This article is a review of problems and difficulties arising in the construction of fractional-
dynamic analogs of standard models by using fractional calculus. These fractional …

Countries globally trade with tons of waste materials every year, some of which are highly
hazardous. This trade admits a network representation of the world-wide waste web, with …

We propose a model for the transmission of perturbations across the amino acids of a
protein represented as an interaction network. The dynamics consists of a Susceptible …

In this paper, we apply some special functions (Mittag-Leffler, Gauss Hypergeometric,
Bessel-Maitland and Fox H functions) to investigate a class of matrix-valued random control …

A general approach to the construction of non-Markovian quantum theory is proposed. Non-
Markovian equations for quantum observables and states are suggested by using general …

In this paper, non-Markovian generalization of master equation for open quantum system is
proposed. Non-Markovian dynamics of two-level quantum system with memory and …

In recent years, a new branch of the econophysics has appeared and began to actively
develop, which can be called fractional econophysics. We can define fractional …

Many situations, as for example within the context of Fractional Calculus theory, require
computing the Mittag–Leffler (ML) function with matrix arguments. In this paper, we collect …

In this paper, we proposed the exactly solvable model of non-Markovian dynamics of open
quantum systems. This model describes open quantum systems with memory and periodic …

Abstract The two-parametric Mittag–Leffler function (MLF), E_ α, β E α, β, is fundamental to
the study and simulation of fractional differential and integral equations. However, these …