文献类型：期刊文献

英文题名：Ulam-Hyers-Mittag-Leffler stability for Psi-Hilfer fractional-order delay differential equations

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

第一作者：刘葵

通信作者：Wang, JR[1];Wang, JR[2]

机构：[1]Guizhou Inst Technol, Coll Sci, Guiyang, Guizhou, Peoples R China;[2]Guizhou Univ, Dept Math, Guiyang, Guizhou, Peoples R China;[3]Qufu Normal Univ, Sch Math Sci, Qufu, Peoples R China;[4]Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland

第一机构：贵州理工学院理学院

通信机构：corresponding author), Guizhou Univ, Dept Math, Guiyang, Guizhou, Peoples R China;corresponding author), Qufu Normal Univ, Sch Math Sci, Qufu, Peoples R China.

年份：2019

外文期刊名：ADVANCES IN DIFFERENCE EQUATIONS

收录：;Scopus(收录号：2-s2.0-85061191507);WOS:【SCI-EXPANDED(收录号:WOS:000458340300002)】；

基金：This work is partially supported by Training Object of High Level and Innovative Talents of Guizhou Province ((2016)4006), Science and Technology Program of Guizhou Province ([2017]5788-10), and Major Research Project of Innovative Group in Guizhou Education Department ([2018]012).

语种：英文

外文关键词：Psi-Hilfer fractional-order delay differential equations; Solutions; Existence; Stability

摘要：In this paper, we present results on the existence, uniqueness, and Ulam-Hyers-Mittag-Leffler stability of solutions to a class of Psi-Hilfer fractional-order delay differential equations. We use the Picard operator method and a generalized Gronwall inequality involved in a Psi-Riemann-Liouville fractional integral. Finally, we give two examples to illustrate our main theorems.