Controllability of semilinear noninstantaneous impulsive ABC neutral fractional differential equations

被引：28

作者：

Balasubramaniam, P. ^{[1
]}

机构：

[1] Gandhigram Rural Inst, Dept Math, Dindigul 624302, Tamil Nadu, India

来源：

CHAOS SOLITONS & FRACTALS | 2021年 / 152卷

关键词：

Controllability; Fractional calculus; Fixed point theorem; Noninstantaneous impulse; Semigroup; APPROXIMATE CONTROLLABILITY; DERIVATIVES; EXISTENCE; SYSTEMS;

D O I：

10.1016/j.chaos.2021.111276

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the necessary and sufficient conditions are derived for the controllability of AtanganaBaleanu-Caputo (ABC) neutral fractional differential equations (FDEs) with noninstantaneous (NI) impulses. The main controllability result is obtained by using the concept of measure of noncompactness, semigroup, fractional calculus, and K-set contraction principle. An illustration is provided to validate the established theoretical result. (c) 2021 Elsevier Ltd. All rights reserved.

引用

页数：8

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