THE NONEMPTINESS AND COMPACTNESS OF MILD SOLUTION SETS FOR RIEMANN-LIOUVILLE FRACTIONAL DELAY DIFFERENTIAL VARIATIONAL INEQUALITIES

doi:10.1007/s10473-021-0510-9

数学物理学报(英文版) ›› 2021, Vol. 41 ›› Issue (5): 1569-1578.doi: 10.1007/s10473-021-0510-9

THE NONEMPTINESS AND COMPACTNESS OF MILD SOLUTION SETS FOR RIEMANN-LIOUVILLE FRACTIONAL DELAY DIFFERENTIAL VARIATIONAL INEQUALITIES

蒋宜蓉¹, 魏周超², 卢景苹¹

1. College of Science, Guilin University of Technology, Guilin 541004, China;
2. School of Mathematics and Physics, China University of Geosciences(Wuhan), Wuhan 430074, China

收稿日期:2020-01-10 修回日期:2021-04-11 出版日期:2021-10-25 发布日期:2021-10-21
通讯作者: Jingping LU E-mail:lujingbaby520@163.com
作者简介:Yirong JIANG,E-mail:jiangyirong996@126.com;Zhouchao WEI,E-mail:weizhouchao@163.com
基金资助:
This work was supported by the National Natural Science Foundation of China (11772306), Natural Science Foundation of Guangxi Province (2018GXNSFAA281021), Guangxi Science and Technology Base Foundation (AD20159017), the Foundation of Guilin University of Technology (GUTQDJJ2017062) and the Fundamental Research Funds for the Central Universities, China University of Geosciences (Wuhan) (CUGGC05).

THE NONEMPTINESS AND COMPACTNESS OF MILD SOLUTION SETS FOR RIEMANN-LIOUVILLE FRACTIONAL DELAY DIFFERENTIAL VARIATIONAL INEQUALITIES

Yirong JIANG¹, Zhouchao WEI², Jingping LU¹

1. College of Science, Guilin University of Technology, Guilin 541004, China;
2. School of Mathematics and Physics, China University of Geosciences(Wuhan), Wuhan 430074, China

Received:2020-01-10 Revised:2021-04-11 Online:2021-10-25 Published:2021-10-21
Contact: Jingping LU E-mail:lujingbaby520@163.com
Supported by:
This work was supported by the National Natural Science Foundation of China (11772306), Natural Science Foundation of Guangxi Province (2018GXNSFAA281021), Guangxi Science and Technology Base Foundation (AD20159017), the Foundation of Guilin University of Technology (GUTQDJJ2017062) and the Fundamental Research Funds for the Central Universities, China University of Geosciences (Wuhan) (CUGGC05).

摘要/Abstract

摘要： This paper investigates the nonemptiness and compactness of the mild solution set for a class of Riemann-Liouville fractional delay differential variational inequalities, which are formulated by a Riemann-Liouville fractional delay evolution equation and a variational inequality. Our approach is based on the resolvent technique and a generalization of strongly continuous semigroups combined with Schauder's fixed point theorem.

关键词: differential variational inequality, Riemann-Liouville fractional delay evolution equation, resolvent, Schauder's fixed point theorem

Abstract: This paper investigates the nonemptiness and compactness of the mild solution set for a class of Riemann-Liouville fractional delay differential variational inequalities, which are formulated by a Riemann-Liouville fractional delay evolution equation and a variational inequality. Our approach is based on the resolvent technique and a generalization of strongly continuous semigroups combined with Schauder's fixed point theorem.

Key words: differential variational inequality, Riemann-Liouville fractional delay evolution equation, resolvent, Schauder's fixed point theorem

中图分类号:

34A08

蒋宜蓉, 魏周超, 卢景苹. THE NONEMPTINESS AND COMPACTNESS OF MILD SOLUTION SETS FOR RIEMANN-LIOUVILLE FRACTIONAL DELAY DIFFERENTIAL VARIATIONAL INEQUALITIES[J]. 数学物理学报(英文版), 2021, 41(5): 1569-1578.

Yirong JIANG, Zhouchao WEI, Jingping LU. THE NONEMPTINESS AND COMPACTNESS OF MILD SOLUTION SETS FOR RIEMANN-LIOUVILLE FRACTIONAL DELAY DIFFERENTIAL VARIATIONAL INEQUALITIES[J]. Acta mathematica scientia,Series B, 2021, 41(5): 1569-1578.

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THE NONEMPTINESS AND COMPACTNESS OF MILD SOLUTION SETS FOR RIEMANN-LIOUVILLE FRACTIONAL DELAY DIFFERENTIAL VARIATIONAL INEQUALITIES

THE NONEMPTINESS AND COMPACTNESS OF MILD SOLUTION SETS FOR RIEMANN-LIOUVILLE FRACTIONAL DELAY DIFFERENTIAL VARIATIONAL INEQUALITIES

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