Stability for initial value problems of fuzzy Volterra integro-differential equation with fractional order derivative
Stability for initial value problems of fuzzy Volterra integro-differential equation with fractional order derivative
Source title:
Journal of Intelligent and Fuzzy Systems, 37(4): 5669-5688,
2019
(ISI)
Academic year of acceptance:
2019-2020
Abstract:
The results of this paper is motivated from some recent papers treating the problem of the existence and stability of a solution for Volterra integro-differential equations in fuzzy setting with fractional order derivative (FFVIDEs). By constructing successive approximation method in the space of fuzzy functions, we establish the Ulam-Hyers stability and Ulam-Hyers-Rassias stability for the given problems with two concepts of fuzzy-type fractional derivative.