文献类型：期刊文献

英文题名：A Fixed-Point Approach to the Hyers-Ulam Stability of Caputo-Fabrizio Fractional Differential Equations

作者：Liu, Kui Feckan, Michal Wang, JinRong

第一作者：Liu, Kui

通信作者：Feckan, M[1];Feckan, M[2]

机构：[1]Guizhou Univ, Dept Math, Guiyang 550025, Peoples R China;[2]Guizhou Inst Technol, Coll Sci, Guiyang 550025, Peoples R China;[3]Comenius Univ, Fac Math, Dept Math Anal & Numer Math, Bratislava 84248, Slovakia;[4]Slovak Acad Sci, Math Inst, Stefanikova 49, Bratislava 81473, Slovakia;[5]Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

第一机构：Guizhou Univ, Dept Math, Guiyang 550025, Peoples R China

通信机构：corresponding author), Comenius Univ, Fac Math, Dept Math Anal & Numer Math, Bratislava 84248, Slovakia;corresponding author), Slovak Acad Sci, Math Inst, Stefanikova 49, Bratislava 81473, Slovakia.

年份：2020

卷号：8

期号：4

外文期刊名：MATHEMATICS

收录：;Scopus(收录号：2-s2.0-85084513146);WOS:【SCI-EXPANDED(收录号:WOS:000531824100187)】；

基金：This work is partially supported by the National Natural Science Foundation of China (11661016), Guizhou Provincial Science and Technology Foundation ([2020]1Y002), the Slovak Research and Development Agency under the Contract No.APVV-18-0308, and the Slovak Grant Agency VEGA No.1/0358/20 and No.2/0127/20.

语种：英文

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

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.