Published September 2018 | Version v1
Journal article

Fractional space–time nonlinear reaction–convection–diffusion

  • 1. State University of Maranhão, UEMA, Department of Mathematics, DEMATI (Brazil)
  • 2. State University of Maranhão, Computer Engineering, Engecomp (Brazil)

Description

We comment the fractional space–time reaction–convection–diffusion defined by Grünwald–Letnikov, Riesz and Riesz–Feller fractional derivatives. We find the explicit travelling wave solution, using the similarity reduction. We plot its graphics to illustrate the anomalous behavior and investigate its properties associated with memory and distance effects.

Additional details

Identifiers

Publishing Information

Journal Title
Computational and Applied Mathematics
Journal Volume
37
Journal Issue
4
Journal Page Range
p. 4357-4375
ISSN
0101-8205

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
50012455
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
DIFFUSION; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; TRAVELLING WAVES

Optional Information

Copyright
Copyright (c) 2018 SBMAC - Sociedade Brasileira de Matem#Latin Small Letter A With Acute#tica Aplicada e Computacional