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Functional Numerical Methods: Applications to Abstract Fractional Calculus, George A. Anastassiou; Ioannis K. Argyros


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Автор: George A. Anastassiou; Ioannis K. Argyros
Название:  Functional Numerical Methods: Applications to Abstract Fractional Calculus
ISBN: 9783319887944
Издательство: Springer
Классификация:




ISBN-10: 3319887947
Обложка/Формат: Soft cover
Страницы: 161
Вес: 0.27 кг.
Дата издания: 2018
Серия: Studies in Systems, Decision and Control
Язык: English
Издание: Softcover reprint of
Иллюстрации: X, 161 p.
Размер: Book (Paperback Initiative)
Читательская аудитория: Professional & vocational
Основная тема: Engineering
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book presents applications of Newton-like and other similar methods to solve abstract functional equations involving fractional derivatives. It focuses on Banach space-valued functions of a real domain – studied for the first time in the literature. Various issues related to the modeling and analysis of fractional order systems continue to grow in popularity, and the book provides a deeper and more formal analysis of selected issues that are relevant to many areas – including decision-making, complex processes, systems modeling and control – and deeply embedded in the fields of engineering, computer science, physics, economics, and the social and life sciences. The book offers a valuable resource for researchers and graduate students, and can also be used as a textbook for seminars on the above-mentioned subjects. All chapters are self-contained and can be read independently. Further, each chapter includes an extensive list of references.
Дополнительное 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.- It


Intelligent Numerical Methods: Applications to Fractional Calculus

Автор: George A. Anastassiou; Ioannis K. Argyros
Название: Intelligent Numerical Methods: Applications to Fractional Calculus
ISBN: 3319800035 ISBN-13(EAN): 9783319800035
Издательство: Springer
Рейтинг:
Цена: 139750.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
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.

Numerical Methods and Applications

Автор: Geno Nikolov; Natalia Kolkovska; Krassimir Georgie
Название: Numerical Methods and Applications
ISBN: 3030106918 ISBN-13(EAN): 9783030106911
Издательство: Springer
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Цена: 46570.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book constitutes the thoroughly refereed post-conference proceedings of the 9th International Conference on Numerical Methods and Applications, NMA 2018, held in Borovets, Bulgaria, in August 2018. The 56 revised regular papers presented were carefully reviewed and selected from 61 submissions for inclusion in this book.

Intelligent Computations: Abstract Fractional Calculus, Inequalities, Approximations

Автор: George A. Anastassiou
Название: Intelligent Computations: Abstract Fractional Calculus, Inequalities, Approximations
ISBN: 3319883496 ISBN-13(EAN): 9783319883496
Издательство: Springer
Рейтинг:
Цена: 139750.00 T
Наличие на складе: Поставка под заказ.
Описание:

This brief book presents the strong fractional analysis of Banach space valued functions of a real domain. The book’s results are abstract in nature: analytic inequalities, Korovkin approximation of functions and neural network approximation. The chapters are self-contained and can be read independently.
This concise book is suitable for use in related graduate classes and many research projects. An extensive list of references is provided for each chapter. The book’s results are relevant for many areas of pure and applied mathematics. As such, it offers a unique resource for researchers, and a valuable addition to all science and engineering libraries.

Analog/Digital Implementation of Fractional Order Chaotic Circuits and Applications

Автор: Esteban Tlelo-Cuautle; Ana Dalia Pano-Azucena; Oma
Название: Analog/Digital Implementation of Fractional Order Chaotic Circuits and Applications
ISBN: 3030312496 ISBN-13(EAN): 9783030312497
Издательство: Springer
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Цена: 93160.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book details the simulation and optimization of integer and fractional-order chaotic systems, and how they can be implemented in the analog and digital domains using FPAAs and FPGAs. Design guidelines are provided to use commercially available electronic devices, and to perform hardware descriptions of integer/fractional-order chaotic systems programming in VHDL. Finally, several engineering applications oriented to cryptography, internet of things, robotics and chaotic communications, are detailed to highlight the usefulness of FPAA/FPGA based integer/fractional-order chaotic systems.Provides guidelines to implement fractional-order derivatives using commercially available devices;Describes details on using FPAAs to approach fractional-order chaotic systems;Includes details on using FPGAs to approach fractional-order chaotic systems, programming in VHDL and reducing hardware resources;Discusses applications to cryptography, internet of things, robotics and chaotic communications.


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
Рейтинг:
Цена: 111790.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
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.

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
Рейтинг:
Цена: 149060.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
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.

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
Рейтинг:
Цена: 111790.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
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.

Discrete Fractional Calculus: Applications In Control And Image Processing

Автор: Ostalczyk Piotr
Название: Discrete Fractional Calculus: Applications In Control And Image Processing
ISBN: 9814725668 ISBN-13(EAN): 9789814725668
Издательство: World Scientific Publishing
Цена: 141510.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The main subject of the monograph is the fractional calculus in the discrete version.

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: 200260.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
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.

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
Рейтинг:
Цена: 156720.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
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 Computations: Abstract Fractional Calculus, Inequalities, Approximations

Автор: George A. Anastassiou
Название: Intelligent Computations: Abstract Fractional Calculus, Inequalities, Approximations
ISBN: 3319669354 ISBN-13(EAN): 9783319669359
Издательство: Springer
Рейтинг:
Цена: 139750.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This brief book presents the strong fractional analysis of Banach space valued functions of a real domain. The book`s results are abstract in nature: analytic inequalities, Korovkin approximation of functions and neural network approximation.

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
Рейтинг:
Цена: 46570.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
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.



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