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

Mathematics

Michal Fečkan¹  Kui Liu²  JinRong Wang² 

[1] Department of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava, Mlynská dolina, 842 48 Bratislava, Slovakia;Department of Mathematics, Guizhou University, Guiyang 550025, China;

关键词: Caputo–Fabrizio fractional differential equations;    fixed-point theory;    Hyers–Ulam stability;   

DOI  :  10.3390/math8040647

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown