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Advances in Fractional Calculus, J. Sabatier; O. P. Agrawal; J. A. Tenreiro Machado


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Автор: J. Sabatier; O. P. Agrawal; J. A. Tenreiro Machado
Название:  Advances in Fractional Calculus
ISBN: 9789048175130
Издательство: Springer
Классификация:






ISBN-10: 9048175135
Обложка/Формат: Paperback
Страницы: 552
Вес: 0.78 кг.
Дата издания: 19.10.2010
Язык: English
Размер: 234 x 156 x 29
Основная тема: Engineering
Подзаголовок: Theoretical Developments and Applications in Physics and Engineering
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: 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.


Intelligent Numerical Methods II: Applications to Multivariate Fractional Calculus

Автор: George A. Anastassiou; Ioannis K. Argyros
Название: Intelligent Numerical Methods II: Applications to Multivariate Fractional Calculus
ISBN: 3319336053 ISBN-13(EAN): 9783319336053
Издательство: Springer
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Цена: 16769.00 р.
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Описание: Presenting system dynamics as a powerful approach to build simulation models of social systems to aid decision making, this book is grounded in the feedback perspective of complex systems and introduces key concepts such as stocks, flows and feedback. The R programming language provides an open-source and interoperable way to build models.

Stabilization and Control of Fractional Order Systems: A Sliding Mode Approach

Автор: Bijnan Bandyopadhyay; Shyam Kamal
Название: Stabilization and Control of Fractional Order Systems: A Sliding Mode Approach
ISBN: 3319086200 ISBN-13(EAN): 9783319086200
Издательство: Springer
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Цена: 19591.00 р.
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Описание: Essence of Fractional Order Calculus, Physical Interpretation and Applications.- Solution, Stability and Realization of Fractional Order Differential Equation.- Sliding Mode Control of Fractional Order Systems.- Finite Time Stabilization of Fractional Order Systems.- A Soft Variable Structure Control of Fractional Order Systems.- Robust Cooperative Control of Fractional-Order Multiple Agents.- Discrete Sliding Mode Control of Fractional Order systems.- Disturbance Observer based Robust Control for Fractional Order Systems.- Contraction Analysis by Integer Order and Fractional Order Infinitesimal Variations.

Fractional Calculus for Scientists and Engineers

Автор: Manuel Duarte Ortigueira
Название: Fractional Calculus for Scientists and Engineers
ISBN: 9400736371 ISBN-13(EAN): 9789400736375
Издательство: Springer
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Цена: 15672.00 р.
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Описание: In recent years fractional calculus has been rediscovered by scientists and engineers and applied in an increasing number of fields. This book gives a practical and multidisciplinary overview of Fractional Calculus as it relates to Signal Processing.

Fractional Calculus

Автор: Herrmann Richard
Название: Fractional Calculus
ISBN: 9814551074 ISBN-13(EAN): 9789814551076
Издательство: World Scientific Publishing
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Цена: 25344.00 р.
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Описание: Latest Edition: Fractional Calculus: An Introduction for Physicists (3rd Edition)The book presents a concise introduction to the basic methods and strategies in fractional calculus and enables the reader to catch up with the state of the art in this field as well as to participate and contribute in the development of this exciting research area.The contents are devoted to the application of fractional calculus to physical problems. The fractional concept is applied to subjects in classical mechanics, group theory, quantum mechanics, nuclear physics, hadron spectroscopy and quantum field theory and it will surprise the reader with new intriguing insights.This new, extended edition now also covers additional chapters about image processing, folded potentials in cluster physics, infrared spectroscopy and local aspects of fractional calculus. A new feature is exercises with elaborated solutions, which significantly supports a deeper understanding of general aspects of the theory. As a result, this book should also be useful as a supporting medium for teachers and courses devoted to this subject.

New Trends in Nanotechnology and Fractional Calculus Applications

Автор: Dumitru Baleanu; Ziya B. Guvenc; J.A. Tenreiro Mac
Название: New Trends in Nanotechnology and Fractional Calculus Applications
ISBN: 9048132924 ISBN-13(EAN): 9789048132928
Издательство: Springer
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Цена: 30039.00 р.
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Описание: In recent years, fractional calculus has played a major role in various fields such as mechanics, electricity, biology and economics. This book presents the state-of-the-art in the study of fractional systems and the application of fractional differentiation.

Intelligent Numerical Methods: Applications to Fractional Calculus

Автор: George A. Anastassiou; Ioannis K. Argyros
Название: Intelligent Numerical Methods: Applications to Fractional Calculus
ISBN: 3319267205 ISBN-13(EAN): 9783319267203
Издательство: Springer
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Цена: 22359.00 р.
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Описание: In this monograph the authors present Newton-type, Newton-like and other numerical methods, which involve fractional derivatives and fractional integral operators, for the first time studied in the literature.

Functional Numerical Methods: Applications to Abstract Fractional Calculus

Автор: George A. Anastassiou; Ioannis K. Argyros
Название: Functional Numerical Methods: Applications to Abstract Fractional Calculus
ISBN: 3319695258 ISBN-13(EAN): 9783319695259
Издательство: Springer
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Цена: 16769.00 р.
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Описание: Explicit-Implicit methods with applications to Banach space valued functions in abstract fractional calculus.- Convergence of Iterative methods in abstract fractional calculus.- Equations for Banach space valued functions in fractional vector calculi.- Iterative methods in abstract fractional calculus.- Semi-local convergence in right abstract fractional calculus.- Algorithmic convergence in abstract g-fractional calculus.- Iterative procedures for solving equations in abstract fractional calculus.- Approximate solutions of equations in abstract g-fractional calculus.- Generating sequences for solving in abstract g-fractional calculus.- Numerical Optimization and fractional invexity.

New Trends in Nanotechnology and Fractional Calculus Applications

Автор: Dumitru Baleanu; Ziya B. Guvenc; J.A. Tenreiro Mac
Название: New Trends in Nanotechnology and Fractional Calculus Applications
ISBN: 9400790996 ISBN-13(EAN): 9789400790995
Издательство: Springer
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Цена: 23508.00 р.
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Описание: In recent years, fractional calculus has played a major role in various fields such as mechanics, electricity, biology and economics. This book presents the state-of-the-art in the study of fractional systems and the application of fractional differentiation.

Advanced Methods in the Fractional Calculus of Variations

Автор: Agnieszka B. Malinowska; Tatiana Odzijewicz; Delfi
Название: Advanced Methods in the Fractional Calculus of Variations
ISBN: 3319147552 ISBN-13(EAN): 9783319147550
Издательство: Springer
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Цена: 6986.00 р.
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Описание:

1. Introduction.- 2. Fractional Calculus.- 2.1. One-dimensional Fractional Calculus.- 2.2. Multidimensional Fractional Calculus.- 3. Fractional Calculus of Variations.- 3.1. Fractional Euler-Lagrange Equations.- 3.2. Fractional Embedding of Euler-Lagrange Equations.- 4. Standard Methods in Fractional Variational Calculus.- 4.1. Properties of Generalized Fractional Integrals.- 4.2. Fundamental Problem.- 4.3. Free Initial Boundary.- 4.4. Isoperimetric Problem.- 4.5. Noether's Theorem.- 4.6. Variational Calculus in Terms of a Generalized Integral.- 4.7. Generalized Variational Calculus of Several Variables.- 4.8. Conclusion.- 5. Direct Methods in Fractional Calculus of Variations.- 5.1. Existence of a Minimizer for a Generalized Functional.- 5.2. Necessary Optimality Condition for a Minimizer.- 5.3. Some Improvements.- 5.4. Conclusion.- 6. Application to the Sturm-Liouville Problem.- 6.1. Useful Lemmas.- 6.2. The Fractional Sturm-Liouville Problem.- 7. Conclusion.- Appendix - Two Convergence Lemmas.- Index.

Fractals and Fractional Calculus in Continuum Mechanics

Автор: Alberto Carpinteri; Francesco Mainardi
Название: Fractals and Fractional Calculus in Continuum Mechanics
ISBN: 321182913X ISBN-13(EAN): 9783211829134
Издательство: Springer
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Цена: 16979.00 р.
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Описание: The book is characterized by the illustration of cases of fractal, self-similar and multi-scale structures taken from the mechanics of solid and porous materials, which have a technical interest. In addition, an accessible and self-consistent treatment of the mathematical technique of fractional calculus is provided, avoiding useless complications.

Fractional Order Darwinian Particle Swarm Optimization

Автор: Micael Couceiro; Pedram Ghamisi
Название: Fractional Order Darwinian Particle Swarm Optimization
ISBN: 3319196340 ISBN-13(EAN): 9783319196343
Издательство: Springer
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Цена: 9141.00 р.
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Описание: It compares the capabilities of some of the better-known bio-inspired optimization approaches, especially Particle Swarm Optimization (PSO), Darwinian Particle Swarm Optimization (DPSO) and the recently proposed Fractional Order Darwinian Particle Swarm Optimization (FODPSO), and comprehensively discusses their advantages and disadvantages.

The Realization Problem for Positive and Fractional Systems

Автор: Tadeusz Kaczorek; Lukasz Sajewski
Название: The Realization Problem for Positive and Fractional Systems
ISBN: 3319048333 ISBN-13(EAN): 9783319048338
Издательство: Springer
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Цена: 23757.00 р.
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Описание: This book addresses the realization problem of positive and fractional continuous-time and discrete-time linear systems. The realization problem for linear systems described by differential operators, the realization problem in the Weierstrass canonical forms and of the descriptor linear systems for given Markov parameters are addressed.


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