Fuzzy Fractional Differential Operators and Equations - Fuzzy Fractional Differential Equations
von Tofigh Allahviranloo
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Beschreibung
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.
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.
Mitwirkende
Autor:
Tofigh Allahviranloo
Weitere Informationen
Anmerkung Illustrationen:
XII, 293 p. 221 illus., 34 illus. in color.
Inhaltsverzeichnis:
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.
Bemerkungen:
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
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
Medientyp:
Buch gebunden
Verlag:
Springer International Publishing
Rezension:
"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)
"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)
Sprache:
Englisch
Auflage:
1st ed. 2021
Seitenanzahl:
293
Stammdaten
Produkttyp:
Buch Gebunden
Verpackungsabmessungen:
0.234 x 0.156 x 0.019 m; 0.63 kg
GTIN:
09783030512712
DUIN:
4ORJHQGI5VF
€ 149,99