23 citations · 31 across the 2 of their papers we have counts for
4 papers
Anomalous Diffusion in One-Dimensional Disordered Systems: A Discrete Fractional Laplacian Method
J. L. Padgett, E. G. Kostadinova, C. D. Liaw +3
This work extends the applications of Anderson-type Hamiltonians to include transport characterized by anomalous diffusion. Herein, we investigate the transport properties of a one…
Analysis of an approximation to a fractional extension problem
Joshua L Padgett
The purpose of this work is to study an approximation to an abstract Bessel-type problem, which is a generalization of the extension problem associated with fractional powers of th…
The quenching of solutions to time-space fractional Kawarada problems
Joshua L Padgett
Quenching solutions to a Kawarada problem with a Caputo time-fractional derivative and a fractional Laplacian are considered. The solutions to such problems may only exist locally…
Delocalization in infinite disordered 2D lattices of different geometry
E G Kostadinova, K Busse, N Ellis +4
The spectral approach to infinite disordered crystals is applied to an Anderson-type Hamiltonian to demonstrate the existence of extended states for nonzero disorder in 2D lattices…