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Advanced Methods in the Fractional Calculus of Variations, Agnieszka B. Malinowska; Tatiana Odzijewicz; Delfi


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Автор: Agnieszka B. Malinowska; Tatiana Odzijewicz; Delfi
Название:  Advanced Methods in the Fractional Calculus of Variations
ISBN: 9783319147550
Издательство: Springer
Классификация:





ISBN-10: 3319147552
Обложка/Формат: Paperback
Страницы: 135
Вес: 0.22 кг.
Дата издания: 06.03.2015
Серия: SpringerBriefs in Applied Sciences and Technology
Язык: English
Размер: 234 x 156 x 8
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
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. Noethers 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.




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.

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.

Advances in Robust Fractional Control

Автор: Fabrizio Padula; Antonio Visioli
Название: Advances in Robust Fractional Control
ISBN: 3319109294 ISBN-13(EAN): 9783319109299
Издательство: Springer
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Цена: 15672.00 р.
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Asymptotic Integration and Stability: For Ordinary, Functional and Discrete Differential Equations of Fractional Order

Автор: Baleanu Dumitru, Mustafa Octavian G., Baleanu D.
Название: Asymptotic Integration and Stability: For Ordinary, Functional and Discrete Differential Equations of Fractional Order
ISBN: 981464109X ISBN-13(EAN): 9789814641098
Издательство: World Scientific Publishing
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Цена: 12514.00 р.
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Описание: This volume presents several important and recent contributions to the emerging field of fractional differential equations in a self-contained manner.

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: 3319381334 ISBN-13(EAN): 9783319381336
Издательство: Springer
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Цена: 14365.00 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.

Advances in Robust Fractional Control

Автор: Fabrizio Padula; Antonio Visioli
Название: Advances in Robust Fractional Control
ISBN: 3319354329 ISBN-13(EAN): 9783319354323
Издательство: Springer
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Цена: 13059.00 р.
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Описание: Introduction to Fractional Calculus.- Fractional Systems for Control.- Fractional Proportional-Integral-Derivative Controllers.- FOPID Controller Additional Functionalities.- H-infinity Control of Fractional Systems.- H-infinity Optimization-based FOPID Design.- Control Design Based on Input-Output Inversion.

Advances in Fractional Calculus

Автор: J. Sabatier; O. P. Agrawal; J. A. Tenreiro Machado
Название: Advances in Fractional Calculus
ISBN: 9048175135 ISBN-13(EAN): 9789048175130
Издательство: Springer
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Цена: 30039.00 р.
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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.

Linear-Fractional Programming Theory, Methods, Applications and Software

Автор: E.B. Bajalinov
Название: Linear-Fractional Programming Theory, Methods, Applications and Software
ISBN: 1461348226 ISBN-13(EAN): 9781461348221
Издательство: Springer
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Цена: 20962.00 р.
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Описание: This is a book on Linear-Fractional Programming (here and in what follows we will refer to it as "LFP"). In linear-fractional programming, the goal is to determine a per- missible allocation of resources that will maximize or minimize some specific showing, such as profit gained per unit of cost, or cost of unit of product produced, etc.

Variational Methods for Nonlocal Fractional Problems

Автор: Molica Bisci
Название: Variational Methods for Nonlocal Fractional Problems
ISBN: 1107111943 ISBN-13(EAN): 9781107111943
Издательство: Cambridge Academ
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Цена: 21226.00 р.
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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.

The Method of Fractional Steps

Автор: M. Holt; Nikolaj N. Yanenko
Название: The Method of Fractional Steps
ISBN: 3642651100 ISBN-13(EAN): 9783642651106
Издательство: Springer
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Цена: 15372.00 р.
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Описание: As the method is perfected it is likely to supplant traditional relaxation methods and finite element methods, especially with the increase in capability of large scale computers.


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