217 citations · 1.3k across the 28 of their papers we have counts for
3 papers · 2 filters
The fractional Poisson process and the inverse stable subordinator
Mark M. Meerschaert, Erkan Nane, P. Vellaisamy
The fractional Poisson process is a renewal process with Mittag-Leffler waiting times. Its distributions solve a time-fractional analogue of the Kolmogorov forward equation for a P…
Tempered stable laws as random walk limits
Arijit Chakrabarty, Mark M. Meerschaert
Stable laws can be tempered by modifying the Lévy measure to cool the probability of large jumps. Tempered stable laws retain their signature power law behavior at infinity, and in…
Transient anomalous sub-diffusion on bounded domains
Erkan Nane, Mark M. Meerschaert, Palaniappan Vellaisamy
This paper develops strong solutions and stochastic solutions for the tempered fractional diffusion equation on bounded domains. First the eigenvalue problem for tempered fractiona…