%0 Journal Article %T Existence of positive solutions for nonlinear fractional systems in bounded domains %A Imed Bachar %J Electronic Journal of Differential Equations %D 2012 %I Texas State University %X We prove the existence of positive continuous solutions to the nonlinear fractional system $$displaylines{ (-Delta|_D) ^{alpha/2}u+lambda g(.,v) =0, cr (-Delta|_D) ^{alpha/2}v+mu f(.,u) =0, }$$ in a bounded $C^{1,1}$-domain $D$ in $mathbb{R}^n$ $(ngeq 3)$, subject to Dirichlet conditions, where $0 %K Fractional nonlinear systems %K Green function %K positive solutions %K blow-up solutions %U http://ejde.math.txstate.edu/Volumes/2012/208/abstr.html