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

doi:10.1007/s10473-021-0510-9

Acta mathematica scientia,Series B ›› 2021, Vol. 41 ›› Issue (5): 1569-1578.doi: 10.1007/s10473-021-0510-9

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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).

Abstract

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

CLC Number:

34A08

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

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