Search Results: fractional-dynamics-applications-of-fractional-calculus-to-dynamics-of-particles-fields-and-media-nonlinear-physical-science

Fractional Dynamics

Applications of Fractional Calculus to Dynamics of Particles, Fields and Media

Author: Vasily E. Tarasov

Publisher: Springer Science & Business Media

ISBN: 3642140033

Category: Science

Page: 505

View: 756

"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 with Applications in Mechanics

Vibrations and Diffusion Processes

Author: Teodor M. Atanackovic,Stevan Pilipovic,Bogoljub Stankovic,Dusan Zorica

Publisher: John Wiley & Sons

ISBN: 1118577469

Category: Mathematics

Page: 336

View: 3004

This book contains mathematical preliminaries in which basicdefinitions of fractional derivatives and spaces are presented. Thecentral part of the book contains various applications in classicalmechanics including fields such as: viscoelasticity, heatconduction, wave propagation and variational Hamilton–typeprinciples. Mathematical rigor will be observed in theapplications. The authors provide some problems formulated in theclassical setting and some in the distributional setting. Thesolutions to these problems are presented in analytical form andthese solutions are then analyzed numerically. Theorems on theexistence of solutions will be presented for all examplesdiscussed. In using various constitutive equations the restrictionsfollowing from the second law of thermodynamics will beimplemented. Finally, the physical implications of obtainedsolutions will be discussed in detail.

Basic Theory

Author: Anatoly Kochubei,Yuri Luchko

Publisher: Walter de Gruyter GmbH & Co KG

ISBN: 3110570637

Category: Mathematics

Page: 489

View: 7546

This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This first volume collects authoritative chapters covering the mathematical theory of fractional calculus, including fractional-order operators, integral transforms and equations, special functions, calculus of variations, and probabilistic and other aspects.

Applications in Physics

Author: Vasily E. Tarasov

Publisher: Walter de Gruyter GmbH & Co KG

ISBN: 3110571005

Category: Mathematics

Page: 314

View: 4530

This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This fourth volume collects authoritative chapters covering several applications of fractional calculus in physics, including classical and continuum mechanics.

Advances in Harmonic Analysis and Operator Theory

The Stefan Samko Anniversary Volume

Author: Alexandre Almeida,Luís Castro,Frank-Olme Speck

Publisher: Springer Science & Business Media

ISBN: 3034805160

Category: Mathematics

Page: 392

View: 1678

This volume is dedicated to Professor Stefan Samko on the occasion of his seventieth birthday. The contributions display the range of his scientific interests in harmonic analysis and operator theory. Particular attention is paid to fractional integrals and derivatives, singular, hypersingular and potential operators in variable exponent spaces, pseudodifferential operators in various modern function and distribution spaces, as well as related applications, to mention but a few. Most contributions were firstly presented in two conferences at Lisbon and Aveiro, Portugal, in June‒July 2011.

Advances in Fractional Calculus

Theoretical Developments and Applications in Physics and Engineering

Author: J. Sabatier,O. P. Agrawal,J. A. Tenreiro Machado

Publisher: Springer Science & Business Media

ISBN: 1402060424

Category: Mathematics

Page: 552

View: 8622

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.

Anomalous Transport

Foundations and Applications

Author: Rainer Klages,Günter Radons,Igor M. Sokolov

Publisher: John Wiley & Sons

ISBN: 9783527407224

Category: Science

Page: 584

View: 8866

This multi-author reference work provides a unique introduction to the currently emerging, highly interdisciplinary field of those transport processes that cannot be described by using standard methods of statistical mechanics. It comprehensively summarizes topics ranging from mathematical foundations of anomalous dynamics to the most recent experiments in this field. In so doing, this monograph extracts and emphasizes common principles and methods from many different disciplines while providing up-to-date coverage of this new field of research, considering such diverse applications as plasma physics, glassy material, cell science, and socio-economic aspects. The book will be of interest to both theorists and experimentalists in nonlinear dynamics, statistical physics and stochastic processes. It also forms an ideal starting point for graduate students moving into this area. 18 chapters written by internationally recognized experts in this field provide in-depth introductions to the following fundamental aspects of anomalous transport: * Fractional calculus and stochastic theory * Dynamical systems and deterministic transport * Anomalous transport in disordered systems * Applications to complex systems and experimental results.

Canadian Journal of Physics

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Physics

Page: N.A

View: 9856

Physics, Uspekhi

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Physics

Page: N.A

View: 9612

Science Abstracts

Physics abstracts

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Physics

Page: N.A

View: 4574

BERNHARD RIEMANN'S GESAMMELTE MATHEMATISCHE WERKE UND WISSENSCHAFTLICHER NACHLASS

Author: N.A

Publisher: N.A

ISBN: N.A

Category:

Page: N.A

View: 8028

Mathematical Reviews

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 5702

Physics Briefs

Physikalische Berichte

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Physics

Page: N.A

View: 4241

Applied Mechanics Reviews

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mechanics, Applied

Page: N.A

View: 2572

Leibnizens mathematische Schriften

Author: Gottfried Wilhelm Leibniz

Publisher: N.A

ISBN: N.A

Category:

Page: N.A

View: 1881

Current Research in Britain (Crib)

Author: Cartermill International Limited

Publisher: N.A

ISBN: 9781860672064

Category:

Page: N.A

View: 1577

Physics Abstracts

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Physics

Page: N.A

View: 6150

Scientific and Technical Aerospace Reports

A Semi-monthly Abstract Journal with Indexes

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Aeronautics

Page: N.A

View: 1807

Analysis. 3. Integralrechnung im Rn [R hoch n] mit Anwendungen

Author: Otto Forster

Publisher: Springer DE

ISBN: 9783528272524

Category: Analiza - integralski račun v #

Page: 285

View: 7553

Reviews in Global Analysis, 1980-86 as Printed in Mathematical Reviews

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Global analysis (Mathematics)

Page: 808

View: 7555

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