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Ulam-Hyers stability of uncertain functional differential equation in fuzzy setting with Caputo-Hadamard fractional derivative concept


Ho Vu, Truong Vinh An, Ngo Van Hoa*

Source title: 
Journal of Intelligent and Fuzzy Systems, 38(2): 2245-2259, 2020 (ISI)
Academic year of acceptance: 

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.