Fractional and Fractal Derivative Models for Anomalous Sediment Transport

HongGuang Sun; Zhipeng Li; Shiqian Nie

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Fractional and Fractal Derivative Models for Anomalous Sediment Transport

HongGuang Sun , Zhipeng Li and Shiqian Nie

Language: English

Published/Copyright: 2025

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This book is in the series

Volume 13 | Fractional Calculus in Applied Sciences and Engineering

About this book

This book will introduce new physical approaches (include fractional derivative models, continuous time random walk methods and Hausdorff derivative models) to accurately characterize anomalous sediment transport in turbulent flow. This book will systematically investigate anomalous sediment transport inexperiments, physical analysis, stochastic model and field applications.

Covers the physical and mathematical aspects of anomalous diffusion in sediment transport
Reviews recent work in the literature
Includes experimental data and program codes

Author / Editor information

HongGuang Sun, Zhipeng Li, Shiqian Nie, Hohai University, China

Topics

Frontmatter Publicly Available Download PDF	I
Preface Publicly Available Download PDF	VII
Contents Publicly Available Download PDF	IX
1 Introduction Requires Authentication Unlicensed Licensed	1
2 Physical analysis of particle movement in turbulence Requires Authentication Unlicensed Licensed	9
3 Vertical distribution of suspended sediment under steady flow Requires Authentication Unlicensed Licensed	30
4 Fractal derivative models for suspended-sediment transport in steady flows Requires Authentication Unlicensed Licensed	42
5 Nonlocal bed-load transport model from regional to global scales Requires Authentication Unlicensed Licensed	58
6 Continuous time random walk model for anomalous diffusion in bed-load transport Requires Authentication Unlicensed Licensed	102
7 Fractal derivative models for bed-load transport Requires Authentication Unlicensed Licensed	134
8 Anomalous bed-load transport behaviors on fractal riverbed Requires Authentication Unlicensed Licensed	145
9 Perspectives Requires Authentication Unlicensed Licensed	164
Bibliography Requires Authentication Unlicensed Licensed	167
Index Requires Authentication Unlicensed Licensed	179

Publishing information

Pages and Images/Illustrations in book

eBook published on:

December 2, 2024

eBook ISBN:

9783111348834

Hardcover published on:

December 2, 2024

Hardcover ISBN:

9783111348766

Pages and Images/Illustrations in book

Front matter:

12

Main content:

182

Illustrations:

103

https://doi.org/10.1515/9783111348834

eBook ISBN: 9783111348834

Hardcover ISBN: 9783111348766

Keywords for this book

Sediment Transport; Anomalous Diffusion; Fractional Derivative; Random Walk Model

Audience(s) for this book

Researchers and advanced students in Engineering and Applied Mathematics

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Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com

Fractional and Fractal Derivative Models for Anomalous Sediment Transport

Overview

About this book

Author / Editor information

Topics

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