Two-point boundary value problems for first-order nonlinear fuzzy differential equation¹

Article type: Research Article

Authors: Wang, Hongzhou^*

Affiliations: School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China

Correspondence: [*] Corresponding author. Hongzhou Wang, School of Mathematics and Statistics, Beijing Institute of Technology, Haidian District 100081, Beijing, China. Tel./Fax: +86 010 6891 3829; E-mail: [email protected].

Note: [1] This work was supported by National Natural Science Foundation of China (No. 11471036).

Abstract: This paper provides some existence results about first-order fuzzy differential equations with two-point boundary value conditions. We firstly study a class of linear fuzzy differential equation, the results are applied to discuss some nonlinear fuzzy boundary value problems. By using contraction mapping principle in complete metric space, we obtain some existence results about first-order nonlinear fuzzy differential equation with boundary value condition x (0) = αx (T), where α ∈ R.

Keywords: Nonlinear fuzzy differential equations, two-point boundary value problem, contracting mapping principle

DOI: 10.3233/IFS-152081

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 6, pp. 3335-3347, 2016