28 citations · 45 across the 12 of their papers we have counts for
3 papers · 1 filter
An Application of Fractional Differential Equations to Risk Theory
Corina D. Constantinescu, Jorge M. Ramirez, Wei R. Zhu
This paper defines a new class of fractional differential operators alongside a family of random variables whose density functions solve fractional differential equations equipped…
Dynamics of drainage under stochastic rainfall in river networks
Jorge M Ramirez, Corina Constantinescu
We consider a linearized dynamical system modelling the flow rate of water along the rivers and hillslopes of an arbitrary watershed. The system is perturbed by a random rainfall i…
Continuity of Local Time: An applied perspective
Jorge M. Ramirez, Edward C. Waymire, Enrique A. Thomann
Continuity of local time for Brownian motion ranks among the most notable mathematical results in the theory of stochastic processes. This article addresses its implications from t…