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Stability of a Non-Lipschitz Stochastic Riemann-Liouville Type Fractional Differential Equation Driven by Lévy Noise
Acta Applicandae Mathematicae, Volume: 180, Issue: 1
Swansea University Author:
Jiang-lun Wu
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DOI (Published version): 10.1007/s10440-022-00506-w
Abstract
In this paper, stability of a non-Lipschitz stochastic Riemann-Liouville type fractional differential equation driven by L\'levy noise is studied. Three types of stability, namely, stochastic stability, almost sure exponential stability, and moment exponential stability, of the fractional equat...
Published in: | Acta Applicandae Mathematicae |
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ISSN: | 0167-8019 1572-9036 |
Published: |
Springer Nature Switzerland AG
Springer Science and Business Media LLC
2022
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Online Access: |
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URI: | https://cronfa.swan.ac.uk/Record/cronfa60140 |
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Abstract: |
In this paper, stability of a non-Lipschitz stochastic Riemann-Liouville type fractional differential equation driven by L\'levy 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. |
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Keywords: |
Fractional derivative of Riemann-Liouville type · Stochastic fractional differential equations with non-Lipschitz coefficients · Lévy noise · Stochastic stability · Almost sure exponential stability · Moment exponential stability |
College: |
Faculty of Science and Engineering |
Funders: |
This research was supported by the National Natural Science Foundation of China (12071003). This research was also supported by the Top Talent Project of University Discipline (speciality) (gxbjZD03) and by the National Natural Science Foundation of China (11901005). |
Issue: |
1 |