一类新的混合分数阶可微变分不等式的拓扑处理方法

Topological Methods for a New Class of Fractional Mixed Differential Variational Inequalities

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.

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.