Recently it was pointed out that the solutions found in literature for the
space fractional Schr\"odinger equation in a piecewise manner are wrong, except
the case with the delta potential. We reanalyze this problem and show that an
exact and a proper treatment of the relevant integral proves otherwise. We also
discuss effective potential approach and present a free particle solution for
the space and time fractional Schr\"odinger equation in general coordinates in
terms of Fox's H-functions
