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: 1973

"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: 6428

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.

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: 710

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 Nonlinear Analysis via the Concept of Measure of Noncompactness

Author: Józef Banaś,Mohamed Jleli,Mohammad Mursaleen,Bessem Samet,Calogero Vetro

Publisher: Springer

ISBN: 9811037221

Category: Mathematics

Page: 487

View: 1959

This book offers a comprehensive treatment of the theory of measures of noncompactness. It discusses various applications of the theory of measures of noncompactness, in particular, by addressing the results and methods of fixed-point theory. The concept of a measure of noncompactness is very useful for the mathematical community working in nonlinear analysis. Both these theories are especially useful in investigations connected with differential equations, integral equations, functional integral equations and optimization theory. Thus, one of the book’s central goals is to collect and present sufficient conditions for the solvability of such equations. The results are established in miscellaneous function spaces, and particular attention is paid to fractional calculus.

Local Fractional Integral Transforms and Their Applications

Author: Xiao Jun Yang,Dumitru Baleanu,H. M. Srivastava

Publisher: Academic Press

ISBN: 0128040327

Category: Mathematics

Page: 262

View: 7663

Local Fractional Integral Transforms and Their Applications provides information on how local fractional calculus has been successfully applied to describe the numerous widespread real-world phenomena in the fields of physical sciences and engineering sciences that involve non-differentiable behaviors. The methods of integral transforms via local fractional calculus have been used to solve various local fractional ordinary and local fractional partial differential equations and also to figure out the presence of the fractal phenomenon. The book presents the basics of the local fractional derivative operators and investigates some new results in the area of local integral transforms. Provides applications of local fractional Fourier Series Discusses definitions for local fractional Laplace transforms Explains local fractional Laplace transforms coupled with analytical methods

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: 954

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: 5962

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.

BERNHARD RIEMANN'S GESAMMELTE MATHEMATISCHE WERKE UND WISSENSCHAFTLICHER NACHLASS

Author: N.A

Publisher: N.A

ISBN: N.A

Category:

Page: N.A

View: 5689

Leibnizens mathematische Schriften

Author: Gottfried Wilhelm Leibniz

Publisher: N.A

ISBN: N.A

Category:

Page: 994

View: 6189

Canadian Journal of Physics

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Physics

Page: N.A

View: 8380

Physics, Uspekhi

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Physics

Page: N.A

View: 1042

Mathematica for Theoretical Physics

Electrodynamics, Quantum Mechanics, General Relativity, and Fractals

Author: Gerd Baumann

Publisher: Springer Science & Business Media

ISBN: 9780387251134

Category: Science

Page: 400

View: 5206

Class-tested textbook that shows readers how to solve physical problems and deal with their underlying theoretical concepts while using Mathematica® to derive numeric and symbolic solutions. Delivers dozens of fully interactive examples for learning and implementation, constants and formulae can readily be altered and adapted for the user’s purposes. New edition offers enlarged two-volume format suitable to courses in mechanics and electrodynamics, while offering dozens of new examples and a more rewarding interactive learning environment.

Science Abstracts

Physics abstracts

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Physics

Page: N.A

View: 4391

Mathematical Reviews

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 6692

Journal of the Optical Society of America

Optics, image science, and vision

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Optics

Page: N.A

View: 2422

Advanced Research on Computer Science and Information Engineering

International Conference, CSIE 2011, Zhengzhou, China, May 21-22, 2011. Proceedings

Author: Gang Shen,Xiong Huang

Publisher: Springer

ISBN: 3642214118

Category: Computers

Page: 510

View: 8002

This two-volume set (CCIS 152 and CCIS 153) constitutes the refereed proceedings of the International Conference on Computer Science and Information Engineering, CSIE 2011, held in Zhengzhou, China, in May 2011. The 159 revised full papers presented in both volumes were carefully reviewed and selected from a large number of submissions. The papers present original research results that are broadly relevant to the theory and applications of Computer Science and Information Engineering and address a wide variety of topics such as algorithms, automation, artificial intelligence, bioinformatics, computer networks, computer security, computer vision, modeling and simulation, databases, data mining, e-learning, e-commerce, e-business, image processing, knowledge management, multimedia, mobile computing, natural computing, open and innovative education, pattern recognition, parallel computing, robotics, wireless networks, and Web applications.

Applied Mechanics Reviews

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mechanics, Applied

Page: N.A

View: 4536

Physics Briefs

Physikalische Berichte

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Physics

Page: N.A

View: 6859

Interfacial Electroviscoelasticity and Electrophoresis

Author: Jyh-Ping Hsu,Aleksandar M. Spasic

Publisher: CRC Press

ISBN: 9781439803530

Category: Science

Page: 194

View: 1280

In the 20 years since the pilot plant experiments used to develop the concept of electroviscoelasticity, inroads have been made in the understanding of its many related processes. Interfacial Electroviscoelasticity and Electrophoresis meets a massive scientific challenge by presenting deeper research and developments in the basic and applied science and engineering of finely dispersed particles and related systems. Introducing more profound and in-depth treatises related to the liquid-liquid finely dispersed systems (i.e., emulsions and double emulsions), this book describes a new theory developed through the authors’ work. These findings are likely to impact other research and applications in a wide array of other fields, considering that the modeling of liquid-liquid interfaces is key to numerous chemical manufacturing processes, including those used for emulsions, suspensions, nanopowders, foams, biocolloids, and plasmas. The authors cover phenomena at the micro, nano, and atto-scales, and their techniques, theory, and supporting data will be of particular interest to nanoscientists, especially with regard to the breaking of emulsions. This groundbreaking book: Takes an interdisciplinary approach to elucidate the momentum transfer and electron transfer phenomena Covers less classical chemical engineering insight and modern molecular and atomic engineering Reviews basic theory of electrokinetics, using the electrophoresis of rigid particles as an example Built around the central themes of hydrodynamic, electrodynamic, and thermodynamic instabilities that occur at interfaces, this book addresses recently developed concepts in the physics, chemistry, and rheological properties of those well-studied interfaces of rigid and deformable particles in homo- and hetero-aggregate dispersed systems. The book also introduces the key phenomenon of electrophoresis, since it is widely adopted either as an analytical tool to characterize the surface properties of colloid-sized particles or in the separation and purification process of both laboratory and industrial scales. The applications and implications of the material presented in the book represent a major contribution to the advanced fundamental, applied, and engineering research of interfacial and colloidal phenomena.

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