34 citations · 51 across the 10 of their papers we have counts for
5 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…
Delay compartment models from a stochastic process
Christopher N. Angstmann, Anna V. McGann, Zhuang Xu
Compartment models with delay terms are widely used across a range of disciplines. The motivation to include delay terms varies across different contexts. In epidemiological and ph…
Delay Infectivity and Delay Recovery SIR model
Christopher N. Angstmann, Stuart-James M. Burney, Anna V. McGann +1
We have derived the governing equations for an SIR model with delay terms in both the infectivity and recovery of the disease. The equations are derived by modelling the dynamics a…
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…