Fuzzy Fractional Differential Operators and Equations: Fuzzy Fractional Differential Equations (Studies in Fuzziness and Soft Computing Book 397)

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. Front Matter ....Pages i-xii Introduction to Fuzzy Fractional Operators and Equations (Tofigh Allahviranloo)....Pages 1-6 Fuzzy Sets (Tofigh Allahviranloo)....Pages 7-71 Fuzzy Fractional Operators (Tofigh Allahviranloo)....Pages 73-126 Fuzzy Fractional Differential Equations (Tofigh Allahviranloo)....Pages 127-192 Numerical Solution of Fuzzy Fractional Differential Equations (Tofigh Allahviranloo)....Pages 193-258 Applications of Fuzzy Fractional Differential Equations (Tofigh Allahviranloo)....Pages 259-290 Back Matter ....Pages 291-293