General Fractional Derivatives with Applications in Viscoelasticity

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Xiao-Jun Yang (Full Professor, China University of Mining and Technology, Xuzhou, China) Feng Gao (China University of Mining and Technology, Xuzhou, China)

General Fractional Derivatives with Applications in Viscoelasticity

Xiao-Jun Yang (Full Professor, China University of Mining and Technology, Xuzhou, China), Feng Gao (China University of Mining and Technology, Xuzhou, China), Yang Ju (China University of Mining and Technology, Beijing, China)

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English

Academic Press Inc
07 April 2020

Calculus; Optimisation

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.

By: Xiao-Jun Yang (Full Professor China University of Mining and Technology Xuzhou China), Feng Gao (China University of Mining and Technology, Xuzhou, China), Yang Ju (China University of Mining and Technology, Beijing, China)
Imprint: Academic Press Inc
Country of Publication: United States
Dimensions: Height: 229mm, Width: 151mm,
Weight: 700g
ISBN: 9780128172087
ISBN 10: 0128172088
Pages: 454
Publication Date: 07 April 2020
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

1. Special Functions2. Fractional Derivatives with Singular Kernels3. Fractional Derivatives with Nonsingular Kernels4. Variable-order Fractional Derivatives with Singular Kernels5. Variable-order Fractional Derivatives with Nonsingular Kernels6. General derivatives7. Applications of Fractional-order Viscoelastic Models

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. 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. 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.

Reviews for General Fractional Derivatives with Applications in Viscoelasticity

The book can be useful as a consulting text for definitions and references, which has a relative value in this internet-based open-access era. The naive reader will have to seek mathematical or physically based motivation elsewhere. --zbMATH Open