A NEW VARIANT OF FUZZY FRACTIONAL DYNAMIC SYSTEM DRIVEN BY TIME-DEPENDENT VARIATIONAL INEQUALITY-Reference-Cited by-同舟云学术

A NEW VARIANT OF FUZZY FRACTIONAL DYNAMIC SYSTEM DRIVEN BY TIME-DEPENDENT VARIATIONAL INEQUALITY

Published:2022-10-31 Issue:10 Volume:30 Page:
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

ZENG SHENGDA¹,BAI YUNRU²,YAO JEN-CHIH³,NGUYEN VAN THIEN⁴

Affiliation:

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

2. School of Science, Guangxi University of Science and Technology, Liuzhou 545006, Guangxi, P. R. China

3. Research Center for Interneural Computing, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

4. 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.

Funder

Natural Science Foundation of Guangxi

European Union’s Horizon Research and Innovation Program under the Marie Sklodowska-Curie

National Science Center of Poland under Preludium

Startup Project of Doctor Scientific Research of Yulin Normal University

NNSF of China Grant

Ministry of Science and Higher Education of Republic of Poland

National Science Centre of Poland

The research of Jen-Chih Yao

Publisher

World Scientific Pub Co Pte Ltd

Subject