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Hyers-Ulam stability of random functional differential equation involving fractional-order derivative

Authors: 

Ho Vu, Ngo Van Hoa

Source title: 
Computational and Applied Mathematics, 41(204), 2022 (ISI)
Academic year of acceptance: 
2021-2022
Abstract: 

In this paper, we investigate the existence of solutions for the random fractional differential equations (RFDEs) with delay by employing Banach and Schaefer’s fixed point theorems. In addition, we present the Hyers–Ulam stability (HUS) and Hyers–Ulam–Rassias stability (HURS) for RFDEs with delay through using Gronwall inequality. Two examples are given to visualize theoretical results.