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Open AccessArticle

A Fixed-Point Approach to the Hyers–Ulam Stability of Caputo–Fabrizio Fractional Differential Equations

by Kui Liu 1,2, Michal Fečkan 3,4,* and JinRong Wang 1,5
1
Department of Mathematics, Guizhou University, Guiyang 550025, China
2
College of Science, Guizhou Institute of Technology, Guiyang 550025, China
3
Department of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava, Mlynská dolina, 842 48 Bratislava, Slovakia
4
Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, 814 73 Bratislava, Slovakia
5
School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(4), 647; https://doi.org/10.3390/math8040647
Received: 31 March 2020 / Revised: 18 April 2020 / Accepted: 19 April 2020 / Published: 22 April 2020
(This article belongs to the Special Issue Topological Methods in Nonlinear Analysis)
In this paper, we study Hyers–Ulam and Hyers–Ulam–Rassias stability of nonlinear Caputo–Fabrizio fractional differential equations on a noncompact interval. We extend the corresponding uniqueness and stability results on a compact interval. Two examples are given to illustrate our main results. View Full-Text
Keywords: Caputo–Fabrizio fractional differential equations; fixed-point theory; Hyers–Ulam stability Caputo–Fabrizio fractional differential equations; fixed-point theory; Hyers–Ulam stability
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Liu, K.; Fečkan, M.; Wang, J. A Fixed-Point Approach to the Hyers–Ulam Stability of Caputo–Fabrizio Fractional Differential Equations. Mathematics 2020, 8, 647.

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