Analysis of Existence and Stability Results for Impulsive Fractional Integro-Differential Equations Involving the Atangana-Baleanu-Caputo Derivative under Integral Boundary Conditions

被引：7

作者：

Reunsumrit, Jiraporn ^{[1
]}

Karthikeyann, Panjaiyan ^{[2
]}

Poornima, Sadhasivam ^{[2
]}

Karthikeyan, Kulandhaivel ^{[3
,4
]}

Sitthiwirattham, Thanin ^{[5
]}

机构：

[1] King Mongkuts Univ Technol North Bangkok, Fac Appl Sci, Dept Math, Bangkok 10800, Thailand

[2] Sri Vasavi Coll, Dept Math, Erode 638136, India

[3] KPR Inst Engn & Technol, Dept Math, Coimbatore 641407, Tamil Nadu, India

[4] KPR Inst Engn & Technol, Ctr Res & Dev, Coimbatore 641407, Tamil Nadu, India

[5] Suan Dusit Univ, Fac Sci & Technol, Math Dept, Bangkok 10300, Thailand

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2022年 / 2022卷

关键词：

MITTAG-LEFFLER STABILITY; DIFFERENTIAL-EQUATIONS; ORDER;

D O I：

10.1155/2022/5449680

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this study, we consider the existence results of solutions of impulsive Atangana-Baleanu-Caputo (ABC) fractional integrodi3erential equations with integral boundary conditions. Krasnoselskii's 6xed-point theorem and the Banach contraction principle are used to prove the existence and uniqueness of results. Moreover, we also establish Hyers-Ulam stability for this problem. An example is also presented at the end.

引用

页数：18

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