Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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EXISTENCE OF EXTREMAL SOLUTIONS FOR FUZZY DIFFERENTIAL EQUATIONS DRIVEN BY LIU PROCESS

  • KWUN, YOUNG CHEL (Department of Mathematics, Dong-A University) ;
  • KIM, JEONG SOON (Department of Mathematics, Dong-A University) ;
  • PARK, YOUNG IL (Department of Naval Architecture and Offshore Engineering, Dong-A University) ;
  • PARK, JIN HAN (Department of Applied Mathematics, Pukyong National University)
  • Received : 2021.03.17
  • Accepted : 2021.04.02
  • Published : 2021.05.30
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Abstract

In this paper, we study existence of extremal solutions for fuzzy differential equations driven by Liu process. To show extremal solutions, we define partial ordering relative to fuzzy process. This is an extension of the results of Kwun et al. [5] and Rodríguez-López [13] to fuzzy differential equations in credibility space.

Keywords

Acknowledgement

This work was supported by research fund of Dong-A University Academic Research Support Foundation.

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