6 citations · 8 across the 5 of their papers we have counts for
5 papers
Analytical solutions of moving boundary problems for the time-fractional diffusion equation
M. Rodrigo
The time-fractional diffusion equation is considered, where the time derivative is either of Caputo or Riemann-Liouville type. The solution of a general initial-boundary value prob…
A spatio-temporal analogue of the Omori-Utsu law of aftershock sequences
Marianito R. Rodrigo
A spatio-temporal version of the well-known Omori-Utsu law of aftershock sequences is proposed. This 'diffusive Omori-Utsu law' satisfies a nonlinear partial differential equation…
A unified way to solve IVPs and IBVPs for the time-fractional diffusion-wave equation
Marianito R. Rodrigo
The time-fractional diffusion-wave equation is revisited, where the time derivative is of order and . The behaviour of the equation is "diffusion-like" (respectiv…
Traveling wave solutions in a model for tumor invasion with the acid-mediation hypothesis
P. N. Davis, P. van Heijster, R. Marangell +1
In this manuscript, we prove the existence of slow and fast traveling wave solutions in the original Gatenby--Gawlinski model. We prove the existence of a slow traveling wave solut…
Model for Acid-Mediated Tumour Invasion with Chemotherapy Intervention I: Homogeneous Populations
Andrew B. Holder, Marianito R. Rodrigo
The acid-mediation hypothesis, that is, the hypothesis that acid produced by tumours, as a result of aerobic glycolysis, provides a mechanism for invasion, has so far been consider…