分数阶混合随机泛函微分方程的能控性

Controllability of fractional hybrid stochastic functional differential equations

主要研究了分数阶混合随机泛函微分方程的能控性.在无限维空间下,假设所考虑方程线性部分生成半群不是紧的,使用非紧性测度技术和Mnch不动点定理,给出了方程能控性充分条件,并通过一个例子说明了结论的有效性.

This paper considers the controllability of a class of fractional hybrid stochastic functional differential equations. In infinite dimension space, by using measure of noncompact and M？nch fixed point theorem, the sufficient conditions of controllability of the equations are obtained under the assumption that the semigroup genera？ted by the linear part of the equations is not compact. Finally,an example is given to illustrate the effectiveness of the result.