吉林大学学报（理学版）2025，Vol.63Issue(5)：1231-1238,8.DOI:10.13413/j.cnki.jdxblxb.2024501
一类非局部非线性分数阶方程内部最优控制的存在性
Existence of Internal Optimal Control for a Class of Nonlocal Nonlinear Fractional Order Equations
摘要
Abstract
Aiming at the problem of accurate modeling and efficient control of complex dynamic systems,we discussed the optimal control model of nonlocal nonlinear equations with 0＜s≤1 order fractional Laplacian operator.Firstly,the existence and uniqueness of the solution to the equation were proved by using Schauder fixed point theorem and Gronwall inequality.Secondly,the boundedness of the solution to the equation was established by introducing the measure theory.Finally,the existence of the optimal control function solution to the equation was proved by using the weak lower semicontinuity of the cost functional.关键词
非局部非线性分数阶方程/最优控制/有界性Key words
nonlocal nonlinear fractional order equation/optimal control/boundedness分类
数理科学引用本文复制引用
贾姗姗,孟海霞..一类非局部非线性分数阶方程内部最优控制的存在性[J].吉林大学学报（理学版）,2025,63(5):1231-1238,8.基金项目
国家自然科学基金(批准号:11961039)和甘肃省自然科学基金(批准号:1310RJZA070). （批准号:11961039）
