Fractional Dynamics
Applications of Fractional Calculus to Dynamics of Particles, Fields and Media
Authors: Tarasov, Vasily E.
Free Preview- Describes modern approaches and new results in fractional dynamics
- Both self-contained and can be used as a teaching resource in fractional calculus and theory of fractals
- Describes some modern applications of fractional calculus to complex physical systems and new results of recent years
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- About this book
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"Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media" presents applications of fractional calculus, integral and differential equations of non-integer orders in describing systems with long-time memory, non-local spatial and fractal properties. Mathematical models of fractal media and distributions, generalized dynamical systems and discrete maps, non-local statistical mechanics and kinetics, dynamics of open quantum systems, the hydrodynamics and electrodynamics of complex media with non-local properties and memory are considered. This book is intended to meet the needs of scientists and graduate students in physics, mechanics and applied mathematics who are interested in electrodynamics, statistical and condensed matter physics, quantum dynamics, complex media theories and kinetics, discrete maps and lattice models, and nonlinear dynamics and chaos. Dr. Vasily E. Tarasov is a Senior Research Associate at Nuclear Physics Institute of Moscow State University and an Associate Professor at Applied Mathematics and Physics Department of Moscow Aviation Institute.
- Reviews
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From the reviews:
“A scientific and reference guide for advanced researchers actively working in the field of chaos theory, wave dynamics, nonlinear dynamics and electromagnetic phenomena in media. It will be helpful for graduate students … who are looking for theoretical models to study complex dynamical systems under the influence of long-memory temporal and long-range spatial interactions. For those who are not engaged in the field but seeking new theoretical approaches and frameworks, the book will bring a variety of mathematical methods and tools involving fractional calculus.” (Nick Laskin, Mathematical Reviews, Issue 2012 f)
- Table of contents (21 chapters)
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Fractional Integration and Fractals
Pages 3-48
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Hydrodynamics of Fractal Media
Pages 49-71
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Fractal Rigid Body Dynamics
Pages 73-87
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Electrodynamics of Fractal Distributions of Charges and Fields
Pages 89-113
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Ginzburg-Landau Equation for Fractal Media
Pages 115-122
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Table of contents (21 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Fractional Dynamics
- Book Subtitle
- Applications of Fractional Calculus to Dynamics of Particles, Fields and Media
- Authors
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- Vasily E. Tarasov
- Series Title
- Nonlinear Physical Science
- Copyright
- 2010
- Publisher
- Springer-Verlag Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- eBook ISBN
- 978-3-642-14003-7
- DOI
- 10.1007/978-3-642-14003-7
- Series ISSN
- 1867-8440
- Edition Number
- 1
- Number of Pages
- XV, 505
- Additional Information
- Jointly published with Higher Education Press
- Topics
