Anomalous Advection-Dispersion Equations within General Fractional-Order Derivatives: Models and Series Solutions

In this paper, an anomalous advection-dispersion model involving a new general Liouville–Caputo fractional-order derivative is addressed for the first time. The series solutions of the general fractional advection-dispersion equations are obtained with the aid of the Laplace transform. The results a...

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Autores principales: Liang, Xin, Yang, Yu-Gui, Gao, Feng, Yang, Xiao-Jun, Xue, Yi
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512276/
https://www.ncbi.nlm.nih.gov/pubmed/33265165
http://dx.doi.org/10.3390/e20010078
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author Liang, Xin
Yang, Yu-Gui
Gao, Feng
Yang, Xiao-Jun
Xue, Yi
author_facet Liang, Xin
Yang, Yu-Gui
Gao, Feng
Yang, Xiao-Jun
Xue, Yi
author_sort Liang, Xin
collection PubMed
description In this paper, an anomalous advection-dispersion model involving a new general Liouville–Caputo fractional-order derivative is addressed for the first time. The series solutions of the general fractional advection-dispersion equations are obtained with the aid of the Laplace transform. The results are given to demonstrate the efficiency of the proposed formulations to describe the anomalous advection dispersion processes.
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spelling pubmed-75122762020-11-09 Anomalous Advection-Dispersion Equations within General Fractional-Order Derivatives: Models and Series Solutions Liang, Xin Yang, Yu-Gui Gao, Feng Yang, Xiao-Jun Xue, Yi Entropy (Basel) Article In this paper, an anomalous advection-dispersion model involving a new general Liouville–Caputo fractional-order derivative is addressed for the first time. The series solutions of the general fractional advection-dispersion equations are obtained with the aid of the Laplace transform. The results are given to demonstrate the efficiency of the proposed formulations to describe the anomalous advection dispersion processes. MDPI 2018-01-22 /pmc/articles/PMC7512276/ /pubmed/33265165 http://dx.doi.org/10.3390/e20010078 Text en © 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Liang, Xin
Yang, Yu-Gui
Gao, Feng
Yang, Xiao-Jun
Xue, Yi
Anomalous Advection-Dispersion Equations within General Fractional-Order Derivatives: Models and Series Solutions
title Anomalous Advection-Dispersion Equations within General Fractional-Order Derivatives: Models and Series Solutions
title_full Anomalous Advection-Dispersion Equations within General Fractional-Order Derivatives: Models and Series Solutions
title_fullStr Anomalous Advection-Dispersion Equations within General Fractional-Order Derivatives: Models and Series Solutions
title_full_unstemmed Anomalous Advection-Dispersion Equations within General Fractional-Order Derivatives: Models and Series Solutions
title_short Anomalous Advection-Dispersion Equations within General Fractional-Order Derivatives: Models and Series Solutions
title_sort anomalous advection-dispersion equations within general fractional-order derivatives: models and series solutions
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7512276/
https://www.ncbi.nlm.nih.gov/pubmed/33265165
http://dx.doi.org/10.3390/e20010078
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