Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
979047 | Physica A: Statistical Mechanics and its Applications | 2007 | 15 Pages |
Abstract
This work is devoted to investigating exact solutions of generalized nonlinear fractional diffusion equations with external force and absorption. We first investigate the nonlinear anomalous diffusion equations with one-fractional derivative and then multi-fractional ones. In both situations, we obtain the corresponding exact solution, its diffusive behavior, and the sufficient and necessary conditions for solutions satisfying the boundary condition W(±∞,t)=0W(±∞,t)=0 and the sharp initial condition W(x,0)=δ(x)W(x,0)=δ(x).
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Jin-Rong Liang, Fu-Yao Ren, Wei-Yuan Qiu, Jian-Bin Xiao,