Ulam-Hyers stability of pantograph fractional stochastic differential equations

被引：14
|
作者：
Mchiri, Lassaad [1 ]
Ben Makhlouf, Abdellatif [2 ]
Rguigui, Hafedh [3 ]
机构：
[1] Univ Sfax, Fac Sci Sfax, Dept Math, Sfax, Tunisia
[2] Jouf Univ, Coll Sci, Dept Math, Aljouf, Saudi Arabia
[3] Umm Al Qura Univ, Al Qunfudhah Univ Coll, Dept Math, Al Qunfudhah, Saudi Arabia
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 04期
关键词：
Caputo derivative; Ulam stability; POLYNOMIAL STABILITY; EXISTENCE; DYNAMICS;
D O I：
10.1002/mma.8745
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the existence and uniqueness theorem (EUT) of Pantograph fractional stochastic differential equations (PFSDE) using the Banach fixed point theorem (BFPT). We show the Ulam-Hyers stability (UHS) of PFSDE by the generalized Gronwall inequalities (GGI). We illustrate our results by two examples.
引用
收藏
页码：4134 / 4144
页数：11
相关论文
共 50 条
  • [1] Ulam-Hyers Stability of Pantograph Hadamard Fractional Stochastic Differential Equations
    Kahouli, Omar
    Albadran, Saleh
    Aloui, Ali
    Ben Makhlouf, Abdellatif
    SYMMETRY-BASEL, 2023, 15 (08):
  • [2] Ulam-Hyers Stability of Pantograph Hadamard Functional Fractional Stochastic Differential Equations
    Li, Jun
    Tang, Pusen
    Liao, Feng
    Chen, Lin
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2025,
  • [3] Ulam-Hyers and Generalized Ulam-Hyers Stability of Fractional Differential Equations with Deviating Arguments
    Dilna, Natalia
    Fekete, Gusztav
    Langerova, Martina
    Toth, Balazs
    MATHEMATICS, 2024, 12 (21)
  • [4] GENERALIZED ULAM-HYERS STABILITY FOR FRACTIONAL DIFFERENTIAL EQUATIONS
    Ibrahim, Rabha W.
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2012, 23 (05)
  • [5] Ulam-Hyers stability of Caputo type fractional stochastic neutral differential equations
    Ahmadova, Arzu
    Mahmudov, Nazim, I
    STATISTICS & PROBABILITY LETTERS, 2021, 168
  • [6] Ulam-Hyers and generalized Ulam-Hyers stability of fractional functional integro-differential equations
    Dilna, Natalia
    Langerova, Martina
    IFAC PAPERSONLINE, 2024, 58 (12): : 280 - 285
  • [7] Ulam-Hyers stability of fractional Ito-Doob stochastic differential equations
    Mchiri, Lassaad
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (13) : 13731 - 13740
  • [8] Stability of Ulam-Hyers and Ulam-Hyers-Rassias for a class of fractional differential equations
    Dai, Qun
    Gao, Ruimei
    Li, Zhe
    Wang, Changjia
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [9] Ulam-Hyers Stability for Fractional Differential Equations in Quaternionic Analysis
    Yang, Zhan-Peng
    Xu, Tian-Zhou
    Qi, Min
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2016, 26 (01) : 469 - 478
  • [10] Ulam-Hyers Stability for a Class of Hilfer-Type Fractional Stochastic Differential Equations
    Song, Meiling
    Luo, Zhiguo
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2022, 2022
12345