On fractional Schrödinger equation in αα-dimensional fractional space

The Schrödinger equation is solved in αα-dimensional fractional space with a Coulomb potential proportional to 1rβ−2, 2≤β≤42≤β≤4. The wave functions are studied in terms of spatial dimensionality αα and ββ and the results for β=3β=3 are compared with those obtained in the literature.