On a new class of Atangana-Baleanu fractional Volterra-Fredholm integro-differential inclusions with non-instantaneous impulses

被引：25
|
作者：
Arjunan, M. Mallika [1 ,2 ]
Abdeljawad, Thabet [3 ,4 ,5 ]
Kavitha, V. [6 ]
Yousef, Ali [7 ]
机构：
[1] SASTRA, Sch Arts Sci & Humanities, Dept Math, Thanjavur 613401, Tamil Nadu, India
[2] Srinivas Univ, Dept Math, Surathkal 574146, Karnataka, India
[3] Prince Sultan Univ, Dept Math & Gen Sci, Dept Math, Riyadh, Saudi Arabia
[4] China Med Univ, Dept Med Res, Taichung 40402, Taiwan
[5] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan
[6] Karunya Inst Technol & Sci, Sch Sci Arts Media & Management, Dept Math, Coimbatore 641114, Tamil Nadu, India
[7] Kuwait Coll Sci & Technol, Dept Math, Kuwait 27235, Kuwait
来源：
CHAOS SOLITONS & FRACTALS | 2021年 / 148卷
关键词：
Fractional differential inclusions; Impulsive conditions; Solution operator; Martelli's fixed point theorem; DIFFERENTIAL-EQUATIONS; EXISTENCE;
D O I：
10.1016/j.chaos.2021.111075
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This manuscripts main objective is to examine the existence of piecewise-continuous mild solution of Atangana-Baleanu fractional Volterra-Fredholm integro-differential inclusions (ABFVFIDI) with non-instantaneous impulses (NII) in Banach space. Based on Martelli's fixed point theorem and rho-resolvent operators, we develop the main results. An example is given to support the validation of the theoretical results achieved. (C) 2021 Elsevier Ltd. All rights reserved.
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页数：13
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