Stochastic Fractional Anderson Models with Fractional Noises  

作　　者：Yiming JIANG Kehua SHI Yongjin WANG 

机构地区：[1]School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China [2]School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China

出　　处：《Chinese Annals of Mathematics,Series B》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)

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.

关 键 词：Anderson models Fractional noises Lyapunov exponent Holder continuity Absolute continuity 

分 类 号：O415.5[理学—理论物理] TJ02[理学—物理]