Fractional reaction–diffusion

B.i Henry and S.l Wearne

Physica A: Statistical Mechanics and its Applications, 2000, vol. 276, issue 3, 448-455

Abstract: We derive a fractional reaction–diffusion equation from a continuous-time random walk model with temporal memory and sources. The equation provides a general model for reaction–diffusion phenomena with anomalous diffusion such as occurs in spatially inhomogeneous environments. As a first investigation of this equation we consider the special case of single species fractional reaction–diffusion in one dimension and show that the fractional diffusion does not by itself precipitate a Turing instability.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:276:y:2000:i:3:p:448-455

DOI: 10.1016/S0378-4371(99)00469-0

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