Improved order in Hilfer fractional differential systems: Solvability and optimal control problem for hemivariational inequalities

被引：1

作者：

Raja, Marimuthu Mohan ^{[1
]}

Vijayakumar, V. ^{[2
]}

Veluvolu, Kalyana Chakravarthy ^{[1
]}

机构：

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

[2] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India

来源：

CHAOS SOLITONS & FRACTALS | 2024年 / 188卷

基金：

新加坡国家研究基金会;

关键词：

Hilfer fractional derivative; Optimal control; Semigroup theory; Hemivariational inequalities; Filter diagram; Fixed point theorem; DELAY EVOLUTION INCLUSIONS; APPROXIMATE CONTROLLABILITY; EXISTENCE; EQUATIONS;

D O I：

10.1016/j.chaos.2024.115558

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main objective of this study is to analyze the optimal control results and solvability concerning Hilfer fractional differential hemivariational inequalities within the range of (1 < rho 2). Initially, we explore the solvability of a mild solutions for the Hilfer fractional hemivariational inequality. Subsequently, we investigate the optimal control strategies for the given problems by employing cost functionals, cosine operators, mild solutions, the fixed point method for multivalued functions, and a generalized Clarke subdifferential approach. To illustrate our findings, we provide a practical example and a filter diagram.

引用

页数：16

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