A class of Hilfer fractional differential evolution hemivariational inequalities with history-dependent operators

被引：11

作者：

Jing, Zhao ^{[1
]}

Liu, Zhenhai ^{[2
,3
]}

Papageorgiou, Nikolaos S. ^{[4
]}

机构：

[1] Guangxi Univ Finance & Econ, Sch Math & Quantitat Econ, Nanning 530003, Peoples R China

[2] Yulin Normal Univ, Ctr Appl Math Guangxi, Yulin 537000, Peoples R China

[3] Guangxi Minzu Univ, Sch Math & Phys, Nanning 530006, Guangxi, Peoples R China

[4] Natl Tech Univ Athens, Dept Math, Zografou Campus, Athens 15780, Greece

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2024年 / 27卷 / 01期

关键词：

Hilfer fractional evolution inclusion; Hemivariational inequalities; History-dependent operators; Feasible pair; VARIATIONAL-INEQUALITIES; SENSITIVITY-ANALYSIS; PROBLEMS DRIVEN; EXISTENCE; CONTROLLABILITY; SYSTEMS; REGULARIZATION;

D O I：

10.1007/s13540-023-00228-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main purpose of this paper is to study an abstract system which consists of a parabolic hemivariational inequality with a Hilfer fractional evolution equation involving history-dependent operators, which is called a Hilfer fractional differential hemivariational inequality. We first show existence and a priori estimates for the parabolic hemivariational inequality. Then, by using the well-known Bohnenblust-Karlin fixed point theorem, we prove an existence theorem for the Hilfer fractional differential hemivariational inequality.

引用

页码：190 / 217

页数：28

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