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.
引用
收藏
页数：9
相关论文
共 50 条
  • [41] EXISTENCE AND HYERS-ULAM STABILITY RESULTS FOR A CLASS OF FRACTIONAL ORDER DELAY DIFFERENTIAL EQUATIONS WITH NON-INSTANTANEOUS IMPULSES
    Luo, Danfeng
    Luo, Zhiguo
    MATHEMATICA SLOVACA, 2020, 70 (05) : 1231 - 1248
  • [42] The existence and Ulam-Hyers stability results for A-Hilfer fractional integrodifferential equations
    Abdo, Mohammed S.
    Thabet, Sabri T. M.
    Ahmad, Bashir
    JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS, 2020, 11 (04) : 1757 - 1780
  • [43] Existence and Stability Results on Hadamard Type Fractional Time-Delay Semilinear Differential Equations
    Mahmudov, Nazim
    Al-Khateeb, Areen
    MATHEMATICS, 2020, 8 (08)
  • [44] EXISTENCE RESULTS FOR SYSTEMS OF CONFORMABLE FRACTIONAL DIFFERENTIAL EQUATIONS
    Bendouma, Bouharket
    Cabada, Alberto
    Hammoudi, Ahmed
    ARCHIVUM MATHEMATICUM, 2019, 55 (02): : 69 - 82
  • [45] On Stability for Conformable Fractional Linear System
    Zhao, Hongguo
    Li, Tongzhao
    Cui, Peng
    PROCEEDINGS OF THE 39TH CHINESE CONTROL CONFERENCE, 2020, : 899 - 903
  • [46] Existence, uniqueness and Ulam stability results for a mixed-type fractional differential equations with p-Laplacian operator
    E. Kenef
    I. Merzoug
    A. Guezane-Lakoud
    Arabian Journal of Mathematics, 2023, 12 : 633 - 645
  • [47] Existence, Uniqueness, and Eq-Ulam-Type Stability of Fuzzy Fractional Differential Equation
    Niazi, Azmat Ullah Khan
    He, Jiawei
    Shafqat, Ramsha
    Ahmed, Bilal
    FRACTAL AND FRACTIONAL, 2021, 5 (03)
  • [48] Existence, uniqueness and Ulam stability results for a mixed-type fractional differential equations with p-Laplacian operator
    Kenef, E.
    Merzoug, I.
    Guezane-Lakoud, A.
    ARABIAN JOURNAL OF MATHEMATICS, 2023, 12 (03) : 633 - 645
  • [49] Stability of conformable fractional delay differential systems with impulses
    He, Danhua
    Xu, Liguang
    APPLIED MATHEMATICS LETTERS, 2024, 149
  • [50] Existence and Ulam stability for impulsive generalized Hilfer-type fractional differential equations
    Abdelkrim Salim
    Mouffak Benchohra
    Erdal Karapınar
    Jamal Eddine Lazreg
    Advances in Difference Equations, 2020
12345