Article ID Journal Published Year Pages File Type
4630732 Applied Mathematics and Computation 2011 7 Pages PDF
Abstract

This paper investigates the space fractional diffusion equation with fractional Feller’s operator. The Green’s function is obtained by using Fourier transform, and the analytical solutions of some space fractional diffusion equations with initial (or initial and boundary) condition are obtained in terms of Green’s function. In addition, numerical simulations are discussed. The results indicate that the effect range of skewness parameter θθ has more effect on probability density than that of parameter αα. The results also explain the property of the skewness and long tail in the asymmetry diffusion process.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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