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Riemann–Liouville fractional stochastic evolution equations driven by both Wiener process and fractional Brownian motion
Journal of Inequalities and Applications ( IF 1.5 ) Pub Date : 2021-01-11 , DOI: 10.1186/s13660-020-02541-3
Min Yang , Haibo Gu

This article is devoted to the study of the existence and uniqueness of mild solution to a class of Riemann–Liouville fractional stochastic evolution equations driven by both Wiener process and fractional Brownian motion. Our results are obtained by using fractional calculus, stochastic analysis, and the fixed-point technique. Moreover, an example is provided to illustrate the application of the obtained abstract results.

中文翻译:

维纳过程和分数布朗运动共同驱动的黎曼-利维尔分数随机演化方程

本文致力于研究维纳过程和分数布朗运动驱动的一类Riemann-Liouville分数随机演化方程的温和解的存在性和唯一性。我们的结果是通过使用分数演算,随机分析和定点技术获得的。此外,提供了一个示例来说明获得的抽象结果的应用。
更新日期:2021-01-12
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