Fractional Schrodinger equation with space-time fractional derivatives

Generalized fractional Schr[o-umlaut]dinger equation with space-time fractional derivatives

Journal of Mathematical Physics

Shaowei Wang and Mingyu Xu

In this paper the generalized fractional Schrodinger equation with space and time fractional derivatives is constructed. The equation is solved for free particle and for a square potential well by the method of integral transforms, Fourier transform and Laplace transform, and the solution can be exp ... [J. Math. Phys. 48, 043502 (2007)]  published Wed Apr 4, 2007.