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A New Variant Of Fuzzy Fractional Dynamic System Driven By Time-Dependent Variational Inequality

Author

Listed:
  • SHENGDA ZENG

    (Key Laboratory of Complex System Optimization and Big Data Processing, Guangxi Colleges and Universities, Yulin Normal University, Yulin 537000, Guangxi, P. R. China)

  • YUNRU BAI

    (��School of Science, Guangxi University of Science and Technology, Liuzhou 545006, Guangxi, P. R. China)

  • JEN-CHIH YAO

    (��Research Center for Interneural Computing, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan)

  • VAN THIEN NGUYEN

    (�Department of Mathematics, FPT University, Education Zone, Hoa Lac High-Tech Park, Km29 Thang Long Highway, Thach That Ward, Hanoi, Vietnam)

Abstract

The primary goal of this paper is to study a nonlinear fuzzy fractional dynamic system (FFDS) involving a time-dependent variational inequality. We use the monotone argument and Knaster–Kuratowski–Mazurkiewicz (KKM) theorem to prove that the variational system of FFDS is solvable and its solutions become a bounded, closed and convex set. Employing this result together with Bohnenblust–Karlin fixed point theorem and Filippov implicit function, we show the existence of a mild solution to FFDS.

Suggested Citation

  • Shengda Zeng & Yunru Bai & Jen-Chih Yao & Van Thien Nguyen, 2022. "A New Variant Of Fuzzy Fractional Dynamic System Driven By Time-Dependent Variational Inequality," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(10), pages 1-13, December.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:10:n:s0218348x22401740
    DOI: 10.1142/S0218348X22401740
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