control systems.An example is given to illustrate the application of abstract conclusions in the end.
关键词
分数阶发展方程/mild解/近似可控性/余弦族Key words
fractional evolution equation/mild solution/approximate controllability/cosine family引用本文复制引用
基金项目
国家自然科学基金资助项目(12061062)
出版年
2024
NETL
NSTL
万方数据