
Fractional Derivatives for Physicists and Engineers
Volume II Applications
Series: Nonlinear Physical Science;
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Product details:
- Publisher Springer
- Date of Publication 14 June 2025
- Number of Volumes 1 pieces, Book
- ISBN 9789819605811
- Binding Hardback
- No. of pages444 pages
- Size 235x155 mm
- Language English
- Illustrations 50 Illustrations, black & white; 9 Illustrations, color 700
Categories
Short description:
This book brings new perspectives in front of the reader dealing with turbulence and semiconductors, plasma and thermodynamics, mechanics and quantum optics, nanophysics and astrophysics. The first derivative of a particle coordinate means its velocity, the second means its acceleration, but what does a fractional order derivative mean? Where does it come from, how does it work, where does it lead to? The two-volume book written on high didactic level answers these questions. The first volume (ISBN: 978-3-642-33910-3) contains a clear introduction into such a modern branch of analysis as fractional calculus. This second volume develops a wide panorama of applications of the fractional calculus to various physical problems.
This book is addressed to students, engineers and physicists, specialists in theory of probability and statistics, in mathematical modeling and numerical simulations, to everybody who doesn't wish to stay apart from the new mathematical methods becoming more and more popular.
MoreLong description:
This book brings new perspectives in front of the reader dealing with turbulence and semiconductors, plasma and thermodynamics, mechanics and quantum optics, nanophysics and astrophysics. The first derivative of a particle coordinate means its velocity, the second means its acceleration, but what does a fractional order derivative mean? Where does it come from, how does it work, where does it lead to? The two-volume book written on high didactic level answers these questions. The first volume (ISBN: 978-3-642-33910-3) contains a clear introduction into such a modern branch of analysis as fractional calculus. This second volume develops a wide panorama of applications of the fractional calculus to various physical problems.
This book is addressed to students, engineers and physicists, specialists in theory of probability and statistics, in mathematical modeling and numerical simulations, to everybody who doesn't wish to stay apart from the new mathematical methods becoming more and more popular.
MoreTable of Contents:
Applications of Fractional derivatives.- Fractional Derivatives.- Stable statistics.- Fractional differential equations.- Continuum Mechanics.- Porous Media.- Electrodynamics and thermodynamics.- Quantum Mechanics.- Plasma Dynamics.- Cosmic Rays.- Self-similar stochasticity.
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