EXISTENCE RESULTS FOR FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION WITH INFINITE DELAY AND IMPULSIVE EFFECTS

被引：0

作者：

Kavitha, V. ^{[1
]}

Kanimozhi, P. ^{[1
]}

Arjunan, M. M. ^{[2
]}

机构：

[1] Karunya Inst Technol & Sci, Sch Sci Arts Media & Management, Dept Math, Coimbatore 641114, Tamil Nadu, India

[2] SASTRA, Sch Arts Sci & Humanities, Dept Math, Thanjavur 613401, Tamil Nadu, India

来源：

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2023年 / 13卷

关键词：

Fixed point theorem; mild solution; atangana-Baleanu fractional-order derivative; impulsive condition; FUNCTIONAL-DIFFERENTIAL EQUATIONS; CONTROLLABILITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of an Atangana-Baleanu fractional impulsive functional differential system [ABFIFDS] with infinite delay and impulsive effects are investigated in this paper. Utilizing a solution operator and traditional fixed-point theorems like Banach contraction principle, the existence and uniqueness results are achieved. Finally, an example is presented to illustrate the theoretical findings.

引用

页码：373 / 384

页数：12

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