A Generalized Diffusion Equation: Solutions and Anomalous Diffusion-Reference-Cited by-同舟云学术

A Generalized Diffusion Equation: Solutions and Anomalous Diffusion

Published:2023-01-17 Issue:2 Volume:8 Page:34
ISSN:2311-5521
Container-title:Fluids
language:en
Short-container-title:Fluids

Author:

Lenzi Ervin K.¹²^ORCID,Somer Aloisi¹^ORCID,Zola Rafael S.³^ORCID,da Silva Luciano R.²⁴^ORCID,Lenzi Marcelo K.⁵^ORCID

Affiliation:

1. Departamento de Física, Universidade Estadual de Ponta Grossa, Av. Gen. Carlos Cavalcanti 4748, Ponta Grossa 84030-900, PR, Brazil

2. National Institute of Science and Technology for Complex Systems, Centro Brasileiro de Pesquisas Físicas, Rio de Janeiro 22290-180, RJ, Brazil

3. Departamento de Física, Universidade Tecnológica Federal do Paraná, R. Marcílio Dias, 635, Apucarana 86812-460, PR, Brazil

4. Departamento de Física, Universidade Federal do Rio Grande do Norte, Natal 59078-900, RN, Brazil

5. Departamento de Engenharia Química, Universidade Federal do Paraná, Curitiba 80060-000, PR, Brazil

Abstract

We investigate the solutions of a generalized diffusion-like equation by considering a spatial and time fractional derivative and the presence of non-local terms, which can be related to reaction or adsorption–desorption processes. We use the Green function approach to obtain solutions and evaluate the spreading of the system to show a rich class of behaviors. We also connect the results obtained with the anomalous diffusion processes.

Funder

CNPq

National Institute of Science and Technology of Complex Systems-INCT-SC

National Institute of Science and Technology of Complex Fluids-INCT-FCx

LAMAP-UTFPR

Publisher

MDPI AG

Subject

Fluid Flow and Transfer Processes,Mechanical Engineering,Condensed Matter Physics

Link

https://www.mdpi.com/2311-5521/8/2/34/pdf

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