文献类型：期刊文献

英文题名：Hyers-Ulam Stability and Existence of Solutions to the Generalized Liouville-Caputo Fractional Differential Equations

作者：Liu, Kui Feckan, Michal Wang, Jinrong

第一作者：Liu, Kui;刘葵

通信作者：Feckan, M[1];Feckan, M[2]

机构：[1]Guizhou Inst Technol, Coll Sci, Guiyang 550025, Peoples R China;[2]Guizhou Univ, Dept Math, Guiyang 550025, Peoples R China;[3]Comenius Univ, Dept Math Anal & Numer Math, Fac Math Phys & Informat, 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：贵州理工学院理学院

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

年份：2020

卷号：12

期号：6

外文期刊名：SYMMETRY-BASEL

收录：;Scopus(收录号：2-s2.0-85087455400);WOS:【SCI-EXPANDED(收录号:WOS:000550836500001)】；

基金：This work is partially supported by 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：generalized Liouville-Caputo fractional differential equations; Laplace transform; Hyers-Ulam stability

摘要：The aim of this paper is to study the stability of generalized Liouville-Caputo fractional differential equations in Hyers-Ulam sense. We show that three types of the generalized linear Liouville-Caputo fractional differential equations are Hyers-Ulam stable by a rho-Laplace transform method. We establish existence and uniqueness of solutions to the Cauchy problem for the corresponding nonlinear equations with the help of fixed point theorems.