Existence results for a coupled system of fractional stochastic differential equations involving Hilfer derivative

被引：0
作者：
Arioui, Fatima Zahra [1 ]
机构：
[1] Univ Djillali Liabes Sidi Bel Abbes, Lab Stat & Stochast Proc, POB 89, Sidi Bel Abbes 22000, Algeria
来源：
RANDOM OPERATORS AND STOCHASTIC EQUATIONS | 2024年 / 32卷 / 04期
关键词：
Hilfer fractional derivative; stochastic differential equations; fixed point theorems; APPROXIMATE CONTROLLABILITY;
D O I：
10.1515/rose-2024-2015
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
In this paper, we consider a coupled system of fractional stochastic differential equations involving the Hilfer derivative of order (1) (2) < alpha < 1 . Under some assumptions, we prove the existence of mild solutions for our system based on Perov's and Schaefer's fixed point theorems. An example illustrating our result is provided.
引用
收藏
页码：313 / 327
页数：15
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