IMPULSIVE STOCHASTIC DIFFERENTIAL EQUATIONS INVOLVING HILFER FRACTIONAL DERIVATIVES

被引：1
|
作者：
Hachemi, Rahma Yasmina Moulay [1 ]
Guendouzi, Toufik [1 ]
机构：
[1] Univ Saida Dr Moulay Tahar, Loboratory Stochast Models Stat & Applicat, POB 138, En Nasr Saida 20000, Algeria
来源：
BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES | 2022年 / 17卷 / 04期
关键词：
Hilfer fractional derivatives; fixed point; impulsive stochastic differential equation; sub-fractional Brownian motion; mild solutions; APPROXIMATE CONTROLLABILITY; EVOLUTION EQUATIONS; BROWNIAN-MOTION; STABILITY;
D O I：
10.21915/BIMAS.2022404
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the existence of mild solutions of Hilfer fractional stochastic differential equation with impulses driven by sub-fractional Brownian motion. The results are obtained by using Burton-Kirk's fixed point theorem. In the end, an example is given to illustrate the obtained results.
引用
收藏
页码：417 / 438
页数：22
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