Stochastic Fractional Anderson Models with Fractional Noises 被引量：1

Stochastic Fractional Anderson Models with Fractional Noises

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摘要 The authors are concerned with a class of one-dimensional stochastic Anderson models with double-parameter fractional noises, whose differential operators are fractional. A unique solution for the model in some appropriate Hilbert space is constructed. Moreover, the Lyapunov exponent of the solution is estimated, and its HSlder continuity is studied. On the other hand, the absolute continuity of the solution is also discussed.

作者 Yiming JIANG Kehua SHI Yongjin WANG

机构地区 School of Mathematical Sciences and LPMC School of Mathematical Sciences and LPMC

出处《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2010年第1期101-118,共18页 数学年刊（B辑英文版）

基金 supported by the National Natural Science Foundation of China (No. 10871103)

关键词 Anderson models Fractional noises Lyapunov exponent Holder continuity Absolute continuity 参数分数安德森模型类随机 Lyapunov指数绝对连续性噪声希尔伯特空间

分类号 O415.5 [理学—理论物理] TJ02 [兵器科学与技术—兵器发射理论与技术]

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