ISBN-10:
1848216793
ISBN-13:
9781848216792
Pub. Date:
01/28/2014
Publisher:
Wiley
Fractional Calculus with Applications in Mechanics: Wave Propagation, Impact and Variational Principles / Edition 1

Fractional Calculus with Applications in Mechanics: Wave Propagation, Impact and Variational Principles / Edition 1

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Product Details

ISBN-13: 9781848216792
Publisher: Wiley
Publication date: 01/28/2014
Series: ISTE Series
Pages: 406
Product dimensions: 6.30(w) x 9.30(h) x 1.20(d)

About the Author

Teodor Atanackovic is Full Professor at the University of Novi Sad, Serbia. He has authored or coauthored 8 books and more than 170 articles for journals and proceedings.

Stevan Pilipovic is Full Professor at the University of Novi Sad, Serbia. He has written more than 180 scientific papers in refereed international journals, and more than 35 contributions to special volumes and international conference proceedings.

Bogoljub Stankovic is a retired Professor at the University of Novi Sad, Serbia. His interests include classical theory of integral transforms and operational calculus, special functions, functional analysis, generalized functions and hyperfunctions. He has authored several books and more than 200 articles for journals and proceedings.

Duaan Zorica is Assistant Research Professor at the Mathematical Institute, Serbian Academy of Arts and Sciences in Belgrade, Serbia. He has authored or co-authored over 30 journal and conference papers. His current research interest is in various aspects of fractional calculus and its application to physical problems.

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Table of Contents

Preface xi

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. Waves in Viscoelastic Materials of Fractional-Order Type 51

Chapter 4. Forced Oscillations of a System: Viscoelastic Rod and Body 149

Chapter 5. Impact of Viscoelastic Body Against the Rigid Wall 243

Chapter 6. Variational Problems with Fractional Derivatives 279

Bibliography 379

Index 403

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