Controllability of semilinear noninstantaneous impulsive ABC neutral fractional differential equations

被引：32
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.
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页数：8
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