由布朗运动和非瞬时脉冲噪声混合驱动的分数阶随机系统

IF 0.8 4区数学 Q3 MATHEMATICS, APPLIED

Stochastic Analysis and Applications Pub Date : 2021-10-25 DOI:10.1080/07362994.2021.1990082

P. Balasubramaniam

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引用次数: 3

摘要

讨论了一类由混合布朗运动和lvy噪声驱动的非瞬时脉冲Hilfer分数阶随机系统的存在性结果。利用M - nch不动点定理，得到了一类阶型非瞬时脉冲Hilfer分数阶随机系统解存在的充分条件，并应用随机分析技术、非紧性测度、半群理论和分数阶微积分等方法，得到了该系统解存在的充分条件。通过一个实例说明了所讨论的理论。

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Hilfer fractional stochastic system driven by mixed Brownian motion and L vy noise suffered by non-instantaneous impulses

Abstract This paper discusses the existence result for a class of non-instantaneous impulsive Hilfer fractional stochastic systems (NIHFSS) driven by mixed Brownian motion and L vy noise. Sufficient conditions are obtained by utilizing M nch fixed point theorem (FPT) for the existence of solution of non-instantaneous impulsive Hilfer fractional stochastic system of order and of type The existence result is derived by adapting stochastic analysis techniques, the measure of non-compactness, semigroup theory, and fractional calculus. The discussed theory is illustrated through an example.

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来源期刊

Stochastic Analysis and Applications 数学-统计学与概率论

CiteScore

2.70

自引率

7.70%

发文量

审稿时长

6-12 weeks

期刊介绍： Stochastic Analysis and Applications presents the latest innovations in the field of stochastic theory and its practical applications, as well as the full range of related approaches to analyzing systems under random excitation. In addition, it is the only publication that offers the broad, detailed coverage necessary for the interfield and intrafield fertilization of new concepts and ideas, providing the scientific community with a unique and highly useful service.