Hyers-Ulam stability of Hermite fuzzy differential equations and fuzzy Mellin transform

Article type: Research Article

Authors: Ren, Wenjuan^a | Yang, Zhanpeng^{a; *} | Sun, Xian^a | Qi, Min^b

Affiliations: [a] Key Laboratory of Technology in Geo-spatial Information Processing and Application System, Institute of Electronics, Chinese Academy of Sciences, Beijing, PR China | [b] Basic Teaching Department, Beijing College of Finance and Commerce, Beijing, PR China

Correspondence: [*] Corresponding author. Zhanpeng Yang, Key Laboratory of Technology in Geo-spatial Information Processing and Application System, Institute of Electronics, Chinese Academy of Sciences, Beijing 100190, PR China. Tel: +86 010-58887208; E-mail: [email protected].

Abstract: In this paper, we introduce a fuzzy Mellin transform method for solving Hermite fuzzy differential equations. The fuzzy Mellin transform reduce the problem of solving a Hermite fuzzy differential equation to a problem of solving a difference equation, whose inverse transform gives the solution of the fuzzy differential equation at hands. Under some conditions, we also give some Hyers-Ulam stability result of Hermite fuzzy differential equations.

Keywords: Mellin transform method, Hermite fuzzy differential equation, H-difference

DOI: 10.3233/JIFS-18523

Journal: Journal of Intelligent & Fuzzy Systems, vol. 35, no. 3, pp. 3721-3731, 2018