Approximate controllability of fractional evolution inclusions with damping

被引：9
|
作者：
Li, Xuemei [1 ]
Liu, Xinge [1 ]
Tang, Meilan [1 ]
机构：
[1] Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2021年 / 148卷
关键词：
Approximate controllability; Fractional evolution inclusions; Regularized resolvent family; Fixed point theorem; EXISTENCE; CALCULUS; SYSTEMS;
D O I：
10.1016/j.chaos.2021.111073
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The approximate controllability of fractional evolution inclusions with damping is studied in this paper. Under a compactness assumption on the (alpha, mu)-regularized resolvent families of operators, some properties of operators associated with the regularized family are given. Next, the existence results of the system are obtained by nonlinear alternative of Leray-Schauder and Covitz and Nadler's fixed point theorem. Furthermore, we obtain a new set of sufficient conditions for the approximate controllability of fractional evolution inclusions. Finally, examples are provided to illustrate the obtained results. (C) 2021 Elsevier Ltd. All rights reserved.
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页数：13
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