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

被引：8
|
作者：
Balasubramaniam, P. [1 ]
机构：
[1] Gandhigram Rural Inst Deemed Univ, Dept Math, Gandhigram 624302, Tamil Nadu, India
来源：
STOCHASTIC ANALYSIS AND APPLICATIONS | 2023年 / 41卷 / 01期
关键词：
Stochastic differential systems; non-instantaneous impulse; fixed point theorem; mixed Brownian motions; Levy noise; DIFFERENTIAL-EQUATIONS; INTEGRODIFFERENTIAL EQUATIONS; EXISTENCE; CONTROLLABILITY; STABILITY;
D O I：
10.1080/07362994.2021.1990082
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper discusses the existence result for a class of non-instantaneous impulsive Hilfer fractional stochastic systems (NIHFSS) driven by mixed Brownian motion and Levy noise. Sufficient conditions are obtained by utilizing Mo center dot nch fixed point theorem (FPT) for the existence of solution of non-instantaneous impulsive Hilfer fractional stochastic system of order 0<gamma<1 and of type 0 <=delta <= 1. 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.
引用
收藏
页码：60 / 79
页数：20
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