  We consider non-relativistic position-dependent mass (PDM) Schrodinger
particles moving in an elastic medium with space-like screw dislocation. Within
the cylindrical coordinates, we study and report the effects of screw
dislocation as well as PDM settings on the energy levels of some PDM-quantum
mechanical systems. In so doing, we use a power-law type positive-valued
dimensionless scalar multiplier f(r) (Which manifestly introduces the
metaphoric notion of PDM-Schrodinger particles). Next, we subject such PDM
particles to magnetic and Aharonov-Bohm flux fields. We report exact or
conditionally exact eigenvalues and eigenfunctions for V (r) = 0 and V (r) = a
+ b r + c r^2
