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
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