General Fractional Derivatives with Applications in Viscoelasticity

Erscheinungsjahr 2020
ISBN: 978-0-12-817208-7
Verlag: Elsevier Inc

Buch, Englisch, 454 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 604 g

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.

Zielgruppe

<p>Upper-division undergraduates, graduate students, and researchers in mathematics, physics, chemistry, and engineering</p>

Autoren/Hrsg.

Yang, Xiao-Jun

Gao, Feng

Ju, Yang

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Elementare Analysis und Allgemeine Begriffe
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Optimierung

Inhaltsverzeichnis

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

Über Autor(innen)

Yang, Xiao-Jun
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.

Ju, Yang
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.

Gao, Feng
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.