SOME RESULTS ON PROPORTIONAL CAPUTO NEUTRAL FRACTIONAL STOCHASTIC DIFFERENTIAL EQUATIONS

被引：6
|
作者：
Ben Makhlouf, Abdellatif [1 ]
Sallay, Jihen [1 ]
机构：
[1] Sfax Univ, Fac Sci, Dept Math, BP 1171, Sfax, Tunisia
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2024年 / 17卷 / 10期
关键词：
Existence and uniqueness; Ulam-Hyers stability; proportional fractional derivative; stochastic neutral differential equation; RESPECT;
D O I：
10.3934/dcdss.2024104
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper explores Proportional Neutral Fractional Stochastic Differential Equations (PNFSDEs), emphasizing their existence, uniqueness, and Hyers-Ulam Stability (HUS). The continuous dependence of solutions on initial data and their regularity in time are also established. By using the Banach Fixed Point Theorem (BFPT), It & oacute;'s isometry formula, and some classical inequalities, we obtain the theoretical findings. Finally, we present an example to illustrate the effectiveness of our results.
引用
收藏
页码：3102 / 3115
页数：14
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