A novel fractional delayed matrix cosine and sine

被引：26
作者：
Mahmudov, N., I [1 ]
机构：
[1] Eastern Mediterranean Univ, Dept Math, Mersin 10, Gazimagusa, Tr North Cyprus, Turkey
来源：
APPLIED MATHEMATICS LETTERS | 2019年 / 92卷
关键词：
Fractional linear delay systems; Delayed matrix cosine; Delayed matrix sine; SYSTEMS; REPRESENTATION;
D O I：
10.1016/j.aml.2019.01.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce the fractional delayed matrix cosine and sine functions and use the variation of constants method to obtain an explicit formula for a solution to the initial value problem for a Riemann-Liouville sequential fractional linear time-delay system of order 1 < 2 alpha <= 2. Our results extend those for fractional linear time-delay systems and novel for the classical case alpha = 1. (C) 2019 Elsevier Ltd. All rights reserved.
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页码：41 / 48
页数：8
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