Existence results of Atangana-Baleanu fractional integro-differential inclusions of Sobolev type

被引：4
|
作者：
Vijayaraj, V. [1 ]
Ravichandran, C. [1 ]
Sawangtong, Panumart [2 ]
Nisar, Kottakkaran Sooppy [3 ]
机构：
[1] Kongunadu Arts & Sci Coll, Dept Math, Coimbatore 641029, India
[2] King Mongkuts Univ Technol North Bangkok, Fac Appl Sci, Dept Math, Bangkok 10800, Thailand
[3] Prince Sattam bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawaser 11991, Saudi Arabia
来源：
ALEXANDRIA ENGINEERING JOURNAL | 2023年 / 66卷
关键词：
Fractional calculus; Martelli?s Fixed point theorem; Sobolev type; Inclusion; 2020; MSC; DIFFERENTIAL-EQUATIONS;
D O I：
10.1016/j.aej.2022.11.037
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this article, we scrutinise the study of the existence of Sobolev type Atangana-Baleanu fractional integro-differential inclusions in Banach space. The results are gained by using Martelli's fixed point theorem and q-resolvent operators. An example is given for theoretical result.(c) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/ 4.0/).
引用
收藏
页码：249 / 255
页数：7
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