Retarding Sub- and Accelerating Super-Diffusion Governed by Distributed Order Fractional Diffusion Equations

Autor: Chechkin, A. V., Gorenflo, R., Sokolov, I. M.

We propose diffusion-like equations with time and space fractional derivatives of the distributed order for the kinetic description of anomalous diffusion and relaxation phenomena, whose diffusion exponent varies with time and which, correspondingly,

Externí odkaz: http://arxiv.org/abs/cond-mat/0202213

Characteristics of Central Sleep Apnea in Hawai’i Ethnic Groups

Autor: Ho, R., Kim, K.M., Fan, A., Gan, A., Nakamoto, S., Tong, M., Vajjala, S., Anderson, N., Viereck, J., Gorenflo, R., Morden, F., Liow, K.

Publikováno v: In Sleep Medicine December 2022 100 Supplement 1:S170-S170

Discrete Models of Time-Fractional Diffusion in a Potential Well

Autor: Gorenflo, R., Abdel-Rehim, E.

Mathematics Subject Classification: 26A33, 45K05, 60J60, 60G50, 65N06, 80-99.
By generalization of Ehrenfest’s urn model, we obtain discrete approximations to spatially one-dimensional time-fractional diffusion processes with drift towards the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::24dca1d4be3846ce9031482651f70936
https://hdl.handle.net/10525/1253

Time fractional diffusion: a discrete random walk approach

Autor: Gorenflo, R, Mainardi, F, Moretti, D, Paradisi, P

Publikováno v: Nonlinear dynamics 29 (2002): 129–143.
info:cnr-pdr/source/autori:Gorenflo R, Mainardi F, Moretti D, Paradisi P/titolo:Time fractional diffusion: a discrete random walk approach/doi:/rivista:Nonlinear dynamics/anno:2002/pagina_da:129/pagina_a:143/intervallo_pagine:129–143/volume:29

The time fractional diffusion equation is obtained from the standard diffusion equation by replacing the first-order time derivative with a fractional derivative of order β ∈ (0, 1). From a physical view-point this generalized diffusion equation i

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::6fd03871f641573208a6e89b64b87f81
http://www.cnr.it/prodotto/i/44483

On the Autoconvolution Equation and Total Variation Constraints

Autor: Fleischer, G., Gorenflo, R., Hofmann, B.

This paper is concerned with the numerical analysis of the autoconvolution equation $x*x=y$ restricted to the interval [0,1]. We present a discrete constrained least squares approach and prove its convergence in $L^p(0,1),1

Externí odkaz: https://monarch.qucosa.de/id/qucosa%3A17495
https://monarch.qucosa.de/api/qucosa%3A17495/attachment/ATT-0/
https://monarch.qucosa.de/api/qucosa%3A17495/attachment/ATT-1/
https://monarch.qucosa.de/api/qucosa%3A17495/attachment/ATT-2/
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