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 Yang Ju
Paperback ISBN: 9780128172087
Imprint: Academic Press
Published Date: 1st April 2020
Page Count: 395
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Description

General Fractional Derivatives with Applications in Viscoelasticity introduces the newly-established fractional-order calculus operators involving singular and non-singular kernels with applications to fractional-order viscoelastic models from the calculus operator viewpoint. 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 general fractional calculus approach to viscoelasticity has evolved as an empirical method of describing the properties of viscoelastic materials. General Fractional Derivatives with Applications in Viscoelasticity makes a concise presentation of general fractional calculus.

Key Features

  • Presents a comprehensive overview of the fractional derivatives and their applications in viscoelasticity
  • Provides help in handling the power-law functions
  • Introduces and explores the 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. Special Functions
2. Fractional Derivatives with Singular Kernels
3. Fractional Derivatives with Nonsingular Kernels
4. Variable-order Fractional Derivatives with Singular Kernels
5. Variable-order Fractional Derivatives with Nonsingular Kernels
6. General derivatives
7. Applications of Fractional-order Viscoelastic Model

Details

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

About the Author

Xiao-Jun Yang

Xiao-Jun Yang

Dr. Xiao-Jun Yang is a full professor of China University of Mining and Technology, China. He was awarded the 2019 Obada-Prize, the Young Scientist Prize (Turkey), and Springer's Distinguished Researcher Award. His scientific interests include: Viscoelasticity, Mathematical Physics, Fractional Calculus and Applications, Fractals, Analytic Number Theory, and Special Functions. He has published over 160 journal articles and 4 monographs, 1 edited volume, and 10 chapters. He is currently an editor of several scientific journals, such as Fractals, Applied Numerical Mathematics, Mathematical Methods in the Applied Sciences, Mathematical Modelling and Analysis, Journal of Thermal Stresses, and Thermal Science, and an associate editor of Journal of Thermal Analysis and Calorimetry, Alexandria Engineering Journal, and IEEE Access.

Affiliations and Expertise

China University of Mining and Technology, Xuzhou, China

Feng Gao

Feng Gao

Dr. Feng Gao is the associated dean and the leading professor of State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology. He is the recipient of the State Natural Science Award and the State Science and Technology Award. He has published over 280 scientific papers in the field of nonlinear mechanics, rock mechanics and underground engineering. He also serves as the PI or Co-PI of the National Key Research and Development Program of China, the National 973 Project, the funding of National Natural Science Foundation of China, the National Science and Technology Innovation Project, and the Research Innovation Group Project of the Ministry of Education.

Affiliations and Expertise

China University of Mining and Technology, Xuzhou, China

Yang Ju

Yang Ju

Dr. Yang Ju is Vice Director of State Key Laboratory of Coal Resources and Safe Mining, China University of Mining and Technology, Beijing, China. He is the Cheung Kong Distinguished Professor of Geomechanics in Mining, Petroleum and Geotechnical Engineering. His current research interests include Fractal Geometry and Applications in Mining, Petroleum and Geotechnical Engineering, Transparentization and Visualization Methods for Discontinuous Structures and Stress Field of Rock Masses, and Transparentization and Prediction Methods for Rock Disasters.

Affiliations and Expertise

China University of Mining and Technology, Beijing, China

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