Last edited by Faelkree
Friday, April 17, 2020 | History

2 edition of Fractional dynamics found in the catalog.

Fractional dynamics

J. Klafter

Fractional dynamics

recent advances

by J. Klafter

  • 89 Want to read
  • 11 Currently reading

Published by World Scientific in New Jersey .
Written in English

    Subjects:
  • Fractional calculus,
  • Diffusion,
  • Dynamics,
  • Mathematical models

  • Edition Notes

    Includes bibliographical references and index.

    Statementedited by Joseph Klafter, S.C. Lim & Ralf Metzler
    Classifications
    LC ClassificationsQC20.7.F73 F727 2011
    The Physical Object
    Paginationp. cm.
    ID Numbers
    Open LibraryOL24896131M
    ISBN 109814340588
    ISBN 109789814340588
    LC Control Number2011021725

    adshelp[at] The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A. springer, Fractional Dynamics and Control provides a comprehensive overview of recent advances in the areas of nonlinear dynamics, vibration and control with analytical, numerical, and experimental results. This book provides an overview of recent discoveries in fractional control, delves into fractional variational principles and differential equations, and applies advanced techniques in.


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Fractional dynamics by J. Klafter Download PDF EPUB FB2

"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 : Springer-Verlag Berlin Heidelberg.

Fractional dynamic equations have assumed a central rôle in the modeling of anomalous relaxation and diffusion processes. Starting from their derivation from continuous time random walk processes, we here provide a concise account of the physics of fractional dynamic equations as well as their applications to nonequilibrium processes in complex systems.

Fractional Dynamics and Control provides a comprehensive overview of recent advances in the areas of nonlinear dynamics, vibration and control with analytical, numerical, and experimental results. This book provides an overview of recent discoveries in fractional control, delves into fractional variational principles and differential equations, and applies advanced techniques in fractional Manufacturer: Springer.

This book presents analytical and numerical solutions of elementary turbulent flow problems based on authors' research work. Considerations involve anomalous diffusion, fractal geometry and fractional dynamics. It is intended for physicists and mathematicians.

Fractional Dynamics by Carlo Cattani, et al. Publisher: De Gruyter Open Ltd ISBN/ASIN: Number of pages: Description: The book is devoted to recent developments in the theory of fractional calculus and its applications. In the fields of dynamical systems and control theory, a fractional-order system is a dynamical system that can be modeled by a fractional differential equation containing derivatives of non-integer order.

Such systems are said to have fractional tives and integrals of fractional orders are used to describe objects that can be characterized by power-law nonlocality, power-law.

Fractional Dynamics and Control provides a comprehensive overview of recent advances in the areas of nonlinear dynamics, vibration and control with analytical, numerical, and experimental results.

This book provides an overview of recent discoveries in fractional control, delves into fractional variational principles and differential equations, and applies advanced techniques in fractional.

"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 by: "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.

This book is intended to meet the needs of. Fractional Dynamics and Control supplies a complete overview of current advances within the areas of nonlinear dynamics, vibration and control with analytical, eBook PHP.

This book offers an summary of current discoveries in fractional control, delves into fractional variational rules and differential equations, and applies superior methods. The book is devoted to recent developments in the theory of fractional calculus and its applications.

Particular attention is paid to the applicability of this currently popular research field in. The theory of integration and differentiation of non-integer order has a long history from 30 Septemberwhen the derivatives of order α = 1/2 was described by Leibniz in a letter to L Author: Vasily E.

Tarasov. The fractional-order elements This book is ideal for researchers working in the modeling and applications of both continuous-time and discrete-time dynamics and chaotic systems. Researchers from academia and industry who are working in research areas such as control engineering, electrical engineering, mechanical engineering, computer.

Fractional Dynamics and Control provides a comprehensive overview of recent advances in the areas of nonlinear dynamics, vibration and control with analytical, numerical, and experimental results.

This book provides an overview of recent discoveries in fractional control, delves into fractional variational principles and differential equations, and applies advanced techniques in fractional Format: Paperback.

ISBN: OCLC Number: Description: xiv, pages: illustrations ; 24 cm: Contents: Anomalous diffusion and fractional transport equations / R. Metzler and J.-H. Jeon --Stochastic diffusion and stable noise-induced phenomena / B. Dybiec and E. Gudowska-Nowak --Characteristic times of anomalous diffusion in a potential / W.T.

Get this from a library. Fractional Dynamics. [Carlo Cattani; Hari M Srivastava; Xiao-Jun Yang] -- The book is devoted to recent developments in the theory of fractional calculus and its applications.

Particular attention is paid to the applicability of this currently popular research field in. This volume provides the latest developments in the field of fractional dynamics, which covers fractional (anomalous) transport phenomena, fractional statistical mechanics, fractional quantum mechanics and fractional quantum field theory.

The contributors are selected based on their active and important contributions to their respective topics. Fractional Dynamics and Control provides a comprehensive overview of recent advances in the areas of nonlinear dynamics, vibration and control with analytical, numerical, and experimental results.

This book provides an overview of recent discoveries in fractional control, delves into fractional variational principles and differential equations, and applies advanced techniques in fractional Brand: Springer New York.

fractional dynamics, fractional calculus, nonlinear analysis Aims and Scope The book is devoted to recent developments in the theory of fractional calculus and its applications.

Fractional calculus is a branch of mathematical analysis that studies the several different possibilities of defining real number powers or complex number powers of the differentiation operator D = (),and of the integration operator J = ∫ (),and developing a calculus for such operators generalizing the classical one.

In this context, the term powers refers to iterative application of a. Fractional Dynamics and Control provides a comprehensive overview of recent advances in the areas of nonlinear dynamics, vibration and control with analytical, numerical, and experimental results.

this book also discusses the role that fractional order modeling can Cited by: Fractional Dynamics and Control provides a comprehensive overview of recent advances in the areas of nonlinear dynamics, vibration and control with analytical, numerical, and experimental results.

This book provides an overview of recent discoveries in fractional control, delves into fractional variational principles and differential. Mathematical Techniques of Fractional Order Systems illustrates advances in linear and nonlinear fractional-order systems relating to many interdisciplinary applications, including biomedical, control, circuits, electromagnetics and security.

The book covers the mathematical background and literature survey of fractional-order calculus and. Find many great new & used options and get the best deals for Hamiltonian Chaos and Fractional Dynamics by George M.

Zaslavsky (, Hardcover) at the. The dynamics of realistic Hamiltonian systems has unusual microscopic features that are direct consequences of its fractional space-time structure and its phase space topology. The book deals with the fractality of the chaotic dynamics and kinetics, and also includes material on non-ergodic and non-well-mixing Hamiltonian : $ The book presents efficient numerical methods for simulation and analysis of physical processes exhibiting fractional order (FO) dynamics.

The book introduces FO system identification method to estimate parameters of a mathematical model under consideration from.

The dynamics of realistic Hamiltonian systems has unusual microscopic features that are direct consequences of its fractional space-time structure and its phase space topology.

The book deals with the fractality of the chaotic dynamics and kinetics, and also includes material on non-ergodic and non-well-mixing Hamiltonian dynamics. The book does not follow the traditional scheme of most of. The book deals with the fractality of the chaotic dynamics and kinetics, and also includes material on non-ergodic and non-well-mixing Hamiltonian dynamics.

The book does not follow the traditional The dynamics of realistic Hamiltonian systems has unusual microscopic features that are direct consequences of its fractional space-time structure 3/5(1). E-BOOK EXCERPT. In memory of Dr. George Zaslavsky, "Long-range Interactions, Stochasticity and Fractional Dynamics" covers the recent developments of long-range interaction, fractional dynamics, brain dynamics and stochastic theory of turbulence, each chapter was written by.

This book covers the following topics about Fractional Calculus: Elementary preliminaries, Grunwald’s construction, The Riemann-Liouville construction, Abel’s solution of the tautochrone problem, Heaviside’s solution of the diffusion equation, Application to the differention of fractal curves, Charge density on a needle, Eigenfunctions of.

The dynamics of realistic Hamiltonian systems has unusual microscopic features that are direct consequences of its fractional space-time structure and its phase space topology.

The book deals with the fractality of the chaotic dynamics and kinetics, and also includes material on non-ergodic and non-well-mixing Hamiltonian dynamics. The book does not follow the traditional scheme of most of. Book Description. This book features original research articles on the topic of mathematical modelling and fractional differential equations.

The contributions, written by leading researchers in the field, consist of chapters on classical and modern dynamical systems modelled by fractional differential equations in physics, engineering, signal processing, fluid mechanics, and bioengineering.

Fractional-order Nonlinear Systems: Chaotic Dynamics, Numerical Simulation and Circuits Design Mekkaoui, Toufik / Hammouch, Zakia / Belgacem, Fethi B.M.

/ El Abbassi, Ahmed Pages 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.

Fractional Calculus in Analysis, Dynamics and Optimal Control | Jacky Cresson | download | B–OK. Download books for free. Find books. Providing a contemporary treatment of this process, this book examines the recent literature on anomalous diffusion and covers a rich class of problems in which surface effects are important, offering detailed mathematical tools of usual and fractional calculus for a wide audience of scientists and graduate students in physics, mathematics Cited by: In Part 2, fractional dynamics and Lévy flight behavior are analyzed thoroughly, and a generalization of Pólya's classical recurrence theorem is developed for fractional walks.

The authors analyze primary fractional walk characteristics such as the mean occupation time, the mean first passage time, the fractal scaling of the set of distinct. A path integral approach to quantum physics has been developed.

Fractional path integrals over the paths of the L\'evy flights are defined. It is shown that if the fractality of the Brownian trajectories leads to standard quantum and statistical mechanics, then the fractality of the L\'evy paths leads to fractional quantum mechanics and fractional statistical mechanics.

When this introduction is done in an ad hoc manner, it is difficult to reconcile parameters in the resulting fractional-order equations with the dynamics of individuals. Read more. The introduction of fractional-order derivatives to epidemiological compartment models, such as.

Fractional calculus was inspired in by L’Hopital’s query in a letter to Leibniz about a fractional exponent ν in derivative d ν y/dx ν of a function y(x).During the next years, this topics was mentioned from time to time by eminent mathematicians such as Euler, Lagrange, and Fourier.

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