Stability of a Non-Lipschitz Stochastic Riemann-Liouville Type Fractional Differential Equation Driven by Lévy Noise

doi:10.1007/s10440-022-00506-w

Details of Research Outputs

Status	已发表Published
Title	Stability of a Non-Lipschitz Stochastic Riemann-Liouville Type Fractional Differential Equation Driven by Lévy Noise
Creator	Shen, Guangjun 1; Wu, Jianglun2 ; Xiao, Ruidong 1; Zhan, Weijun 1
Date Issued	2022-08
Source Publication	Acta Applicandae Mathematicae
ISSN	0167-8019
Volume	180 Issue:1
Abstract	In this paper, stability of a non-Lipschitz stochastic Riemann-Liouville type fractional differential equation driven by Lévy noise is studied. Three types of stability, namely, stochastic stability, almost sure exponential stability, and moment exponential stability, of the fractional equation are established. Examples are given to illustrate and to support our results.
Keyword	Almost sure exponential stability Fractional derivative of Riemann-Liouville type Lévy noise Moment exponential stability Stochastic fractional differential equations with non-Lipschitz coefficients Stochastic stability
DOI	10.1007/s10440-022-00506-w
URL	View source
Indexed By	SCIE
Language	英语English
WOS Research Area	Mathematics
WOS Subject	Mathematics, Applied
WOS ID	WOS:000814283800005
Scopus ID	2-s2.0-85132575860
Citation statistics	Cited Times:3[WOS] [WOS Record] [Related Records in WOS]
Document Type	Journal article
Identifier	http://repository.uic.edu.cn/handle/39GCC9TT/10475
Collection	Research outside affiliated institution
Corresponding Author	Wu, Jianglun
Affiliation	1.Department of Mathematics,Anhui Normal University,Wuhu,241000,China 2.Department of Mathematics,Computational Foundry,Swansea University,Swansea,SA1 8EN,United Kingdom
Recommended Citation GB/T 7714	Shen, Guangjun,Wu, Jianglun,Xiao, Ruidonget al. Stability of a Non-Lipschitz Stochastic Riemann-Liouville Type Fractional Differential Equation Driven by Lévy Noise[J]. Acta Applicandae Mathematicae, 2022, 180(1).
APA	Shen, Guangjun, Wu, Jianglun, Xiao, Ruidong, & Zhan, Weijun. (2022). Stability of a Non-Lipschitz Stochastic Riemann-Liouville Type Fractional Differential Equation Driven by Lévy Noise. Acta Applicandae Mathematicae, 180(1).
MLA	Shen, Guangjun,et al."Stability of a Non-Lipschitz Stochastic Riemann-Liouville Type Fractional Differential Equation Driven by Lévy Noise". Acta Applicandae Mathematicae 180.1(2022).

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