Answer to an open problem proposed by R Metzler and J Klafter

被引：13

作者：

Ren, Fu-Yao ^{[1
]}

Liang, Jin-Rong

Qiu, Wei-Yuan

Xiao, Jian-Bin

机构：

[1] Fudan Univ, Dept Math, Shanghai 200433, Peoples R China

[2] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China

[3] Hangzhou Dianzi Univ, Sch Sci, Hangzhou 310037, Peoples R China

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2006年 / 39卷 / 18期

关键词：

D O I：

10.1088/0305-4470/39/18/009

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In a positive answer to the open problem proposed by R Metzler and J Klafter, it is proved that the asymptotic shape of the solution for a wide class of fractional Fokker-Planck equations is a stretched Gaussian for the initial condition being a pulse function in the homogeneous and heterogeneous fractal structures, whose mean square displacement behaves like <(Delta x)(2)(t)>similar to t(V) and <(Delta x)(2)(t)>similar to x(-theta)t(V)(0 < gamma < 1, -infinity < theta < +infinity), respectively.

引用

页码：4911 / 4919

页数：9

共 34 条

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