MIXED VARIATIONAL INEQUALITIES DRIVEN BY FRACTIONAL EVOLUTIONARY EQUATIONS

doi:10.1007/s10473-019-0211-9

数学物理学报(英文版) ›› 2019, Vol. 39 ›› Issue (2): 461-468.doi: 10.1007/s10473-019-0211-9

MIXED VARIATIONAL INEQUALITIES DRIVEN BY FRACTIONAL EVOLUTIONARY EQUATIONS

Stanisłw MIGÓRSKI, Shengda ZENG

1. College of Sciences, Beibu Gulf University, Qinzhou 535000, China;Chair of Optimization and Control, Jagiellonian University in Krakow, ul. Lojasiewicza 6, 30348 Krakow, Poland;
2. Faculty of Mathematics and Computer Science, Jagiellonian University in Krakow, ul. Lojasiewicza 6, 30348 Krakow, Poland

收稿日期:2018-01-26 修回日期:2018-10-15 出版日期:2019-04-25 发布日期:2019-05-06
通讯作者: Shengda ZENG E-mail:zengshengda@163.com;shengdazeng@gmail.com;shdzeng@hotmail.com
作者简介:Stanisłw MIGÓRSKI,stanislaw.migorski@uj.edu.pl
基金资助:
This project has received funding from the European Union's Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie grant agreement (823731--CONMECH). It is supported by the National Science Center of Poland under Maestro Project (UMO-2012/06/A/ST1/00262), and National Science Center of Poland under Preludium Project (2017/25/N/ST1/00611). The first author is also supported by the International Project co-financed by the Ministry of Science and Higher Education of Republic of Poland (3792/GGPJ/H2020/2017/0), Qinzhou University Project (2018KYQD06), and National Natural Sciences Foundation of Guangxi (2018JJA110006).

MIXED VARIATIONAL INEQUALITIES DRIVEN BY FRACTIONAL EVOLUTIONARY EQUATIONS

Stanisłw MIGÓRSKI, Shengda ZENG

1. College of Sciences, Beibu Gulf University, Qinzhou 535000, China;Chair of Optimization and Control, Jagiellonian University in Krakow, ul. Lojasiewicza 6, 30348 Krakow, Poland;
2. Faculty of Mathematics and Computer Science, Jagiellonian University in Krakow, ul. Lojasiewicza 6, 30348 Krakow, Poland

Received:2018-01-26 Revised:2018-10-15 Online:2019-04-25 Published:2019-05-06
Contact: Shengda ZENG E-mail:zengshengda@163.com;shengdazeng@gmail.com;shdzeng@hotmail.com
Supported by:
This project has received funding from the European Union's Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie grant agreement (823731--CONMECH). It is supported by the National Science Center of Poland under Maestro Project (UMO-2012/06/A/ST1/00262), and National Science Center of Poland under Preludium Project (2017/25/N/ST1/00611). The first author is also supported by the International Project co-financed by the Ministry of Science and Higher Education of Republic of Poland (3792/GGPJ/H2020/2017/0), Qinzhou University Project (2018KYQD06), and National Natural Sciences Foundation of Guangxi (2018JJA110006).

摘要/Abstract

摘要： The goal of the present paper is to investigate an abstract system, called fractional differential variational inequality, which consists of a mixed variational inequality combined with a fractional evolution equation in the framework of Banach spaces. Using discrete approximation approach, an existence theorem of solutions for the inequality is established under some suitable assumptions.

关键词: fractional differential variational inequality, C₀-semigroup, Minty mixed variational inequality, existence, mild solutions

Abstract: The goal of the present paper is to investigate an abstract system, called fractional differential variational inequality, which consists of a mixed variational inequality combined with a fractional evolution equation in the framework of Banach spaces. Using discrete approximation approach, an existence theorem of solutions for the inequality is established under some suitable assumptions.

Key words: fractional differential variational inequality, C₀-semigroup, Minty mixed variational inequality, existence, mild solutions

Stanisłw MIGÓRSKI, Shengda ZENG. MIXED VARIATIONAL INEQUALITIES DRIVEN BY FRACTIONAL EVOLUTIONARY EQUATIONS[J]. 数学物理学报(英文版), 2019, 39(2): 461-468.

Stanisłw MIGÓRSKI, Shengda ZENG. MIXED VARIATIONAL INEQUALITIES DRIVEN BY FRACTIONAL EVOLUTIONARY EQUATIONS[J]. Acta mathematica scientia,Series B, 2019, 39(2): 461-468.

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MIXED VARIATIONAL INEQUALITIES DRIVEN BY FRACTIONAL EVOLUTIONARY EQUATIONS

MIXED VARIATIONAL INEQUALITIES DRIVEN BY FRACTIONAL EVOLUTIONARY EQUATIONS

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