Controllability of semilinear impulsive Atangana-Baleanu fractional differential equations with delay

被引：69
|
作者：
Aimene, D. [1 ]
Baleanu, D. [2 ,3 ]
Seba, D. [1 ]
机构：
[1] Boumerdes Univ, Fac Engineers Sci, Dynam Engines & Vibroacoust Lab, Boumerdes, Algeria
[2] Cankaya Univ, Math Dept, Ankara, Turkey
[3] Inst Space Sci, Magurele, Romania
来源：
CHAOS SOLITONS & FRACTALS | 2019年 / 128卷
关键词：
Fractional derivatives and integrals; Controllability; Differential equations with impulses; Semigroup and fixed-point theories;
D O I：
10.1016/j.chaos.2019.07.027
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We discuss the controllability of semilinear differential equations of fractional order with impulses and delay. We make use of the Atangana-Baleanu derivative. Our main tools are semigroup theory, the fixed point theorem due to Darbo and their combination with the properties of measures of noncompactness. Our abstract results are well supported by an illustrative example. (C) 2019 Published by Elsevier Ltd.
引用
收藏
页码：51 / 57
页数：7
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