Ulam-Hyers stability of uncertain functional differential equation in fuzzy setting with Caputo-Hadamard fractional derivative concept
Ulam-Hyers stability of uncertain functional differential equation in fuzzy setting with Caputo-Hadamard fractional derivative concept
Source title:
Journal of Intelligent and Fuzzy Systems, 38(2): 2245-2259,
2020
(ISI)
Academic year of acceptance:
2019-2020
Abstract:
In this work, by using the Caputo-Hadamard fractional derivative concept, we propose a new class of fuzzy functional differential equation. In this sense, we establish the existence of the solution, the Ulam-Hyers stability and the Ulam-Hyers-Mittag-Leffler stability for the given problem by means of successive approximation method.