Optimal Controls for Fractional Backward Nonlocal Evolution Systems

IF 1.4 4区数学 Q2 MATHEMATICS, APPLIED

Numerical Functional Analysis and Optimization Pub Date : 2023-05-22 DOI:10.1080/01630563.2023.2212494

Shouguo Zhu

引用次数: 0

Abstract

Abstract This article analyzes a Caputo type fractional backward nonlocal evolution control system. By means of a joint combination of resolvent theory with the approximation solvability technique, we dispense with the compactness assumption on the semigroup and the Lipschitz restriction on the nonlinear term when we treat the existence of solutions. Furthermore, we launch a new method of formulating minimizing sequences twice and the weak topology technique to explore the optimal control problem (OP). Finally, the plausibility of our mentioned results is supported by a simple application.

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分数阶后向非局部进化系统的最优控制

摘要分析了一类Caputo型分数阶后向非局部演化控制系统。利用可解性理论与近似可解技术的联合结合，我们在处理解的存在性时，省去了半群上的紧性假设和非线性项上的Lipschitz限制。在此基础上，我们提出了一种新的两次构造最小化序列的方法和弱拓扑技术来研究最优控制问题。最后，一个简单的应用程序支持了上述结果的合理性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Numerical Functional Analysis and Optimization 数学-应用数学

CiteScore

2.40

自引率

8.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Numerical Functional Analysis and Optimization is a journal aimed at development and applications of functional analysis and operator-theoretic methods in numerical analysis, optimization and approximation theory, control theory, signal and image processing, inverse and ill-posed problems, applied and computational harmonic analysis, operator equations, and nonlinear functional analysis. Not all high-quality papers within the union of these fields are within the scope of NFAO. Generalizations and abstractions that significantly advance their fields and reinforce the concrete by providing new insight and important results for problems arising from applications are welcome. On the other hand, technical generalizations for their own sake with window dressing about applications, or variants of known results and algorithms, are not suitable for this journal. Numerical Functional Analysis and Optimization publishes about 70 papers per year. It is our current policy to limit consideration to one submitted paper by any author/co-author per two consecutive years. Exception will be made for seminal papers.