Fractional Derivative Modeling in Mechanics and Engineering (PDF)
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¿This book highlights the theory of fractional calculus and its wide applications in mechanics and engineering. It describes research findings in using fractional calculus methods for modeling and numerical simulation of complex mechanical behavior. It covers the mathematical basis of fractional calculus, the relationship between fractal and fractional calculus, unconventional statistics and anomalous diffusion, typical applications of fractional calculus, and the numerical solution of the fractional differential equation. It also summaries the latest findings, such as variable order derivative, distributed order derivative, and its applications. The book avoids lengthy mathematical demonstrations and presents the theories related to the applications in an easily readable manner. This textbook intends for students, researchers, and professionals in applied physics, engineering mechanics, and applied mathematics. It is also of high reference value for those in environmental mechanics, geotechnical mechanics, biomechanics, and rheology.
Dr. Hongguang Sun works as a Professor in the College of Mechanics and Materials, Director of Sino-US Joint Research Center of Groundwater and Environmental Fluid Mechanics, and Deputy Director of the Institute of Hydraulics and Fluid Mechanics, Hohai University, China. His main research interests include simulation and remediation of groundwater and soil pollution, sediment transport, and high-precision computational mechanics.
Dr. Xicheng Li works as an Associate Professor at the School of Mathematical Sciences, the University of Jinan, China. He has been engaged in theoretical and applied research of fractional calculus, especially fractional derivative modeling of anomalous diffusion. He is also done much exploration in modeling heat and mass transfer and solving fractional differential equations.
- Autoren: Wen Chen , Hongguang Sun , Xicheng Li
- 2022, 1st ed. 2022, 370 Seiten, Englisch
- Verlag: Springer Nature Singapore
- ISBN-10: 9811688028
- ISBN-13: 9789811688027
- Erscheinungsdatum: 26.02.2022
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- Dateiformat: PDF
- Größe: 6 MB
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