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.

引用

页数：13

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