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.
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页数：18
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