Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes, Colombo Fabrizio, Gantner Jonathan

Автор: Fudong Ge; YangQuan Chen; Chunhai Kou
Название: Regional Analysis of Time-Fractional Diffusion Processes
ISBN: 3319892193 ISBN-13(EAN): 9783319892191
Издательство: Springer
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Цена: 93160.00 T
Наличие на складе: Поставка под заказ.
Описание: This monograph provides an accessible introduction to the regional analysis of fractional diffusion processes. It begins with background coverage of fractional calculus, functional analysis, distributed parameter systems and relevant basic control theory. New research problems are then defined in terms of their actuation and sensing policies within the regional analysis framework. The results presented provide insight into the control-theoretic analysis of fractional-order systems for use in real-life applications such as hard-disk drives, sleep stage identification and classification, and unmanned aerial vehicle control. The results can also be extended to complex fractional-order distributed-parameter systems and various open questions with potential for further investigation are discussed. For instance, the problem of fractional order distributed-parameter systems with mobile actuators/sensors, optimal parameter identification, optimal locations/trajectory of actuators/sensors and regional actuation/sensing configurations are of great interest. The book’s use of illustrations and consistent examples throughout helps readers to understand the significance of the proposed fractional models and methodologies and to enhance their comprehension. The applications treated in the book run the gamut from environmental science to national security. Academics and graduate students working with cyber-physical and distributed systems or interested in the applications of fractional calculus will find this book to be an instructive source of state-of-the-art results and inspiration for further research.

Автор: Fabrizio Colombo; Jonathan Gantner
Название: Quaternionic Closed Operators, Fractional Powers and Fractional Diffusion Processes
ISBN: 303016408X ISBN-13(EAN): 9783030164089
Издательство: Springer
Рейтинг:
Цена: 93160.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents a new theory for evolution operators and a new method for defining fractional powers of vector operators. This new approach allows to define new classes of fractional diffusion and evolution problems. These innovative methods and techniques, based on the concept of S-spectrum, can inspire researchers from various areas of operator theory and PDEs to explore new research directions in their fields.This monograph is the natural continuation of the book: Spectral Theory on the S-Spectrum for Quaternionic Operators by Fabrizio Colombo, Jonathan Gantner, and David P. Kimsey (Operator Theory: Advances and Applications, Vol. 270).

Автор: Fabrizio Colombo; Jonathan Gantner; David P. Kimse
Название: Spectral Theory on the S-Spectrum for Quaternionic Operators
ISBN: 3030030733 ISBN-13(EAN): 9783030030735
Издательство: Springer
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Цена: 79190.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The subject of this monograph is the quaternionic spectral theory based on the notion of S-spectrum. With the purpose of giving a systematic and self-contained treatment of this theory that has been developed in the last decade, the book features topics like the S-functional calculus, the F-functional calculus, the quaternionic spectral theorem, spectral integration and spectral operators in the quaternionic setting. These topics are based on the notion of S-spectrum of a quaternionic linear operator. Further developments of this theory lead to applications in fractional diffusion and evolution problems that will be covered in a separate monograph.

Автор: Daniel Alpay; Fabrizio Colombo; Irene Sabadini
Название: Quaternionic de Branges Spaces and Characteristic Operator Function
ISBN: 3030383113 ISBN-13(EAN): 9783030383114
Издательство: Springer
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Цена: 46570.00 T
Наличие на складе: Невозможна поставка.
Описание: This book is intended for periodontal residents and practicing periodontists who wish to incorporate the principles of moderate sedation into daily practice. Comprehensive airway management and rescue skills are then documented in detail so that the patient may be properly managed in the event that the sedation progresses beyond the intended level.