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
相关论文
共 50 条
  • [41] Sensitivity analysis for optimal control problems governed by Hilfer fractional differential hemivariational inequalities
    Yirong Jiang
    Qiqing Song
    Jiangtao Liu
    Fractional Calculus and Applied Analysis, 2023, 26 : 1104 - 1144
  • [42] A class of fractional differential hemivariational inequalities with application to contact problem
    Shengda Zeng
    Zhenhai Liu
    Stanislaw Migorski
    Zeitschrift für angewandte Mathematik und Physik, 2018, 69
  • [43] A new class of fractional impulsive differential hemivariational inequalities with an application
    Weng, Yun-hua
    Chen, Tao
    Huang, Nan-jing
    O'Regan, Donal
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2022, 27 (01):
  • [44] A new class of fractional impulsive differential hemivariational inequalities with an application*
    Weng, Yun-Hua
    Chen, Tao
    Huang, Nan-Jing
    O'Regan, Donal
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2022, 27 (02): : 199 - 220
  • [45] A class of fractional differential hemivariational inequalities with application to contact problem
    Zeng, Shengda
    Liu, Zhenhai
    Migorski, Stanislaw
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2018, 69 (02):
  • [46] Dynamic history-dependent variational-hemivariational inequalities with applications to contact mechanics
    Migorski, Stanislaw
    Ogorzaly, Justyna
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2017, 68 (01):
  • [47] Dynamic history-dependent variational-hemivariational inequalities with applications to contact mechanics
    Stanislaw Migórski
    Justyna Ogorzaly
    Zeitschrift für angewandte Mathematik und Physik, 2017, 68
  • [48] A class of evolution hemivariational inequalities
    Liu, ZH
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 36 (01) : 91 - 100
  • [49] Improved order in Hilfer fractional differential systems: Solvability and optimal control problem for hemivariational inequalities
    Raja, Marimuthu Mohan
    Vijayakumar, V.
    Veluvolu, Kalyana Chakravarthy
    CHAOS SOLITONS & FRACTALS, 2024, 188
  • [50] Rothe method and numerical analysis for history-dependent hemivariational inequalities with applications to contact mechanics
    Stanisław Migórski
    Shengda Zeng
    Numerical Algorithms, 2019, 82 : 423 - 450
12345