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Applications Of Fractional Calculus In Physics

2000-03-02 Science
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Release : 2000-03-02
Genre : Science
Kind : eBook
Book Rating : 200/5 ( reviews)

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Book Synopsis Applications Of Fractional Calculus In Physics by : Rudolf Hilfer

Download or read book Applications Of Fractional Calculus In Physics written by Rudolf Hilfer. This book was released on 2000-03-02. Available in PDF, EPUB and Kindle. Book excerpt: Fractional calculus is a collection of relatively little-known mathematical results concerning generalizations of differentiation and integration to noninteger orders. While these results have been accumulated over centuries in various branches of mathematics, they have until recently found little appreciation or application in physics and other mathematically oriented sciences. This situation is beginning to change, and there are now a growing number of research areas in physics which employ fractional calculus.This volume provides an introduction to fractional calculus for physicists, and collects easily accessible review articles surveying those areas of physics in which applications of fractional calculus have recently become prominent.

Advances in Fractional Calculus

2007-07-28 Technology & Engineering
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Release : 2007-07-28
Genre : Technology & Engineering
Kind : eBook
Book Rating : 424/5 ( reviews)

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Book Synopsis Advances in Fractional Calculus by : J. Sabatier

Download or read book Advances in Fractional Calculus written by J. Sabatier. This book was released on 2007-07-28. Available in PDF, EPUB and Kindle. Book excerpt: In the last two decades, fractional (or non integer) differentiation has played a very important role in various fields such as mechanics, electricity, chemistry, biology, economics, control theory and signal and image processing. For example, in the last three fields, some important considerations such as modelling, curve fitting, filtering, pattern recognition, edge detection, identification, stability, controllability, observability and robustness are now linked to long-range dependence phenomena. Similar progress has been made in other fields listed here. The scope of the book is thus to present the state of the art in the study of fractional systems and the application of fractional differentiation. As this volume covers recent applications of fractional calculus, it will be of interest to engineers, scientists, and applied mathematicians.

Fractional Dynamics

2011-01-04 Science
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Release : 2011-01-04
Genre : Science
Kind : eBook
Book Rating : 033/5 ( reviews)

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Book Synopsis Fractional Dynamics by : Vasily E. Tarasov

Download or read book Fractional Dynamics written by Vasily E. Tarasov. This book was released on 2011-01-04. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Fractional Calculus and Its Applications

2006-11-15 Mathematics
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Release : 2006-11-15
Genre : Mathematics
Kind : eBook
Book Rating : 759/5 ( reviews)

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Book Synopsis Fractional Calculus and Its Applications by : B. Ross

Download or read book Fractional Calculus and Its Applications written by B. Ross. This book was released on 2006-11-15. Available in PDF, EPUB and Kindle. Book excerpt:

Fractional Calculus and its Applications in Physics

2019-11-15
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Release : 2019-11-15
Genre :
Kind : eBook
Book Rating : 586/5 ( reviews)

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Book Synopsis Fractional Calculus and its Applications in Physics by : Dumitru Baleanu

Download or read book Fractional Calculus and its Applications in Physics written by Dumitru Baleanu. This book was released on 2019-11-15. Available in PDF, EPUB and Kindle. Book excerpt:

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