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book: Fractional and Fractal Derivative Models for Anomalous Sediment Transport
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Fractional and Fractal Derivative Models for Anomalous Sediment Transport

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Language: English
Published/Copyright: 2025
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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

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    Frontmatter

    I
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    Preface

    VII
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  • Publicly Available

    Contents

    IX
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    1 Introduction

    1
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    2 Physical analysis of particle movement in turbulence

    9
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    3 Vertical distribution of suspended sediment under steady flow

    30
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    4 Fractal derivative models for suspended-sediment transport in steady flows

    42
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    5 Nonlocal bed-load transport model from regional to global scales

    58
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    6 Continuous time random walk model for anomalous diffusion in bed-load transport

    102
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    7 Fractal derivative models for bed-load transport

    134
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    8 Anomalous bed-load transport behaviors on fractal riverbed

    145
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    9 Perspectives

    164
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    Bibliography

    167
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    Index

    179
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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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