In this review paper, we stress the importance of the higher transcendental Wright functions
of the second kind in the framework of Mathematical Physics. We first start with the analytical …

We study the first-passage problem for a process governed by a stochastic differential
equation (SDE) driven simultaneously by both parametric Gaussian and Lévy white noises …

Brownian motion is a ubiquitous physical phenomenon across the sciences. After its
discovery by Brown and intensive study since the first half of the 20th century, many different …

Disturbances related to extreme weather events, such as hurricanes, heavy precipitation
events, and droughts, are important drivers of evolution processes of a shallow lake …

In real systems, the unpredictable jump changes of the random environment can induce the
critical transitions (CTs) between two non-adjacent states, which are more catastrophic …

We introduce and study a Lévy walk (LW) model of particle spreading with a finite
propagation speed combined with soft resets, stochastically occurring periods in which an …

Fractional kinetic equations employ noninteger calculus to model anomalous relaxation and
diffusion in many systems. While this approach is well explored, it so far failed to describe an …

Starting with a stochastic differential equation driven by combined Gaussian and Lévy noise
terms we determine the associated fractional Fokker–Planck–Kolmogorov equation …

We investigate the first-passage dynamics of symmetric and asymmetric Lévy flights in semi-
infinite and bounded intervals. By solving the space-fractional diffusion equation, we …

Preface: new trends in first-passage methods and applications in the life sciences and
engineering - IOPscience Skip to content IOP Science home Accessibility Help Search Journals …