Finite-Time Stability to Fractional Delay Cauchy Problem of Hilfer Type

被引：0
|
作者：
Salem, Ahmed [1 ]
Babusail, Rawia [1 ]
El-Shahed, Moustafa [2 ]
Elozli, M. [1 ]
机构：
[1] King Abdulaziz Univ, Dept Math, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia
[2] Qassim Univ, Unaizah Fac Arts & Sci, POB 3771, Qasim 51431, Saudi Arabia
来源：
CONTEMPORARY MATHEMATICS | 2023年 / 4卷 / 04期
关键词：
Hilfer derivative; fractional delay Cauchy problem; finite time stability; fractional delayed matrix cosine and sine; REPRESENTATION; EXISTENCE; SYSTEM;
D O I：
10.37256/cm.4420232546
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this work is to look at the solution's representation for the non-homogeneous fractional time-delay Cauchy problem of Hilfer type in terms of the cosine and sine fractional delayed matrices of two parameters. The solutions are determined using the constant variation approach. Following that, finite-time stability under moderate circumstances is examined. At last, an example is offered to show how the theoretical results may be used.
引用
收藏
页码：733 / 749
页数：17
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