This paper is devoted to exploring the fractional incompressible Navier–Stokes system coupled with a fractional reaction–diffusion equation involving multivalued boundary conditions and weakly continuous operators. Under suitable conditions, the solvability of the coupled system is established by the Rothe method, a surjectivity result for multivalued mappings, and a fixed point argument for a fractional reaction–diffusion equation.

中文翻译：

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与多值边界条件耦合的一类新型分数纳维-斯托克斯系统


本文致力于探索分数式不可压缩纳维-斯托克斯系统以及涉及多值边界条件和弱连续算子的分数式反应扩散方程。在适当的条件下，耦合系统的可解性通过 Rothe 方法、多值映射的满射结果以及分数反应扩散方程的定点参数来确定。