Stochastic fractional differential inclusion driven by fractional Brownian motion

被引：0

作者：

Hachemi, Rahma Yasmina Moulay ^{[2
]}

Guendouzi, Toufik ^{[1
]}

机构：

[1] Univ Saida Dr Moulay Tahar, Lab Stochast Models Stat & Applicat, POB 138 En-Nasr, Saida 20000, Algeria

[2] Univ Saida Dr Moulay Tahar, Lab Stochast Models Stat & Applicat, POB 138 En Nasr, Saida 20000, Algeria

来源：

RANDOM OPERATORS AND STOCHASTIC EQUATIONS | 2023年 / 31卷 / 04期

关键词：

Fractional derivative; multivalued map; fixed point theorem; semigroups;

D O I：

10.1515/rose-2023-2012

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 prove the existence result for a mild solution of a fractional stochastic evolution inclusion involving the Caputo derivative in the Hilbert space driven by a fractional Brownian motion with the Hurst parameter H > 1/2. The results are obtained by using fractional calculation, operator semigroups and the fixed point theorem for multivalued mappings.

引用

页码：303 / 313

页数：11

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