Fractional Dynamical Systems: Methods, Algorithms and Applications

This book covers a wide range of topics related to fractional-order dynamical systems, including their theoretical foundations, analytical approaches, and practical applications, highlighting their significance in describing and analyzing complex systems.

Format: Paperback / softback
Length: 397 pages
Publication date: 06 January 2023
Publisher: Springer Nature Switzerland AG

This comprehensive book delves into a vast array of topics and challenges associated with fractional-order dynamical systems, offering a thorough and detailed exploration of numerous facets related to this emerging field. Designed as a comprehensive presentation, it encompasses a wide range of aspects that extend the traditional integer-order-type descriptions, constituting an extension of fractional-order dynamical systems. This expansion brings about profound implications, both analytically and algorithmically, as properties of traditional integer-order systems cannot be simply extended to fractional-order systems modeled by fractional-order differential equations involving derivatives of non-integer order. This uniqueness presents opportunities for describing and analyzing phenomena such as anomalies in system behavior, chaotic dynamics, and other intricate phenomena.

The book encompasses a diverse range of contributions, including cutting-edge analytical studies with robust theoretical foundations, algorithmic implementations of advanced tools and techniques, and practical examples showcasing successful applications in various domains. By presenting a holistic approach, this text serves as a valuable resource for researchers, scholars, and practitioners seeking to advance their understanding and applications of fractional-order dynamical systems.

The significance of this work lies in its ability to bridge the gap between theory and practice, providing a solid foundation for developing novel algorithms and models that can effectively handle complex systems characterized by fractional dynamics. By leveraging the unique properties of fractional-order systems, researchers can unlock new insights into a wide range of scientific and engineering applications, including signal processing, control systems, optimization, and systems biology.

In conclusion, this book represents a significant milestone in the field of fractional-order dynamical systems, offering a comprehensive and accessible overview of its theoretical foundations, practical applications, and future directions. It serves as a valuable resource for researchers, students, and practitioners alike, paving the way for further advancements in this rapidly evolving area of study.

Weight: 629g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030899745
Edition number: 1st ed. 2022