DECAY MILD SOLUTIONS OF FRACTIONAL DIFFERENTIAL HEMIVARIATIONAL INEQUALITIES

被引：5
|
作者：
Li, Xiuwen [1 ]
Liu, Zhenhai [2 ]
Luo, Ricai [3 ]
机构：
[1] Guangxi Univ Nationalities, Guangxi Key Lab Hybrid Computat & IC Design Anal, Nanning 530006, Guangxi, Peoples R China
[2] Yulin Normal Univ, Guangxi Coll & Univ Key Lab Complex Syst Optimiza, Yulin 537000, Guangxi, Peoples R China
[3] Hechi Univ, Sch Math & Phys, Yizhou 456300, Guangxi, Peoples R China
来源：
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2022年 / 59卷 / 01期
关键词：
Decay mild solutions; fractional differential hemivariational in-equalities; fixed point theorem; measure of noncompactness; Mittag-Leffler function; SENSITIVITY-ANALYSIS;
D O I：
10.12775/TMNA.2021.032
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The goal of this paper is to consider fractional differential hemivariational inequalities (FDHVIs, for short) in the framework of Banach spaces. Our first aim is to investigate the existence of mild solutions to FDHVIs by means of a fixed point technique avoiding the hypothesis of compactness on the semigroup. The second step of the paper is to study the existence of decay mild solutions to FDHVIs via giving asymptotic behavior of Mittag-Leffler function.
引用
收藏
页码：131 / 151
页数：21
相关论文
共 50 条
  • [41] ON MAXIMUM RATE OF DECAY OF SOLUTIONS OF PARABOLIC DIFFERENTIAL INEQUALITIES
    OGAWA, H
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1970, 38 (03) : 173 - &
  • [42] On the approximate controllability for neutral fractional stochastic differential hemivariational inequalities with history-dependent operator
    Vivek, S.
    Panda, Sumati Kumari
    Vijayakumar, V.
    Radhika, T.
    Chandrasekar, A.
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2025, 422 : 329 - 354
  • [43] Numerical Studies of a Class of Thermoviscoelastic Frictional Contact Problem Described by Fractional Differential Hemivariational Inequalities
    Xuan, Hailing
    Cheng, Xiaoliang
    Yuan, Lele
    JOURNAL OF SCIENTIFIC COMPUTING, 2025, 103 (01)
  • [44] A class of differential hemivariational inequalities in Banach spaces
    Migorski, Stanislaw
    Zeng, Shengda
    JOURNAL OF GLOBAL OPTIMIZATION, 2018, 72 (04) : 761 - 779
  • [45] A class of differential hemivariational inequalities in Banach spaces
    Stanisław Migórski
    Shengda Zeng
    Journal of Global Optimization, 2018, 72 : 761 - 779
  • [46] On the Approximate Controllability for Hilfer Fractional Evolution Hemivariational Inequalities
    Wang, JinRong
    Liu, Xianghu
    O'Regan, D.
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2019, 40 (07) : 743 - 762
  • [47] Optimal control results for fractional differential hemivariational inequalities of order r ∈(1,2)
    Johnson, M.
    Mohan Raja, M.
    Vijayakumar, V.
    Shukla, Anurag
    OPTIMIZATION, 2024,
  • [48] 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
  • [49] ASYMPTOTICALLY PERIODIC SOLUTIONS FOR FRACTIONAL DIFFERENTIAL VARIATIONAL INEQUALITIES
    Van Anh, Nguyen Thi
    FIXED POINT THEORY, 2023, 24 (02): : 459 - 486
  • [50] Multiple solutions for a class of elliptic hemivariational inequalities
    Marano, S. A.
    Bisci, G. Molica
    Motreanu, D.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 337 (01) : 85 - 97
12345