Controllability of impulsive fractional nonlinear control system with Mittag-Leffler kernel in Banach space

被引：2
|
作者：
Naji, Fadhil Abbas [1 ]
Al-Sharaa, Iftichar [1 ]
机构：
[1] Univ Babylon, Coll Educ Pure Sci, Dept Math, Babel, Iraq
来源：
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2022年 / 13卷 / 01期
关键词：
Controllability; Fractional calculus; Mittag-Leffler; semigroup theory; EXISTENCE;
D O I：
10.22075/ijnaa.2022.6080
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the controllability of a nonlinear impulsive fractional control system with Mittag-Leffler kernel in Banach space. Firstly, we present the mild solution of the control system using fractional calculus and semigroup theory. We set sufficient conditions to prove the controllability of the control system using the Nussbaum fixed point theorem. Finally, to illustrate our results, an example is given.
引用
收藏
页码：3257 / 3280
页数：24
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