期刊
CHAOS
卷 32, 期 10, 页码 -出版社
AIP Publishing
DOI: 10.1063/5.0108050
关键词
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资金
- National Natural Science Foundation of China (NNSFC) [12161015]
- Slovak Research and Development Agency [APVV-18-0308]
- Slovak Grant Agency VEGA [1/0358/20, 2/0127/20]
- Guizhou Data Driven Modeling Learning and Optimization Innovation Team [[2020]5016]
- Major Project of Guizhou Postgraduate Education and Teaching Reform [YJSJGKT[2021]041]
- Postgraduate Education Innovation Program in Guizhou Province [YJSKYJJ[2021]062]
In this paper, we investigate the averaging principle for Caputo-type fractional stochastic differential equations driven by Brownian motion. By using Holder inequality and growth conditions, we show the desired averaging principle in the sense of mean square and provide a simulation example to verify the theoretical results.
In this paper, we investigate the averaging principle for Caputo-type fractional stochastic differential equations driven by Brownian motion. Different from the approach of integration by parts or decomposing integral interval to deal with the estimation of integral involving singular kernel in the existing literature, we show the desired averaging principle in the sense of mean square by using Holder inequality via growth conditions on the nonlinear stochastic term. Finally, a simulation example is given to verify the theoretical results. Published under an exclusive license by AIP Publishing.
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