General Fractional Derivatives: Theory, Methods and Applications provides knowledge of
the special functions with respect to another function, and the integro-differential operators …

Trapped dynamics widely appears in nature, eg, the motion of particles in viscous
cytoplasm. The famous continuous time random walk (CTRW) model with power law waiting …

Generalized (non-Markovian) diffusion equations with different memory kernels and
subordination schemes based on random time change in the Brownian diffusion process are …

Let us now consider the Fokker-Planck equation, which is a partial differential equation that
describes the time evolution of the PDF of the positions of particles, and was introduced in …

We analyze two models of subdiffusion with stochastic resetting. Each of them consists of
two parts: subdiffusion based on the continuous-time random walk scheme and independent …

Functionals of Brownian and non-Brownian motions have diverse applications and attracted
a lot of interest among scientists. This paper focuses on deriving the forward and backward …

In this work, we extend the fractional linear multistep methods in C. Lubich, SIAM J. Math.
Anal., 17 (1986), pp. 704--719 to the tempered fractional integral and derivative operators in …

We propose to characterize Lévy-distributed stochastic fluctuations through the
measurement of the average voltage drop across a current-biased Josephson junction. We …

It is amazing how wildly different-sized objects exist in the Universe! The red giant
Betelgeuse is so monstrously larger than our Sun that it could fill the orbit of Mars. But …

The book is devoted to the fundamental relationship between three objects: a stochastic
process, stochastic differential equations driven by that process and their associated Fokker …