论文标题
在Banach空间中的Caputo意义上的最小能量问题
Minimum Energy Problem in the Sense of Caputo for Fractional Neutral Evolution Systems in Banach Spaces
论文作者
论文摘要
我们研究了涉及Caputo衍生物的BANACH空间上的一类中性进化方程。主要结果确定了分数订单系统可控性的条件,以及存在解决最低能量最佳控制问题的解决方案的条件。结果在定点和半群理论的帮助下证明了结果。
We investigate a class of fractional neutral evolution equations on Banach spaces involving Caputo derivatives. Main results establish conditions for the controllability of the fractional-order system and conditions for existence of a solution to an optimal control problem of minimum energy. The results are proved with the help of fixed-point and semigroup theories.