Necessary conditions for local and global existence to a reaction-diffusion system with fractional derivatives
2006 ◽
Vol 2006
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pp. 1-8
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Keyword(s):
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|.