217 citations · 1.3k across the 28 of their papers we have counts for
3 papers · 2 filters
Modeling and simulation with operator scaling
Serge Cohen, Mark M. Meerschaert, Jan Rosinski
Self-similar processes are useful in modeling diverse phenomena that exhibit scaling properties. Operator scaling allows a different scale factor in each coordinate. This paper dev…
Distributed-order fractional Cauchy problems on bounded domains
Mark M. Meerschaert, Erkan Nane, Palaniappan Vellaisamy
In a fractional Cauchy problem, the usual first order time derivative is replaced by a fractional derivative. The fractional derivative models time delays in a diffusion process. T…
Space-time duality for fractional diffusion
Boris Baeumer, Mark M. Meerschaert, Erkan Nane
Zolotarev proved a duality result that relates stable densities with different indices. In this paper, we show how Zolotarev duality leads to some interesting results on fractional…