Reactive chemical transport plays a key role in geological media across scales, from pore
scale to aquifer scale. Systems can be altered by changes in solution chemistry and a wide …

Classical option pricing schemes assume that the value of a financial asset follows a
geometric Brownian motion (GBM). However, a growing body of studies suggest that a …

Fractional-order SIR models have become increasingly popular in the literature in recent
years, however unlike the standard SIR model, they often lack a derivation from an …

Over the past several decades, there has been a proliferation of epidemiological models
with ordinary derivatives replaced by fractional derivatives in an ad hoc manner. These …

Nanoparticles (NPs) have distinct pharmacokinetic (PK) properties and can potentially
improve the absorption, distribution, metabolism, and elimination (ADME) of small-molecule …

Compartment models have been used to describe the time evolution of a system undergoing
reactions between populations in different compartments. The governing equations are a set …

In the last few years, reaction–diffusion models associated with discrete fractional calculus
have risen in prominence in scientific fields, not just due to the requirement for numerical …

Compartment models are a widely used class of models that are useful when considering
the flow of objects, people, or energy between different labeled states, referred to as …

We introduce a persistent random walk model for the stochastic transport of particles
involving self-reinforcement and a rest state with Mittag–Leffler distributed residence times …

Continuous time random walks, which generalize random walks by adding a stochastic time
between jumps, provide a useful description of stochastic transport at mesoscopic scales …