Allahviranloo Fuzzy Fractional Differential Operators and Equations

Fuzzy Fractional Differential Equations
Erscheinungsjahr 2020
ISBN: 978-3-030-51272-9
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 397, 293 Seiten, eBook

Reihe: Studies in Fuzziness and Soft Computing

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.

Zielgruppe

Research

Autoren/Hrsg.

Allahviranloo, Tofigh

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.