Invariant analysis and conservation laws of time fractional Schrodinger equations

We study the invariance properties (symmetries) and conservation laws of the fractional time version of the nonlinear Schrodinger equation with power law nonlinearity iy(i)(alpha) + y(xx )+ y vertical bar y vertical bar(n) = 0, for 0 < alpha < 1, using some recently developed approaches. We will show that the all important energy conservation due time invariance is lost due to some built in approach that the theory necessitates