Existence results and Ulam type stability for conformable fractional oscillating system with pure delay

被引：6
|
作者：
Li, Mengmeng [1 ]
Wang, JinRong [1 ]
机构：
[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2022年 / 161卷
基金：
中国国家自然科学基金;
关键词：
Conformable derivatives; Delayed matrices Cosine and Sine; Existence of solution; Ulam-Hyers stability; Ulam-Hyers-Rassias stability; DIFFERENTIAL-EQUATIONS;
D O I：
10.1016/j.chaos.2022.112317
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we firstly introduce a concept of conformable fractional delayed type matrix Cosine and Sine func-tions, which help us to construct an exact expression of a solution for the conformable fractional oscillating delay systems (CFODs). Secondly, we show existence and uniqueness of solutions of nonlinear conformable oscillating delay system with using a fixed point theorem. Finally, as an application, this paper is concerned with the Ulam-Hyers stability (UHs) and Ulam-Hyers-Rassias stability (UHRs) of CFODs on finite time interval.(c) 2022 Elsevier Ltd. All rights reserved.
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页数：9
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