Explicit solutions and finite-time stability for fractional delay systems

被引：0
|
作者：
Elshenhab, Ahmed M. [1 ]
Wang, Xing Tao [2 ]
Hosny, Mohamed [3 ,4 ]
机构：
[1] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
[2] Harbin Inst Technol, Sch Math, Harbin 150001, Peoples R China
[3] Benha Univ, Benha Fac Engn, Dept Elect Engn, Banha 13511, Egypt
[4] King Fahd Univ Petr & Minerals, KFUPM Business Sch, IRC Finance & Digital Econ, Dhahran 31261, Saudi Arabia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2025年 / 498卷
关键词：
Explicit solutions; Finite-time stability; Fractional delay systems; Fractional delayed matrix Mittag-Leffler function; NEUTRAL SYSTEMS; REPRESENTATION; STABILIZATION; MODEL;
D O I：
10.1016/j.amc.2025.129388
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Finite-time stability and explicit solutions are considered for nonhomogeneous fractional systems with pure delay. First, explicit solutions are obtained by using new delayed Mittag-Leffler-type matrix functions. Second, the finite-time stability results are obtained by utilizing these explicit solutions and the norm estimate of these delayed Mittag-Leffler-type matrix functions. The results improve, extend, and complement the previous works. Finally, an example is provided to illustrate the importance of the results.
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页数：15
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