Nonlocal Hybrid Integro-Differential Equations Involving Atangana-Baleanu Fractional Operators

被引：0
|
作者：
Alshammari, Saleh [1 ]
Alshammari, Mohammad [1 ]
Abdo, Mohammed S. [2 ]
机构：
[1] Univ Hail, Dept Math, Coll Sci, Hail, Saudi Arabia
[2] Hodeidah Univ, Dept Math, POB 3114, Al Hudaydah, Yemen
来源：
JOURNAL OF MATHEMATICS | 2023年 / 2023卷
关键词：
BOUNDARY-VALUE PROBLEM; DIFFERENTIAL-EQUATIONS; EXISTENCE; STABILITY;
D O I：
10.1155/2023/5891342
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this study, we develop a theory for the nonlocal hybrid boundary value problem for the fractional integro-differential equations featuring Atangana-Baleanu derivatives. The corresponding hybrid fractional integral equation is presented. Then, we establish the existence results using Dhage's hybrid fixed point theorem for a sum of three operators. We also offer additional exceptional cases and similar outcomes. In order to demonstrate and verify the results, we provide an example as an application.
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页数：11
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