A fixed point approach to the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation

被引：28

作者：

Eghbali, Nasrin ^{[1
]}

Kalvandi, Vida ^{[1
]}

Rassias, John M. ^{[2
]}

机构：

[1] Univ Mohaghegh Ardabili, Fac Math Sci, Dept Math, Ardebil 5619911367, Iran

[2] Natl & Capodistrian Univ Athens, Sect Math & Informat, Pedag Dept EE, 4 Agamemnonos Str, Athens 15342, Greece

来源：

OPEN MATHEMATICS | 2016年 / 14卷

关键词：

Fractional order delay integral equation; Mittag-Leffler-Hyers-Ulam stability; Chebyshev norm; Bielecki norm; DIFFERENTIAL-EQUATIONS;

D O I：

10.1515/math-2016-0019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we have presented and studied two types of the Mittag-Leffler-Hyers-Ulam stability of a fractional integral equation. We prove that the fractional order delay integral equation is Mittag-Leffler-Hyers-Ulam stable on a compact interval with respect to the Chebyshev and Bielecki norms by two notions.

引用

页码：237 / 246

页数：10

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