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Hyers-Ulam stability and existence of solutions for fractional differential equations with Mittag-Leffler kernel  ( SCI-EXPANDED收录 EI收录)   被引量:35

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.

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