Travelling Waves in Space-Fractional Nonlinear Diffusion with Linear Convection  

作　　者：Felix Silva Costa Marta Raquel Araujo Pereira 

机构地区：[1]Department of Mathematics and Informatics, State University of Maranhão, São Luis, Brazil [2]Computer Engineering, State University of Maranhão, São Luis, Brazil

出　　处：《Journal of Applied Mathematics and Physics》2017年第2期462-468,共7页应用数学与应用物理（英文）

摘　　要：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.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.

关 键 词：FRACTIONAL CONVECTION-DIFFUSION RIESZ Derivative TRAVELLING Wave WAVEFRONT 

分 类 号：O1[理学—数学]