Exact solutions for nonlinear fractional anomalous diffusion equations

Jin-Rong Liang, Fu-Yao Ren, Wei-Yuan Qiu and Jian-Bin Xiao

Physica A: Statistical Mechanics and its Applications, 2007, vol. 385, issue 1, 80-94

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)=0 and the sharp initial condition W(x,0)=δ(x).

Keywords: Anomalous diffusion; Fractional derivative; Fractional diffusion equation (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:385:y:2007:i:1:p:80-94

DOI: 10.1016/j.physa.2007.06.016

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