Application of contractive-like mapping principles to impulsive fuzzy functional differential equation

Article type: Research Article

Authors: Vu, Ho^{a; b; *} | Dong, Le Si^c | Phung, Nguyen Ngoc^c

Affiliations: [a] Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam | [b] Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam | [c] Faculty of Mathematical Economics, Banking University of Ho Chi Minh City, Vietnam

Correspondence: [*] Corresponding author. Ho Vu, Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Viet Nam. E-mail: hovu@tdt.edu.vn.

Abstract: In this paper, we prove the existence and uniqueness of solution for the impulsive fuzzy functional differential equation under Hukuhara derivative.

Keywords: Impulsive differential equation, fuzzy differential equation, contractive-like mapping principles, partiallyordered set

DOI: 10.3233/JIFS-161919

Journal: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 2, pp. 753-759, 2017