Regional Analysis of Time-Fractional Diffusion Processes

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Technology, Automation
Cover of the book Regional Analysis of Time-Fractional Diffusion Processes by Fudong Ge, YangQuan Chen, Chunhai Kou, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Fudong Ge, YangQuan Chen, Chunhai Kou ISBN: 9783319728964
Publisher: Springer International Publishing Publication: January 8, 2018
Imprint: Springer Language: English
Author: Fudong Ge, YangQuan Chen, Chunhai Kou
ISBN: 9783319728964
Publisher: Springer International Publishing
Publication: January 8, 2018
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Towards a Unified Italy by Fudong Ge, YangQuan Chen, Chunhai Kou
Cover of the book Life History Evolution and Sociology by Fudong Ge, YangQuan Chen, Chunhai Kou
Cover of the book Excel 2016 for Marketing Statistics by Fudong Ge, YangQuan Chen, Chunhai Kou
Cover of the book Advanced Polymers in Medicine by Fudong Ge, YangQuan Chen, Chunhai Kou
Cover of the book Herpes Zoster: Postherpetic Neuralgia and Other Complications by Fudong Ge, YangQuan Chen, Chunhai Kou
Cover of the book The Analysis of Nuclear Materials and Their Environments by Fudong Ge, YangQuan Chen, Chunhai Kou
Cover of the book Information Systems and Neuroscience by Fudong Ge, YangQuan Chen, Chunhai Kou
Cover of the book Advances in Production Management Systems: Innovative Production Management Towards Sustainable Growth by Fudong Ge, YangQuan Chen, Chunhai Kou
Cover of the book The 21st Century Fight for the Amazon by Fudong Ge, YangQuan Chen, Chunhai Kou
Cover of the book The Physical Exam by Fudong Ge, YangQuan Chen, Chunhai Kou
Cover of the book Probability and Statistics for Particle Physics by Fudong Ge, YangQuan Chen, Chunhai Kou
Cover of the book Technology, Commercialization and Gender by Fudong Ge, YangQuan Chen, Chunhai Kou
Cover of the book Environmental Policy, Non-Product Related Process and Production Methods and the Law of the World Trade Organization by Fudong Ge, YangQuan Chen, Chunhai Kou
Cover of the book Handbook of Recent Advances in Commodity and Financial Modeling by Fudong Ge, YangQuan Chen, Chunhai Kou
Cover of the book Intelligent Human Computer Interaction by Fudong Ge, YangQuan Chen, Chunhai Kou
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy