引用本文:吴欣锟.一类新的混合分数阶可微变分不等式的拓扑处理方法[J].西南大学学报(自然科学版),2019,41(12):69~73
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一类新的混合分数阶可微变分不等式的拓扑处理方法
吴欣锟
黔南民族师范学院 数学与统计学院, 贵州 都匀 558000
摘要:
在可微变分不等式和分数阶可微变分不等式的基础上首次引进和研究了一类新的混合分数阶可微变分不等式.给出了这类新的混合分数阶可微变分不等式的模型,并详细地说明了模型中的符号所代表的数学意义,证明了该模型的解集是非空的.
关键词:  分数阶可微变分不等式  混合分数阶可微变分不等式  解集
DOI:10.13718/j.cnki.xdzk.2019.12.010
分类号:O178
基金项目:贵州省联合基金项目(黔科合LH字[2016]7102).
Topological Methods for a New Class of Fractional Mixed Differential Variational Inequalities
WU Xin-kun
College of Mathematics and Statistics, Qiannan Normal University for Nationalities, Duyun Guizhou 558000, China
Abstract:
Based on fractional differential variational inequality and fractional mixed differential variational inequality, a new class of fractional mixed differential variational inequalities are introduced and studied in this paper. First, a model of this class of fractional mixed differential variational inequalities is given. Then, a detailed description is given of the mathematical meanings of the symbols in this model. Finally, it is proved that the set of solutions of this model is non-empty.
Key words:  fractional differential variational inequality  fractional mixed differential variational inequality  set of solutions
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