We obtain the existence of a global weak solution to a fractional nonlinear Schrödinger equation by the Galerkin method. Its uniqueness is also discussed. In our proof, we use harmonic analysis techniques and compactness arguments.
"On the Weak Solution to a Fractional Nonlinear Schrödinger Equation." Abstr. Appl. Anal. 2014 1 - 6, 2014. https://doi.org/10.1155/2014/569693