Ulam-Hyers-Mittag-Leffler stability for Ψ-Hilfer fractional-order delay differential equations

被引：60
作者：
Liu, Kui [1 ]
Wang, JinRong [2 ,3 ]
O'Regan, Donal [4 ]
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
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 1期
关键词：
Psi-Hilfer fractional-order delay differential equations; Solutions; Existence; Stability; POSITIVE SOLUTIONS; SYSTEM MODEL; EXISTENCE;
D O I：
10.1186/s13662-019-1997-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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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页数：12
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