The space fractional diffusion equation with Feller’s operator |
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Authors: | Bo Zhu |
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Affiliation: | School of Mathematics and Statistics, Shandong Economic University, Jinan 250014, PR China |
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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 θ has more effect on probability density than that of parameter α. The results also explain the property of the skewness and long tail in the asymmetry diffusion process. |
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Keywords: | Fractional diffusion equation Feller&rsquo s operator Anomalous diffusion Fourier transform |
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