An Analysis on the Time Optimal Control Results for Hilfer Fractional Hemivariational Inequalities

被引：0

作者：

Dhanush, A. ^{[1
]}

Vijayakumar, V. ^{[1
]}

机构：

[1] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, India

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2025年 / 19卷 / 06期

关键词：

Generalized Clarke subdifferential; Hilfer fractional derivative; Hemivariational inequalities; Multivalued maps; Time optimal control; CONTROLLABILITY; EXISTENCE; SOLVABILITY;

D O I：

10.1007/s11785-025-01772-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This manuscript examines the time optimal control results for Hilfer fractional hemivariational inequalities in Hilbert spaces. Then, we begin by establishing the existence results through fractional calculus, semigroup theory, the fixed point theorem for multivalued mappings, and the properties of the generalized Clarke subdifferential. Building on this foundation, we analyze the time optimal controls for the system under certain novel conditions. To illustrate our theoretical findings, we provide a concrete example demonstrating their applicability.

引用

页数：23

共 44 条

[1]

BOHNENBLUST HF, 1950, CONTRIBUTIONS THEORY, V1, P155

[2]

Brandeberry J. E., 1973, International Journal of Systems Science, V4, P417, DOI 10.1080/00207727308920023

[3]

Clarke F.H., 1990, Optimization and nonsmooth analysis

[4]

Denkowski Z., 2013, An introduction to nonlinear analysis: theory

[5] Time optimal control results for Hilfer fractional neutral stochastic differential equations [J].

Dhanush, A. ;

Vijayakumar, V. .

COMPLEX ANALYSIS AND OPERATOR THEORY, 2025, 19 (05)

[6] Results on the existence and time optimal control results for Hilfer fractional stochastic differential inclusions in Hilbert spaces [J].

Dhanush, A. ;

Vijayakumar, V. .

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2025, 71 (03) :3997-4023

[7] A discussion on the time optimal control results for a class of Hilfer fractional neutral dynamical systems [J].

Dhanush, A. ;

Vijayakumar, V. .

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2025, 71 (03) :2985-3008

[8]

Fattorini H., 1964, Applied Mathematics and Optimization, V2, P54, DOI DOI 10.1137/0302005

[9] Existence and uniqueness for a problem involving Hilfer fractional derivative [J].

Furati, K. M. ;

Kassim, M. D. ;

Tatar, N. E- .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (06) :1616-1626

[10] Existence of mild solution for evolution equation with Hilfer fractional derivative [J].

Gu, Haibo ;

Trujillo, Juan J. .

APPLIED MATHEMATICS AND COMPUTATION, 2015, 257 :344-354

← 1 2 3 4 5 →