一类时间分数阶扩散方程的区域边界可观性

Regional boundary observability for a class of time fractional diffusion equations

基于实际应用的需要,引入区域控制的概念,对一类时间分数阶扩散方程的区域边界可观性进行研究,并对如下问题做出了回答:用多少观测器,如何配置可实现时间分数阶扩散方程的区域边界可观性。

This paper is concerned with the regional boundary observability for a class of time tractional diffusion equations by introducing the concepts of regional control to satisfy the requirements of real-applica- tions. Then we answer the following question： How many sensors are sufficient and how to best configure them to guarantee the regional boundary observability of time fractional diffusion equations.