Fuzzy Fractional Differential Operators and Equations: Fuzzy Fractional Differential Equations (Studies in Fuzziness and Soft Computing, 397, Band 397) - Hardcover

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Tofigh Allahviranloo is a full professor of applied mathematics at Istinye University in Turkey and the Islamic Azad University (IAU) Science and Research Branch in Iran. He has previously worked at several universities, including the University of Prince Edward Island in Canada, Izmir University, and Bahcesehir University in Turkey. As a mathematician and computer scientist, Prof. Allahviranloo is passionate about multi- and interdisciplinary research. He specializes in fundamental research in fuzzy applied mathematics, particularly fuzzy differential equations, and is focused on innovative applications in applied biological sciences. Currently, he is developing a new mathematical space to address complex uncertainties and is defining a new concept of uncertainty. Safoura Rezaei Aderyani is a Ph.D. student in Mathematics at the Iran University of Science and Technology. She has extensively published papers on Ulam's type stability, including studies on difference, differential, functional, and integral equations. Her work also explores the applications of Ulam's type stability and its connections to other mathematical areas. Additionally, Rezaei Aderyani has contributed as an editor to several papers and special volumes focused on these subjects. Reza Saadati is a faculty member at the Department of mathematics, Iran University of Science and Technology, in Iran. Dr. Saadati has authored over 5 international books and approximately 280 papers published by renowned publishers like Elsevier, Springer, and Wiley. He is the editor of several well-known journals such as Iran J Fuzzy System and fixed point theory and algorithms for Sci. and Eng-Springer. Chenkuan Li has been a full professor at the Department of Mathematics and Computer Science since 2006. His research activities are devoted to distribution theory, generalized integral transforms, fractional analysis, and nonlinear differential equations with fixed point theory. He has published over 100 papers and has been supported by the Natural Sciences and Engineering Research Council of Canada for a long time. In addition, he was awarded the Brandon University Senate Award for Excellence in Research 2015 and Teaching in 2016.

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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.