Solutions For A Generalized Fractional Anomalous Diffusion Equation

Details Solutions For A Generalized Fractional Anomalous Diffusion Equation Solutions For A Generalized Fractional Anomalous Diffusion Equation

2012-01-11

arxiv.org/abs/1201.2266v1

J. Comput. Appl. Math. 225(1): 301--308(2009)

Physics

Mathematical Physics

10 pages, LaTeX, 3 figures

Scientific paper

10.1016/j.cam.2008.03.029

In this paper, we investigate the solutions for a generalized fractional diffusion equation that extends some known diffusion equations by taking a spatial time-dependent diffusion coefficient and an external force into account, which subjects to the natural boundaries and the generic initial condition. We obtain explicit analytical expressions for the probability distribution and study the relation between our solutions and those obtained within the maximum entropy principle by using the Tsallis entropy.

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