Random fuzzy functional integro-differential equations under generalized Hukuhara differentiability

Article type: Research Article

Authors: Vu, Ho | Dong, Le Si | Hoa, Ngo Van

Affiliations: Division of Computational Mathematics and Engineering (CME), Institute for Computational Science (INCOS), Ton Duc Thang University, Viet Nam | Faculty of Basic Education, Banking University, Ho Chi Minh city, Viet Nam

Note: [] Corresponding author. Ho Vu, Division of Computational Mathematics and Engineering, Ton Duc Thang University, Ho Chi Minh city, Viet Nam. E-mails: [email protected] or [email protected]

Abstract: In this paper, we prove the existence and uniqueness results for the random fuzzy functional integro-differential equations under generalized Hukuhara differentiability. For the existence and uniqueness, we use the method of successive approximations. Some kinds of boundedness of the solution are established. Moreover, we provide examples to illustrate the results.

Keywords: Fuzzy integro-differential equations, fuzzy random variable, Hukuhara differentiability, method of successive approximations

DOI: 10.3233/IFS-131116

Journal: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 3, pp. 1491-1506, 2014