Controllability of neutral impulsive fractional differential equations with Atangana-Baleanu-Caputo derivatives

被引：54

作者：

Bedi, Pallavi ^{[1
]}

Kumar, Anoop ^{[1
]}

Khan, Aziz ^{[2
]}

机构：

[1] Cent Univ Punjab, Sch Basic & Appl Sci, Dept Math & Stat, Bathinda 151001, Punjab, India

[2] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh 11586, Saudi Arabia

来源：

CHAOS SOLITONS & FRACTALS | 2021年 / 150卷

关键词：

Fractional differential equations; ABC-derivatives; Fixed point theory; Controllability; Non-instantaneous impulses; EXISTENCE; RESPECT;

D O I：

10.1016/j.chaos.2021.111153

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we aim to establish the controllability results for fractional differential equations of neutral type with Atangana-Baleanu-Caputo derivatives. We develop these results with the help of the theory of semigroup operators and fixed point theorem coupled with a measure of noncompactness. An example is also presented to verify the applicability of the obtained results. (c) 2021 Published by Elsevier Ltd.

引用

页数：8

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