Fuzzy functional integro-differential equations under generalized H-differentiability

Article type: Research Article

Authors: Hoa, Ngo Van | Phu, Nguyen Dinh

Affiliations: Division of Applied Mathematics, Ton Duc Thang University, Hochiminh City, Vietnam | Faculty of Mathematics and Computer Science, University of Science, VNU HoChiMinh City, Vietnam

Note: [] Corresponding author. Ngo Van Hoa, Division of Applied Mathematics, Ton Duc Thang University, Nguyen Huu Tho Street, District 7, Hochiminh City, Vietnam. E-mail: [email protected]

Abstract: In this paper, we present the studies on two kinds of solutions to fuzzy functional integro-differential equations (FFIDEs). The different types of solutions to FFIDEs are generated by the usage of two different concepts of fuzzy derivative in the formulation of a differential problem. Some examples are given to illustrate these results.

Keywords: Fuzzy sets, fuzzy differential equations, generalized Hukuhara derivative, fuzzy functional integro-differential equations

DOI: 10.3233/IFS-130883

Journal: Journal of Intelligent & Fuzzy Systems, vol. 26, no. 4, pp. 2073-2085, 2014