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Generalized fractional evolution equations driven by fuzzy variational inequalities
Fuzzy Sets and Systems ( IF 3.9 ) Pub Date : 2021-01-18 , DOI: 10.1016/j.fss.2021.01.005
Shengda Zeng , Jinxia Cen , Van Thien Nguyen

The aim of this paper is to study a comprehensive dynamics system called fractional fuzzy differential variational inequality, which is composed of a nonlinear fractional differential equation with Atangana-Baleanu fractional derivative and a time-dependent fuzzy variational inequality. We explore an existence and uniqueness theorem for the dynamics system under consideration. Our proof is based on F-KKM theorem, Banach fixed point principle, and the theory of monotone operators.



中文翻译:

由模糊变分不等式驱动的广义分数阶演化方程

本文的目的是研究一种称为分数模糊微分变分不等式的综合动力学系统,该系统由具有Atangana-Baleanu分数阶导数的非线性分数阶微分方程和随时间变化的模糊变分不等式组成。我们探讨了所考虑的动力学系统的一个存在性和唯一性定理。我们的证明基于F-KKM定理,Banach不动点原理和单调算子理论。

更新日期:2021-01-19
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