A fixed point approach to the Ulam stability of fuzzy differential equations under generalized differentiability

Article type: Research Article

Authors: Shen, Yonghong^{a; b; *} | Wang, Faxing^c

Affiliations: [a] School of Mathematics and Statistics, Tianshui Normal University, Tianshui, P.R. China | [b] School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, P.R. China | [c] Tongda College of Nanjing University of Posts and Communications, Nanjing, P.R. China

Correspondence: [*] Corresponding author. Yonghong Shen. Tel.: +86 18693820708; E-mail: [email protected].

Abstract: Under some appropriate conditions and generalized differentiability, we study the Ulam stability of the fuzzy differential equation x′ (t) = F (t, x (t)) by employing the fixed point technique.

Keywords: Ulam stability, fuzzy differential equations, generalized differentiability, fixed point

DOI: 10.3233/IFS-152073

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 6, pp. 3253-3260, 2016