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

Kamel Haouam and Mourad Sfaxi

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-8

Abstract:

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 | .

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:085203

DOI: 10.1155/IJMMS/2006/85203

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