论文标题
由具有控制约束的时间分数扩散方程控制的最佳控制问题
Optimal control problems governed by time-fractional diffusion equations with control constraint
论文作者
论文摘要
考虑了由线性分数扩散方程与控制约束的一类最佳控制问题。我们首先建立了一些关于状态方程的强大解决方案以及最佳控制问题的最佳解决方案的结果。然后，我们为局部最佳解决方案提供一阶和二阶最佳条件。
A class of optimal control problems governed by linear fractional diffusion equation with control constraint is considered. We first establish some results on the existence of strong solution to the state equation and the existence of optimal solutions for the optimal control problem. Then we derive first-and second-order optimality conditions for locally optimal solutions to the problem.
