Ford, Neville J.Rodrigues, M. ManuelaVieira, Nelson2026-03-122026-03-122013-03-19Ford, N.J., Manuela Rodrigues, M. & Vieira, N. A numerical method for the fractional Schrödinger type equation of spatial dimension two. fcaa 16, 454–468 (2013). https://doi.org/10.2478/s13540-013-0028-51311-04541314-2224http://hdl.handle.net/10400.8/15851This work focuses on an investigation of the (n+1)-dimensional time-dependent fractional Schrödinger type equation. In the early part of the paper, the wave function is obtained using Laplace and Fourier transform methods and a symbolic operational form of the solutions in terms of Mittag-Leffler functions is provided. We present an expression for the wave function and for the quantum mechanical probability density. We introduce a numerical method to solve the case where the space component has dimension two. Stability conditions for the numerical scheme are obtained.engFinite difference methodFractional partial differential equationFractional Schrödinger equationMittag-Leffler functionjournal article10.2478/s13540-013-0028-5