Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10480869 | Physica A: Statistical Mechanics and its Applications | 2013 | 7 Pages |
Abstract
In this paper, we consider a type of continuous time random walk model where the jump length is correlated with the waiting time. The asymptotic behaviors of the coupled jump probability density function in the Fourier-Laplace domain are discussed. The corresponding fractional diffusion equations are derived from the given asymptotic behaviors. Corresponding to the asymptotic behaviors of the joint probability density function in the Fourier-Laplace space, the asymptotic behaviors of the waiting time probability density and the conditional probability density for jump length are also discussed.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Long Shi, Zuguo Yu, Zhi Mao, Aiguo Xiao, Hailan Huang,