[BOOK][B] Mittag-Leffler functions, related topics and applications
Mittag-Leffler Functions, Related Topics and Applications Page 1 Springer Monographs in
Mathematics Rudolf Gorenflo Anatoly A. Kilbas Francesco Mainardi Sergei Rogosin Mittag-Leffler …
Mathematics Rudolf Gorenflo Anatoly A. Kilbas Francesco Mainardi Sergei Rogosin Mittag-Leffler …
Analytic approaches of the anomalous diffusion: A review
MAF Dos Santos - Chaos, Solitons & Fractals, 2019 - Elsevier
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 …
anomalous diffusive processes that have succeeded in their description. Also, it has the …
The Prabhakar or three parameter Mittag–Leffler function: Theory and application
The Prabhakar function (namely, a three parameter Mittag–Leffler function) is investigated.
This function plays a fundamental role in the description of the anomalous dielectric …
This function plays a fundamental role in the description of the anomalous dielectric …
Computing the matrix Mittag-Leffler function with applications to fractional calculus
The computation of the Mittag-Leffler (ML) function with matrix arguments, and some
applications in fractional calculus, are discussed. In general the evaluation of a scalar …
applications in fractional calculus, are discussed. In general the evaluation of a scalar …
Crossover from anomalous to normal diffusion: truncated power-law noise correlations and applications to dynamics in lipid bilayers
The emerging diffusive dynamics in many complex systems show a characteristic crossover
behaviour from anomalous to normal diffusion which is otherwise fitted by two independent …
behaviour from anomalous to normal diffusion which is otherwise fitted by two independent …
Fractional Prabhakar derivative in diffusion equation with non-static stochastic resetting
MAF dos Santos - Physics, 2019 - mdpi.com
In this work, we investigate a series of mathematical aspects for the fractional diffusion
equation with stochastic resetting. The stochastic resetting process in Evans–Majumdar …
equation with stochastic resetting. The stochastic resetting process in Evans–Majumdar …
Generalized Langevin equation and the Prabhakar derivative
T Sandev - Mathematics, 2017 - mdpi.com
We consider a generalized Langevin equation with regularized Prabhakar derivative
operator. We analyze the mean square displacement, time-dependent diffusion coefficient …
operator. We analyze the mean square displacement, time-dependent diffusion coefficient …
Inferring nonlinear fractional diffusion processes from single trajectories
We present a method to infer the arbitrary space-dependent drift and diffusion of a nonlinear
stochastic model driven by multiplicative fractional Gaussian noise from a single trajectory …
stochastic model driven by multiplicative fractional Gaussian noise from a single trajectory …
Beyond monofractional kinetics
We discuss generalized integro-differential diffusion equations whose integral kernels are
not of a simple power law form, and thus these equations themselves do not belong to the …
not of a simple power law form, and thus these equations themselves do not belong to the …
Generalized diffusion-wave equation with memory kernel
We study generalized diffusion-wave equation in which the second order time derivative is
replaced by an integro-differential operator. It yields time fractional and distributed order time …
replaced by an integro-differential operator. It yields time fractional and distributed order time …