Fractional reaction–di usion
نویسندگان
چکیده
We derive a fractional reaction–di usion equation from a continuous-time random walk model with temporal memory and sources. The equation provides a general model for reaction–di usion phenomena with anomalous di usion such as occurs in spatially inhomogeneous environments. As a rst investigation of this equation we consider the special case of single species fractional reaction–di usion in one dimension and show that the fractional di usion does not by itself precipitate a Turing instability. c © 2000 Elsevier Science B.V. All rights reserved. PACS: 05.40.Fb; 02.50.Ey; 87.15.Vv
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