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

Автор: Herrmann Richard
Название: Fractional Calculus
ISBN: 9814551074 ISBN-13(EAN): 9789814551076
Издательство: World Scientific Publishing
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Цена: 168960.00 T
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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.

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: 149060.00 T
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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.

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: 111790.00 T
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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.

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: 46570.00 T
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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.

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: 158380.00 T
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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.

Автор: Molica Bisci
Название: Variational Methods for Nonlocal Fractional Problems
ISBN: 1107111943 ISBN-13(EAN): 9781107111943
Издательство: Cambridge Academ
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Цена: 141510.00 T
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Описание: Devoted to the variational analysis of problems described by nonlocal operators, this book will appeal to a wide range of researchers and graduate students in mathematics, especially those interested in nonlinear phenomena. A careful balance is struck between rigorous mathematics and physical 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: 156720.00 T
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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.

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: 60940.00 T
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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.

Автор: Guo Boling Et Al
Название: Fractional Partial Differential Equations And Their Numerical Solutions
ISBN: 9814667048 ISBN-13(EAN): 9789814667043
Издательство: World Scientific Publishing
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Цена: 116160.00 T
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Описание:

This book aims to introduce some new trends and results on the study of the fractional differential equations, and to provide a good understanding of this field to beginners who are interested in this field, which is the authors' beautiful hope.

This book describes theoretical and numerical aspects of the fractional partial differential equations, including the authors' researches in this field, such as the fractional Nonlinear SchrOdinger equations, fractional Landau-Lifshitz equations and fractional Ginzburg-Landau equations. It also covers enough fundamental knowledge on the fractional derivatives and fractional integrals, and enough background of the fractional PDEs.

Автор: Manuel Duarte Ortigueira
Название: Fractional Calculus for Scientists and Engineers
ISBN: 9400736371 ISBN-13(EAN): 9789400736375
Издательство: Springer
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Цена: 104480.00 T
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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.

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: 200260.00 T
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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.

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: 113190.00 T
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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.