A Novel Proof on the Existence of the Solution of Fractional Control Problem Governed by Burgers Equations

• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 关键词: Burgers equation fractional optimal control
• 年，卷（期）: 2019,（2）
• 页码范围: 129-143
• 页数: 15页
• 分类号: O175.29
• 语种: 英文
• DOI: 10.4208/jpde.v32.n2.3

摘要

In this study,first we give some conditions to prove that a fractional Burgers equation has a unique solution.For this aim,we define a special operator to deduce the uniqueness of the solution.Then we prove that the optimal control problem under fractional Burgers equation has at least one optimal solution.