Necessary conditions for local and global existence to a reaction-diffusion system with fractional derivatives

Necessary conditions for local and global existence to a reaction-diffusion system with fractional derivatives

We give some necessary conditions for local and global existence of a solution to reaction-diffusion system of type (FDS) with temporal and spacial fractional derivatives. As in the case of single equation of type (STFE) studied by M. Kirane et al. (2005), we prove that these conditions depend on th...

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Main Authors: Kamel Haouam, Mourad Sfaxi
Format: Article
Language:English
Published: Hindawi Limited 2006-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS/2006/85203
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spelling doaj-dc77e7982e0a4cf0a45639244b6361922020-11-24T23:14:58ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/8520385203Necessary conditions for local and global existence to a reaction-diffusion system with fractional derivativesKamel Haouam0Mourad Sfaxi1Latp, Centre de Mathématiques et Informatiques, Université de Provence, 39 rue F., Joliot-Curie, 13453 Marseille cedex 13, FranceLatp, Centre de Mathématiques et Informatiques, Université de Provence, 39 rue F., Joliot-Curie, 13453 Marseille cedex 13, FranceWe give some necessary conditions for local and global existence of a solution to reaction-diffusion system of type (FDS) with temporal and spacial fractional derivatives. As in the case of single equation of type (STFE) studied by M. Kirane et al. (2005), we prove that these conditions depend on the behavior of initial conditions for large |x|.http://dx.doi.org/10.1155/IJMMS/2006/85203
collection DOAJ
language English
format Article
sources DOAJ
author Kamel Haouam
Mourad Sfaxi
spellingShingle Kamel Haouam
Mourad Sfaxi
Necessary conditions for local and global existence to a reaction-diffusion system with fractional derivatives
International Journal of Mathematics and Mathematical Sciences
author_facet Kamel Haouam
Mourad Sfaxi
author_sort Kamel Haouam
title Necessary conditions for local and global existence to a reaction-diffusion system with fractional derivatives
title_short Necessary conditions for local and global existence to a reaction-diffusion system with fractional derivatives
title_full Necessary conditions for local and global existence to a reaction-diffusion system with fractional derivatives
title_fullStr Necessary conditions for local and global existence to a reaction-diffusion system with fractional derivatives
title_full_unstemmed Necessary conditions for local and global existence to a reaction-diffusion system with fractional derivatives
title_sort necessary conditions for local and global existence to a reaction-diffusion system with fractional derivatives
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2006-01-01
description We give some necessary conditions for local and global existence of a solution to reaction-diffusion system of type (FDS) with temporal and spacial fractional derivatives. As in the case of single equation of type (STFE) studied by M. Kirane et al. (2005), we prove that these conditions depend on the behavior of initial conditions for large |x|.
url http://dx.doi.org/10.1155/IJMMS/2006/85203
work_keys_str_mv AT kamelhaouam necessaryconditionsforlocalandglobalexistencetoareactiondiffusionsystemwithfractionalderivatives
AT mouradsfaxi necessaryconditionsforlocalandglobalexistencetoareactiondiffusionsystemwithfractionalderivatives
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