Scholarlink

<p>This paper deals with an external optimal control problem governed by coupled system of semilinear fractional parabolic equation and parabolic equation with Neumann exterior value condition. Under some assumptions on the nonlinearity, the well-posedness and boundedness of solutions for the system are proved. After showing the Lipschitz continuity and Fréchet differentiability of the control-to-state operator for the controlled system, we establish the existence theorem of solutions and the first-order necessary optimality conditions for an associated optimal control problem.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

External Optimal Control of the Semilinear Fractional Parabolic Coupled System

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年1月30日

查看全文
  • Jun Lei,
  • Wei Wei

摘要

This paper deals with an external optimal control problem governed by coupled system of semilinear fractional parabolic equation and parabolic equation with Neumann exterior value condition. Under some assumptions on the nonlinearity, the well-posedness and boundedness of solutions for the system are proved. After showing the Lipschitz continuity and Fréchet differentiability of the control-to-state operator for the controlled system, we establish the existence theorem of solutions and the first-order necessary optimality conditions for an associated optimal control problem.