Journal of Jilin University Science Edition ›› 2024, Vol. 62 ›› Issue (2): 222-0236.
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LI Huimin, GU Haibo
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Abstract: We considered a class of dynamic fuzzy systems, which consisted of fuzzy Atangana-Baleanu fractional differential inclusion and variational inequalities, called fuzzy fractional differential variational inequalities (FFDVI). It included the two fields of fuzzy fractional differential inclusion and variational inequalities, expanding the researchable problems in fuzzy environments. The model captured the desired features of the fuzzy fractional differential inclusion and fractional differential variational inequalities within the same framework. By using Krasnoselskii fixed point theorem, the existence of solutions of FFDVI under some mild conditions was obtained.
Key words: Atangana-Baleanu fractional derivative, fractional fuzzy differential variational inequality, Krasnoselskii fixed point theorem, existence of solution
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LI Huimin, GU Haibo. Existence of Solutions for a Class of Fuzzy Fractional Differential Inclusion Systems Driven by Variational Inequalities[J].Journal of Jilin University Science Edition, 2024, 62(2): 222-0236.
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