International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 18, Pages 85203, 8 p.
doi:10.1155/IJMMS/2006/85203

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

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|.