General Fractional Derivatives with Applications in Viscoelasticity - 1st Edition - ISBN: 9780128172087

General Fractional Derivatives with Applications in Viscoelasticity

1st Edition

Authors: Xiao-Jun Yang Feng Gao Ju Yang
Paperback ISBN: 9780128172087
Imprint: Academic Press
Published Date: 1st August 2020
Page Count: 395
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Description

General Fractional Derivatives with Applications in Viscoelasticity presents a concise presentation of general fractional calculus. The book will help those in diverse science and engineering fields understand general fractional derivatives and their applications. Fractional calculus and its applications have gained considerable popularity and importance because of their applicability to many seemingly diverse and widespread fields in science and engineering. Many operations in physics and engineering can be defined accurately by using fractional derivatives to model complex phenomena. Viscoelasticity is chief among them as the fractional calculus approach to viscoelasticity has evolved as an empirical method of describing the properties of viscoelastic materials.

Key Features

  • Presents a comprehensive overview of the fields of fractional calculus and its applications in viscoelasticity
  • Provides help in handling power-law functions, while other books emphasize fractal problems
  • Introduces and explores questions about general fractional derivatives and its applications

Readership

Upper-division undergraduates, graduate students, and researchers in mathematics, physics, chemistry, and engineering

Table of Contents

  1. Introduction
    2. Special Functions
    3. Fractional Derivatives with Singular Kernels
    4. Fractional Derivatives with Nonsingular Kernels
    5. Variable-order Fractional Derivatives with Singular Kernels
    6. Variable-order Fractional Derivatives with Nonsingular Kernels
    7. General derivatives
    8. Applications of Fractional-order Viscoelastic Model

Details

No. of pages:
395
Language:
English
Copyright:
© Academic Press 2020
Published:
1st August 2020
Imprint:
Academic Press
Paperback ISBN:
9780128172087

About the Author

Xiao-Jun Yang

Dr. Xiao-Jun Yang is a full Professor at the State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology. He had published 4 books, 9 chapters, and over 160 journal articles. He is currently an editor of several scientific journals, such as Fractals-Complex Geometry, Patterns, and Scaling in Nature and Society, Mathematical Modelling and Analysis, Thermal Science, Journal of Vibroengineering, and Open Physics. In 2017 he was awarded as the Elsevier Most Cited Chinese Researchers in Mathematics (Place No. 1).

Affiliations and Expertise

China University of Mining and Technology, People’s Republic of China

Feng Gao

Feng Gao is an Associate Professor and Wallenberg Academy Fellow at Linköping University in Sweden. He received the ERC Starting Grant in 2016. He obtained his PhD from the University of Cambridge (UK) in 2011, followed by a Marie Curie postdoc fellowship at Linköping University. His group currently focuses on the research into solution-processed energy materials and devices, mainly based on organic semiconductors and metal halide perovskites.

Affiliations and Expertise

Linköping University, Linköping, Sweden

Ju Yang

Yang Ju is a full Professor at State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology. His current research interests include Fractals, Fractional Calculus and Applications, Continuous Mechanics, Rock Mechanics, and Viscoelasticity.

Affiliations and Expertise

China University of Mining and Technology, Beijin

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