A triangular nonlinear reaction-fractional diffusion system with a balance law

The aim of this paper is to establish a global existence result for a nonlinear reaction diffusion system with fractional Laplacians of different orders and a balance law. Our method of proof is based on a duality argument and a recent maximal regularity result due to Zhang. Copyright © 2017 John Wiley & Sons, Ltd.

Authors
Alsaedi A. 1 , Al-Yami M. 2 , Kirane M. 3, 4, 5, 7 , Momenkhan F. 6
Journal
Mathematical Methods in the Applied Sciences
Publisher
John Wiley and Sons Ltd
Issue number
5
Language
English
Pages
1825-1830
State
Published
Link
External link
DOI
10.1002/MMA.4709
Volume
41
Year
2018
Organizations
  • 1 Mathematics Department, NAAM Research Group, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia
  • 2 NAAM Research Group, Girls College of Education, King Abdulaziz University, P.O. Box 10229, Jeddah, 21321, Saudi Arabia
  • 3 LASIE, Faculté des Sciences, Pole Sciences et Technologies, Université de La Rochelle, Avenue M. Crepeau, La Rochelle Cedex, 17042, France
  • 4 NAAM Research Group, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia
  • 5 RUDN University, 6 Miklukho-Maklay Street, Moscow, 117198, Russian Federation
  • 6 Statistics Department, Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, King AbdulAziz University, P.O. Box 4410, Jeddah, 21491, Saudi Arabia
  • 7 LASIE, University of La Rochelle, Avenue M. Crepeau, La Rochelle Cedex, 17042, France
Keywords
balance law; fractional Laplacian; global solution; reaction-diffusion system
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