含外力项的分数次非线性扩散方程的解和首次到达时间(英文)

Solution and First Passage Time for Fractional Nonlinear Diffusion Equation with External Force

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摘要研究了一类描述带有外力场的反常扩散过程的分数次非线性扩散方程的解和首次到达时间(FPT)分布,并且外力项与时间、空间变量以及吸收性边界相关,最终得到了扩散过程的概率密度函数、均方位移、首次到达时间、平均首次到达时间的精确表达式和时间变量所决定的不同扩散系数对这些量的影响. The solutions and the first passage time distributions for anomalous diffusion processes governed by fractional nonlinear diffusion equations with diffusion coefficients and external forces depending on space and time variables, and subject to absorbing boundaries are investigated. The explicit analytical expressions and asymptotic behaviors for the probability distribution, the mean square displacement, the first passage time distribution and the mean first passage time corresponding to various time dependent diffusion coefficients are also obtained.

作者张攀

机构地区复旦大学数学科学学院

出处《复旦学报（自然科学版）》 CAS CSCD 北大核心 2009年第6期720-725,共6页 Journal of Fudan University：Natural Science

基金 Supported by Chinese NNSF (10871047)

关键词分数次非线性扩散方程首次到达时间均方位移 fractional nonlinear diffusion equation first passage time mean square displacement

分类号 O17 [理学—基础数学]

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复旦学报（自然科学版）

2009年第6期

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含外力项的分数次非线性扩散方程的解和首次到达时间(英文)

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