Existence and Ulam stability for implicit fractional q-difference equations

被引：18

作者：

Abbas, Said ^{[1
]}

Benchohra, Mouffak ^{[2
,3
]}

Laledj, Nadjet ^{[2
]}

Zhou, Yong ^{[4
,5
]}

机构：

[1] Tahar Moulay Univ Saida, Dept Math, Saida, Algeria

[2] Djillali Liabes Univ Sidi Bel Abbes, Lab Math, Sidi Bel Abbes, Algeria

[3] King Saud Univ, Coll Sci, Dept Math, Riyadh, Saudi Arabia

[4] Macau Univ Sci & Technol, Fac Informat Technol, Macau, Peoples R China

[5] Xiangtan Univ, Fac Math & Comp Sci, Xiangtan, Hunan, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Fractional q-difference equation; Implicit; Ulam-Hyers-Rassias stability; Fixed point; HYERS STABILITY; INTEGRALS; ORDER;

D O I：

10.1186/s13662-019-2411-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with some existence, uniqueness and Ulam-Hyers-Rassias stability results for a class of implicit fractional q-difference equations. Some applications are made of some fixed point theorems in Banach spaces for the existence and uniqueness of solutions, next we prove that our problem is generalized Ulam-Hyers-Rassias stable. Two illustrative examples are given in the last section.

引用

页数：12

共 40 条

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[2]

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[3]

ABBAS S, 2016, ELECTRON J DIFF 0115, V2016, DOI DOI 10.1186/s13662-015-0703-4

[4]

Abbas S., 2016, J FRAC CALC APPL, V7, P1

[5]