Mittag-Leffler Functions, Related Topics and Applications Page 1 Springer Monographs in
Mathematics Rudolf Gorenflo Anatoly A. Kilbas Francesco Mainardi Sergei Rogosin Mittag-Leffler …

Systems of fractional-order differential equations present stability properties which differ in a
substantial way from those of systems of integer order. In this paper, a detailed analysis of …

In recent years, many papers discuss the theory and applications of new fractional-order
derivatives that are constructed by replacing the singular kernel of the Caputo or Riemann …

This work is devoted to the time-fractional differential equations with the regularized
Prabhakar derivative and their analytical solutions. We generalize the invariant subspace …

Several approaches to the formulation of a fractional theory of calculus of “variable order”
have appeared in the literature over the years. Unfortunately, most of these proposals lack a …

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

The notion of general classes of operators has recently been proposed as an approach to
fractional calculus that respects pure and applied viewpoints equally. Here we demonstrate …

Logistic and Gompertz growth equations are the usual choice to model sustainable growth
and immoderate growth causing depletion of resources, respectively. Observing that the …

Abstract The multinomial Mittag-Leffler function plays a crucial role in the study of multi-term
time-fractional evolution equations. In this work we establish basic properties of the …

We define an analogue of the classical Mittag-Leffler function which is applied to two
variables, and establish its basic properties. Using a corresponding single-variable function …