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
收藏
页码：190 / 217
页数：28
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