Affiliations: [a] Faculty of Mathematical Economics, Banking University of Ho Chi Minh City, Vietnam
| [b] Faculty of Applied Sciences, University of Technology and Education Ho Chi Minh City, Vietnam
| [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
Correspondence:
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Corresponding author. Ngo Van Hoa, Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam. E-mail: [email protected].
Abstract: In this paper an initial value problem for random fuzzy fractional differential equations (RFFDEs) with Riemann-Liouville generalized Hukuhara differentiability are introduced. The equivalence between a random fuzzy fractional differential equation and a random fuzzy fractional integral equation under suitable conditions is shown. In addition, the existence and uniqueness results for RFFDEs using the idea of successive approximations are presented.
Keywords: Random fractional differential equations, Riemann-Liouville generalized Hukuhara differentiability
