Controllability of Nonlinear Fractional Dynamical Systems with a Mittag-Leffler Kernel

被引：6

作者：

Sheng, Jiale ^{[1
]}

Jiang, Wei ^{[1
]}

Pang, Denghao ^{[2
]}

Wang, Sen ^{[1
]}

机构：

[1] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China

[2] Anhui Univ, Sch Internet, Hefei 230601, Peoples R China

来源：

MATHEMATICS | 2020年 / 8卷 / 12期

基金：

中国国家自然科学基金;

关键词：

controllability; Mittag– Leffler kernel; nonlinear; fixed point theorem; APPROXIMATE CONTROLLABILITY; DIFFERENTIAL-EQUATIONS; DELAY; STABILITY;

D O I：

10.3390/math8122139

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with controllability of nonlinear fractional dynamical systems with a Mittag-Leffler kernel. First, the solution of fractional dynamical systems with a Mittag-Leffler kernel is given by Laplace transform. In addition, one necessary and sufficient condition for controllability of linear fractional dynamical systems with Mittag-Leffler kernel is established. On this basis, we obtain one sufficient condition to guarantee controllability of nonlinear fractional dynamical systems with a Mittag-Leffler kernel by fixed point theorem. Finally, an example is given to illustrate the applicability of our results.

引用

页码：1 / 10

页数：10

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