文献类型：期刊文献

英文题名：Hyers-Ulam stability and existence of solutions for fractional differential equations with Mittag-Leffler kernel

作者：Liu, Kui Wang, JinRong Zhou, Yong O'Regan, Donal

第一作者：刘葵;Liu, Kui

通信作者：Wang, JR[1]

机构：[1]Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China;[2]Guizhou Inst Technol, Coll Sci, Guiyang 550025, Guizhou, Peoples R China;[3]Xiangtan Univ, Dept Math, Xiangtan 411105, Hunan, Peoples R China;[4]Macau Univ Sci & Technol, Fac Informat Technol, Macau 999078, Peoples R China;[5]Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland

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

通信机构：corresponding author), Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China.

年份：2020

卷号：132

外文期刊名：CHAOS SOLITONS & FRACTALS

收录：;EI(收录号：20232514266742);Scopus(收录号：2-s2.0-85161972939);WOS:【SCI-EXPANDED(收录号:WOS:000520892500032)】；

基金：This work is partially supported by Training Object of High Level and Innovative Talents of Guizhou Province ((2016)4006), Major Research Project of Innovative Group in Guizhou Education Department ([2018]012) and Foundation of Postgraduate of Guizhou Province (YJSCXJH[2019]030).

语种：英文

外文关键词：Caputo-Fabrizio fractional differential equations; Mittag-Leffler kernel; Existence and uniqueness; Hyers-Ulam stability

摘要：In this paper, the Hyers-Ulam stability of linear Caputo-Fabrizio fractional differential equations with Mittag-Leffler kernel is studied using the Laplace transform method (via the Wright function). Existence, uniqueness and generalized Hyers-Ulam-Rassias stability results for nonlinear problems are established. (C) 2019 Elsevier Ltd. All rights reserved.