分数阶布朗运动驱动的分数阶脉冲中立型泛函微分方程解的存在性

IF 0.3 Q4 STATISTICS & PROBABILITY

Random Operators and Stochastic Equations Pub Date : 2022-05-31 DOI:10.1515/rose-2022-2080

A. Lahmoudi, E. Lakhel

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引用次数: 0

摘要

研究了实数可分Hilbert空间中一类由分数阶布朗运动驱动的具有无限延迟的分数阶脉冲中立型随机泛函微分方程。我们利用随机分析和不动点策略证明了温和解的存在性。

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Existence of solutions for fractional impulsive neutral functional differential equations driven by fractional Brownian motion

Abstract In this paper, we consider a class of fractional impulsive neutral stochastic functional differential equations with infinite delay driven by a fractional Brownian motion in a real separable Hilbert space. We prove the existence of mild solutions by using stochastic analysis and a fixed-point strategy.

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来源期刊

Random Operators and Stochastic Equations STATISTICS & PROBABILITY-

CiteScore

0.60

自引率

25.00%

发文量