Abstract The Mittag–Leffler function is universally acclaimed as the Queen function of
fractional calculus. The aim of this work is to survey the key results and applications …

This review article aims to stress and reunite some of the analytic formalism of the
anomalous diffusive processes that have succeeded in their description. Also, it has the …

We study a heterogeneous diffusion process (HDP) with position-dependent diffusion
coefficient and Poissonian stochastic resetting. We find exact results for the mean squared …

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 …

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

We show an application of a subdiffusion equation with Caputo fractional time derivative
with respect to another function g to describe subdiffusion in a medium having a structure …

We present a framework for systems in which diffusion-advection transport of a tracer
substance in a mobile zone is interrupted by trapping in an immobile zone. Our model …

The diffusion equation with a general convolutional derivative in time is considered on a
bounded domain, as one of the boundary conditions is nonlocal. We are concerned with the …

We introduce a compartment model with memory for the dynamics of epidemic spreading in
a constant population of individuals. Each individual is in one of the states S= susceptible, I …

The concept of subordination, originally introduced in the probability and stochastic
processes theories, has also appeared in analysis of evolution equations. So it is not …