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Fractional calculus with applications in mechanics : vibrations and diffusion processes

Author: Teodor M Atanacković; Stevan Pilipović; Bogoljub Stanković; Dušan Zorica
Publisher: London : ISTE, 2014.
Series: Mechanical engineering and solid mechanics series.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:

This book contains mathematical preliminaries in which basic definitions of fractional derivatives and spaces are presented. The central part of the book contains various applications in classical  Read more...

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Genre/Form: Electronic books
Additional Physical Format: Print version:
Atanacković, Teodor M., 1945-
Fractional calculus with applications in mechanics.
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Teodor M Atanacković; Stevan Pilipović; Bogoljub Stanković; Dušan Zorica
ISBN: 9781118577530 1118577531 1118577469 9781118577462 9781118577509 1118577507
OCLC Number: 871318313
Description: 1 online resource (xiii, 315 pages .).
Contents: Preface ix Part 1. Mathematical Preliminaries, Definitions and Properties of Fractional Integrals and Derivatives 1 Chapter 1. Mathematical Preliminaries 3 Chapter 2. Basic Definitions and Properties of Fractional Integrals and Derivatives 17 Part 2. Mechanical Systems 49 Chapter 3. Restrictions Following from the Thermodynamics for Fractional Derivative Models of a Viscoelastic Body 51 Chapter 4. Vibrations with Fractional Dissipation 83 Chapter 5. Lateral Vibrations and Stability of Viscoelastic Rods 123 Chapter 6. Fractional Diffusion-Wave Equations 185 Chapter 7. Fractional Heat Conduction Equations 257 Bibliography 289 Index 311
Series Title: Mechanical engineering and solid mechanics series.
Responsibility: Teodor M. Atanacković, Stevan Pilipović, Bogoljub Stanković, Dušan Zorica.
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The book will be useful to researchers and students looking for applications of fractional calculus in applied mechanics and engineering. (Zentralblatt MATH, 1 November 2014)

 
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