Random fractional differential equations with Riemann-Liouville-type fuzzy differentiability concept
Random fractional differential equations with Riemann-Liouville-type fuzzy differentiability concept
Source title:
Journal of Intelligent & Fuzzy Systems, 36(6): 6467-6480,
2019
(ISI)
Academic year of acceptance:
2018-2019
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.