Fractional partial differential variational inequality

被引：4
作者：
Cen, Jinxia [1 ]
Sousa, J. Vanterler da C. [2 ]
Wu, Wei [3 ,4 ]
机构：
[1] Zhejiang Normal Univ, Sch Math Sci, Jinhua 321004, Peoples R China
[2] DEMATI UEMA, PPGEA UEMA, Dept Math, Aerosp Engn, BR-65054 Sao Luis, MA, Brazil
[3] Yulin Normal Univ, Ctr Appl Math Guangxi, Yulin 537000, Guangxi, Peoples R China
[4] Yulin Normal Univ, Guangxi Coll & Univ Key Lab Complex Syst Optimizat, Yulin 537000, Guangxi, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2024年 / 128卷
基金：
欧盟地平线“2020”; 中国博士后科学基金;
关键词：
Fractional partial differential variational; inequality; Nonlocal boundary condition; Mittag-Leffler functions; Existence; Measure of noncompactness; HEMIVARIATIONAL INEQUALITIES; NUMERICAL-ANALYSIS; DRIVEN; MODEL;
D O I：
10.1016/j.cnsns.2023.107600
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this present paper, we introduce and study a dynamical systems involving fractional deriva-tive operator and nonlocal condition, which is constituted of a fractional evolution equation and a time-dependent variational inequality, and is named as fractional partial differential variational inequality (FPDVI, for short). By employing the estimates involving the one-and two-parameter Mittag-Leffler functions, fixed-point theory for set-value mappings, and non compactness measure theory, we develop a general framework to establish the existence of smooth solutions to (FPDVI).
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页数：10
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