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.

引用

页数：12

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