Authors: Nguyen Dinh Phu ^a, Vasile Lupulescu ^b, Ngo Van Hoa ^c,d,∗

Affiliations:

^[a] Faculty of Engineering Technology, Quang Trung University, Vietnam

^[b] Constantin Brancusi University, Republicii 1, 210152 Targu-Jiu, Romania

^[c] Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam

^[d] Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

Received 12 February 2019; received in revised form 25 May 2020; accepted 11 October 2020

Available online 16 October 2020

Journal:  Journal of Intelligent & Fuzzy Systems xx (20xx) x–xx

Article type: Research Article

Abstract: 

In this paper, a class of fuzzy fractional functional differential equations of neutral type is investigated. The existence, uniqueness and iterative formula in the case of linear equations are obtained. Meanwhile, the continuous dependence of solutions on initial data, parameters and functions involved in right hand side of equation is also discussed. Several examples are given to illustrate the applications of our results.

© 2020 Elsevier B.V. All rights reserved.

Keywords: Fractional fuzzy calculus; Fractional fuzzy differential equations; Neutral fuzzy differential equations