New results on existence in the framework of Atangana-Baleanu derivative for fractional integro-differential equations

被引：160
|
作者：
Ravichandran, C. [1 ]
Logeswari, K. [1 ]
Jarad, Fahd [2 ]
机构：
[1] Kongunadu Arts & Sci Coll Autonomous, PG & Res Dept Math, Coimbatore 641029, Tamil Nadu, India
[2] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey
来源：
CHAOS SOLITONS & FRACTALS | 2019年 / 125卷
关键词：
Fractional differential equation; Atangana-Baleanu derivative; Fixed point techniques; MITTAG-LEFFLER KERNEL; MODEL;
D O I：
10.1016/j.chaos.2019.05.014
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we consider integro-differential equations involving the recently explored Atangana-Baleanu fractional derivatives which contain the generalized Mittag-Leffler functions in their kernels. Utilizing fixed point techniques, we examine the existence and uniqueness of solutions to such equations in Banach spaces. Moreover, we consider an example and investigate numerical outcomes for various values of the fractional order. Then, we consider the stability of the tackled integro-differential equation in the frame of Ulam. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页码：194 / 200
页数：7
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