Hyers–Ulam Stability and Existence of Solutions for Differential Equations with Caputo–Fabrizio Fractional Derivative

In this paper, the Hyers–Ulam stability of linear Caputo–Fabrizio fractional differential equation is established using the Laplace transform method. We also derive a generalized Hyers–Ulam stability result via the Gronwall inequality. In addition, we establish existenc...

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Bibliographic Details
Main Authors: Kui Liu, Michal Fečkan, D. O’Regan, JinRong Wang
Format: Article
Language:English
Published: MDPI AG 2019-04-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/7/4/333