Author(s)

Felix Silva Costa¹, Marta Raquel Araujo Pereira²

¹Department of Mathematics and Informatics, State University of Maranhão, São Luis, Brazil.
²Computer Engineering, State University of Maranhão, São Luis, Brazil.

In this paper we investigate anomalous diffusion coupled with linear convection, using fractional calculus to describe the anomalous associated memory effects in diffusive term. We get an explicit travelling wave solution, wavefront, with finite propagation. We comment the properties of the solution, including the stationary case.

Fractional Convection-Diffusion, Riesz Derivative, Travelling Wave, Wavefront

Costa, F. and Araujo Pereira, M. (2017) Travelling Waves in Space-Fractional Nonlinear Diffusion with Linear Convection. Journal of Applied Mathematics and Physics, 5, 462-468. doi: 10.4236/jamp.2017.52041.