3 papers · 1 filter
A compounded random walk for space-fractional diffusion on finite domains
Christopher N. Angstmann, Daniel S. Han, Bruce I. Henry +2
We formulate a compounded random walk that is physically well defined on both finite and infinite domains, and samples space-dependent forces throughout jumps. The governing evolut…
Finite Time Blowup of Integer- and Fractional-Order Time-Delayed Diffusion Equations
Christopher N. Angstmann, Stuart-James M. Burney, Daniel S. Han +3
In this work, exact solutions are derived for an integer- and fractional-order time-delayed diffusion equation with arbitrary initial conditions. The solutions are obtained using F…
Exact Solutions of Time-Delay Integer- and Fractional-Order Advection Equations
Christopher N. Angstmann, Stuart-James M. Burney, Daniel S. Han +2
Transport phenomena play a vital role in various fields of science and engineering. In this work, exact solutions are derived for advection equations with integer- and fractional-o…