Overview
- Highlights recent research on Fuzzy Fractional Differential Operators and Equations
- Presents the dynamic relationships between multiple components of a system in modeling, using a mathematical equation and the concept of stability in uncertain environments
- Describes formal models using fractional or fractional differential equations with system feedback or lag terms
Part of the book series: Studies in Fuzziness and Soft Computing (STUDFUZZ, volume 397)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (6 chapters)
Keywords
About this book
This book contains new and useful materials concerning fuzzy fractional differential and integral operators and their relationship. As the title of the book suggests, the fuzzy subject matter is one of the most important tools discussed. Therefore, it begins by providing a brief but important and new description of fuzzy sets and the computational calculus they require.
Fuzzy fractals and fractional operators have a broad range of applications in the engineering, medical and economic sciences. Although these operators have been addressed briefly in previous papers, this book represents the first comprehensive collection of all relevant explanations.
Most of the real problems in the biological and engineering sciences involve dynamic models, which are defined by fuzzy fractional operators in the form of fuzzy fractional initial value problems. Another important goal of this book is to solve these systems and analyze their solutions both theoretically and numerically. Given the content covered, the book will benefit all researchers and students in the mathematical and computer sciences, but also the engineering sciences.
Reviews
“In this book, the first of its kind in the literature, the author presents some significant results obtained in the theory of fuzzy fractional differential equations, while emphasizing his own contributions. … this reviewer believes that this book can be useful for researchers as well as for those who want an initiation to the field of fuzzy fractional differential equations.” (Vasile Lupulescu, Mathematical Reviews, April, 2022)
Authors and Affiliations
Bibliographic Information
Book Title: Fuzzy Fractional Differential Operators and Equations
Book Subtitle: Fuzzy Fractional Differential Equations
Authors: Tofigh Allahviranloo
Series Title: Studies in Fuzziness and Soft Computing
DOI: https://doi.org/10.1007/978-3-030-51272-9
Publisher: Springer Cham
eBook Packages: Intelligent Technologies and Robotics, Intelligent Technologies and Robotics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-51271-2Published: 16 June 2020
Softcover ISBN: 978-3-030-51274-3Published: 16 June 2021
eBook ISBN: 978-3-030-51272-9Published: 15 June 2020
Series ISSN: 1434-9922
Series E-ISSN: 1860-0808
Edition Number: 1
Number of Pages: XII, 293
Number of Illustrations: 187 b/w illustrations, 34 illustrations in colour
Topics: Computational Intelligence, Control and Systems Theory