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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/85203 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832554121491644416 |
|---|---|
| author | Kamel Haouam Mourad Sfaxi |
| author_facet | Kamel Haouam Mourad Sfaxi |
| author_sort | Kamel Haouam |
| collection | DOAJ |
| 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|. |
| format | Article |
| id | doaj-art-dc77e7982e0a4cf0a45639244b636192 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-dc77e7982e0a4cf0a45639244b6361922025-02-03T05:52:19ZengWileyInternational 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/IJMMS/2006/85203 |
| work_keys_str_mv | AT kamelhaouam necessaryconditionsforlocalandglobalexistencetoareactiondiffusionsystemwithfractionalderivatives AT mouradsfaxi necessaryconditionsforlocalandglobalexistencetoareactiondiffusionsystemwithfractionalderivatives |