Fuzzy Fractional Differential Operators and Equations

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.

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

Zusammenfassung
"This book can be useful for researchers but also for those who want to initiate in the field of fuzzy fractional differential equations." (Vasile Lupulescu, zbMATH 1482.34001, 2022)
"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)

Inhalt
Chapter 1: Introduction.- Chapter 2: Fuzzy sets.- Chapter 3: Fuzzy fractional operators.- Chapter 4: Fuzzy fractional differential equations.- Chapter 5: Numerical solution of fuzzy fractional differential equations.- Chapter 6: Applications of fuzzy fractional differential equations.