Anomalous diffusion, stable processes, and generalized functions.
The evolution equations in real space and time corresponding to a class of anomalous diffusion processes are examined. As special cases, evolution equations corresponding to stable processes are derived using the theory of generalized functions, recovering some known results differently interpreted, and an evolution law for stable processes of order unity.
Hughes
Barry D
BD
Department of Mathematics and Statistics, University of Melbourne, Victoria 3010, Australia.