FRACTIONAL DIFFERENTIAL EQUATION AND CONTINUOUS TIME RANDOM WALK (CTRW) IN ANOMALOUS DIFFUSIOIN MODE

来源 :The Third International Conference on Dynamics,Vibration and | 被引量 : 0次 | 上传用户:lcmeng
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  In the recent decades anomalous diffusion have attracted much attention thanks to its extreme importance in many physical fields, e.g.tracer transport through porous media, turbulence [1], nuclear proliferation, chemistry, biology, environmental sciences, even in economics and finance.The mean square displacement (MSD) of a diffusing particle can be stated as < x2 (t) >∝ t in the normal diffusion, but the MSD has been observed exhibiting < x 2 (t) >∝tα, in anomalous diffusion and can be a constant[2], larger or smaller than 1.
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