[图书][B] Mittag-Leffler functions, related topics and applications

R Gorenflo, AA Kilbas, F Mainardi, SV Rogosin - 2020 - Springer
Mittag-Leffler Functions, Related Topics and Applications Page 1 Springer Monographs in
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 …

The Prabhakar or three parameter Mittag–Leffler function: Theory and application

R Garra, R Garrappa - … in Nonlinear Science and Numerical Simulation, 2018 - Elsevier
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 …

Computing the matrix Mittag-Leffler function with applications to fractional calculus

R Garrappa, M Popolizio - Journal of Scientific Computing, 2018 - Springer
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 …

Crossover from anomalous to normal diffusion: truncated power-law noise correlations and applications to dynamics in lipid bilayers

D Molina-Garcia, T Sandev, H Safdari… - New Journal of …, 2018 - iopscience.iop.org
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 …

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 …

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 …

Test particles in a gas: Markovian and non-Markovian Langevin dynamics

L Ferrari - Chemical Physics, 2019 - Elsevier
The description of the behaviour of test particles in a gas through Markovian and non-
Markovian Langevin dynamics is critically examined. In the Markovian case, in the Maxwell …

Inferring nonlinear fractional diffusion processes from single trajectories

JA Kassel, B Walter, H Kantz - New Journal of Physics, 2023 - iopscience.iop.org
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 …

Beyond monofractional kinetics

T Sandev, IM Sokolov, R Metzler, A Chechkin - Chaos, Solitons & Fractals, 2017 - Elsevier
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 …