Hyers-Ulam stability for a class of Hadamard fractional Ito-Doob stochastic integral equations

被引：15
|
作者：
Kahouli, Omar [1 ]
Makhlouf, Abdellatif Ben [2 ]
Mchiri, Lassaad [3 ]
Rguigui, Hafedh [4 ]
机构：
[1] Univ Hail, Appl Coll, Dept Elect Engn, Hail 81481, Saudi Arabia
[2] Jouf Univ, Coll Sci, Dept Math, POB 2014, Sakaka, Saudi Arabia
[3] Univ Evry dVal Essonne, Fac Sci Sfax, Dept Math, Tunisia & ENSIIE, 1 Sq Resistance, F-91025 Evry Courcouronne, France
[4] Umm Al Qura Univ, Al Qunfudhah Univ Coll, Dept Math, Al Qunfudhah, Saudi Arabia
来源：
CHAOS SOLITONS & FRACTALS | 2023年 / 166卷
关键词：
DIFFERENTIAL-EQUATIONS;
D O I：
10.1016/j.chaos.2022.112918
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Our goal in this work is to demonstrate the existence and uniqueness of the solution to a class of Hadamard Fractional Ito-Doob Stochastic integral equations (HFIDSIE) of order phi is an element of (0, 1) via the fixed point technique (FPT). Hyers-Ulam stability (HUS) is investigated for HFIDSIE according to the Gronwall inequality. Two theoretical examples are provided to illustrate our results.
引用
收藏
页数：5
相关论文
共 50 条
  • [21] 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,
  • [22] Stability of Ulam–Hyers and Ulam–Hyers–Rassias for a class of fractional differential equations
    Qun Dai
    Ruimei Gao
    Zhe Li
    Changjia Wang
    Advances in Difference Equations, 2020
  • [23] Hyers-Ulam and Hyers-Ulam-Rassias Stability for a Class of Integro-Differential Equations
    Castro, L. P.
    Simoes, A. M.
    MATHEMATICAL METHODS IN ENGINEERING: THEORETICAL ASPECTS, 2019, 23 : 81 - 94
  • [24] Hyers-Ulam Stability of Polynomial Equations
    Bidkham, M.
    Mezerji, H. A. Soleiman
    Gordji, M. Eshaghi
    ABSTRACT AND APPLIED ANALYSIS, 2010,
  • [25] Hyers-Ulam stability for quantum equations
    Anderson, Douglas R.
    Onitsuka, Masakazu
    AEQUATIONES MATHEMATICAE, 2021, 95 (02) : 201 - 214
  • [26] Proportional Ito-Doob Stochastic Fractional Order Systems
    Ben Makhlouf, Abdellatif
    Mchiri, Lassaad
    Othman, Hakeem A.
    Rguigui, Hafedh M. S.
    Boulaaras, Salah
    MATHEMATICS, 2023, 11 (09)
  • [27] Optimal index and averaging principle for Ito-Doob stochastic fractional differential equations
    Wang, Wenya
    Guo, Zhongkai
    STOCHASTICS AND DYNAMICS, 2022, 22 (06)
  • [28] Hyers-Ulam Stability for a Class of Perturbed Hill's Equations
    Dragicevic, Davor
    RESULTS IN MATHEMATICS, 2021, 76 (03)
  • [29] Existence and Hyers-Ulam Stability of Jerk-Type Caputo and Hadamard Mixed Fractional Differential Equations
    Ma, Yanli
    Maryam, Maryam
    Riaz, Usman
    Popa, Ioan-Lucian
    Ragoub, Lakhdar
    Zada, Akbar
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2024, 23 (03)
  • [30] HYERS-ULAM STABILITY OF A CLASS OF DIFFERENTIAL EQUATIONS OF SECOND ORDER
    Abdollahpour, Mohammad Reza
    Park, Choonkil
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2015, 18 (05) : 899 - 903
12345