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.
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页数：5
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