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 …
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 …
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 …
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 …
We consider a generalized Langevin equation with regularized Prabhakar derivative operator. We analyze the mean square displacement, time-dependent diffusion coefficient …
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 …
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 …
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 …
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 …