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Ulam-Hyers-Mittag-Leffler stability for Psi-Hilfer fractional-order delay differential equations  ( SCI-EXPANDED收录)   被引量:38

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:;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.

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