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

共 50 条

[1] Investigation on integro-differential equations with fractional boundary conditions by Atangana-Baleanu-Caputo derivative
Harisa, Samy A.
Faried, Nashat
Vijayaraj, V.
Ravichandran, C.
Morsy, Ahmed
PLOS ONE, 2024, 19 (05):
[2] Results on Impulsive Fractional Integro-Differential Equations Involving Atangana-Baleanu Derivative
Karthikeyan, Kulandhivel
Ege, Ozgur
Karthikeyan, Panjayan
FILOMAT, 2022, 36 (13) : 4617 - 4627
[3] Analysis of nonlinear fractional differential equations involving Atangana-Baleanu-Caputo derivative
Kucche, Kishor D.
Sutar, Sagar T.
CHAOS SOLITONS & FRACTALS, 2021, 143
[4] On Implicit Atangana-Baleanu-Caputo Fractional Integro-Differential Equations with Delay and Impulses
Karthikeyann, Panjaiyan
Poornima, Sadhasivam
Karthikeyan, Kulandhaivel
Promsakon, Chanon
Sitthiwirattham, Thanin
JOURNAL OF MATHEMATICS, 2024, 2024
[5] Existence and Stability for a Coupled Hybrid System of Fractional Differential Equations with Atangana-Baleanu-Caputo Derivative
Zhao, Liyuan
Jiang, Yirong
JOURNAL OF MATHEMATICS, 2022, 2022
[6] On numerical approximation of Atangana-Baleanu-Caputo fractional integro-differential equations under uncertainty in Hilbert Space
Al-Smadi, Mohammed
Dutta, Hemen
Hasan, Shatha
Momani, Shaher
MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2021, 16 (16)
[7] On nonlinear pantograph fractional differential equations with Atangana-Baleanu-Caputo derivative
Abdo, Mohammed S.
Abdeljawad, Thabet
Kucche, Kishor D.
Alqudah, Manar A.
Ali, Saeed M.
Jeelani, Mdi Begum
ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
[8] On Nonlinear Hybrid Fractional Differential Equations with Atangana-Baleanu-Caputo Derivative
Sutar, Sagar T.
Kucche, Kishor D.
CHAOS SOLITONS & FRACTALS, 2021, 143
[9] New results on existence in the framework of Atangana-Baleanu derivative for fractional integro-differential equations
Ravichandran, C.
Logeswari, K.
Jarad, Fahd
CHAOS SOLITONS & FRACTALS, 2019, 125 : 194 - 200
[10] Atangana-Baleanu-Caputo differential equations with mixed delay terms and integral boundary conditions
Filali, D.
Ali, Arshad
Ali, Zeeshan
Akram, M.
Dilshad, M.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (09) : 10435 - 10449

← 1 2 3 4 5 →