Existence and optimal control results for Caputo fractional delay Clark's subdifferential inclusions of order r∈(1,2) with sectorial operators

被引：3

作者：

Raja, Marimuthu Mohan ^{[1
]}

Vijayakumar, Velusamy ^{[2
]}

Veluvolu, Kalyana Chakravarthy ^{[1
,5
]}

Shukla, Anurag ^{[3
]}

Nisar, Kottakkaran Sooppy ^{[4
]}

机构：

[1] Kyungpook Natl Univ, Sch Elect Engn, Daegu, South Korea

[2] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore, Tamil Nadu, India

[3] Rajkiya Engn Coll Kannauj, Dept Appl Sci, Kannauj, India

[4] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Alkharj, Dept Math, Alkharj, Saudi Arabia

[5] Kyungpook Natl Univ, Sch Elect Engn, Daegu 41566, South Korea

来源：

OPTIMAL CONTROL APPLICATIONS & METHODS | 2024年 / 45卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

fractional derivative; generalized Clarke's subdifferential; mild solution; multivalued analysis; optimal control; sectorial operators; APPROXIMATE CONTROLLABILITY; EVOLUTION INCLUSIONS; NONLOCAL CONDITIONS; MILD SOLUTIONS; SOLVABILITY; EQUATIONS;

D O I：

10.1002/oca.3125

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this study, we investigate the effect of Clarke's subdifferential type on theoptimal control results for fractional differential systems of order 1<r<2withdelay. The main findings of this study are tested by using multivalued functions,sectorial operators, fractional derivatives, and the fixed point theorem. To begin,the existence of mild solutions is established and verified primarily by using avery well multivalued fixed point theorem and the characteristics of generalizedClarke subdifferential problems. Furthermore, we get a finding on the existenceof optimal control for the presented control system under particular reasonableconditions. After that, we will move on to the time optimal control results forthe given system. Finally, an example for drawing the theory behind the mainconclusions is shown.

引用

页码：1832 / 1850

页数：19

共 48 条

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