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

Kui Liu, Michal Fečkan and JinRong Wang
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Kui Liu: Department of Mathematics, Guizhou University, Guiyang 550025, China
Michal Fečkan: Department of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava, Mlynská dolina, 842 48 Bratislava, Slovakia
JinRong Wang: Department of Mathematics, Guizhou University, Guiyang 550025, China

Mathematics, 2020, vol. 8, issue 4, 1-12

Abstract: 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.

Keywords: Caputo–Fabrizio fractional differential equations; fixed-point theory; Hyers–Ulam stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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