Fractional Equations and Models
Theory and Applications
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Beschreibung
Fractional equations and models play an essential part in the description of anomalous dynamics in complex systems. Recent developments in the modeling of various physical, chemical and biological systems have clearly shown that fractional calculus is not just an exotic mathematical theory, as it might have once seemed. The present book seeks to demonstrate this using various examples of equations and models with fractional and generalized operators. Intended for students and researchers in mathematics, physics, chemistry, biology and engineering, it systematically offers a wealth of useful tools for fractional calculus.
Fractional equations and models play an essential part in the description of anomalous dynamics in complex systems. Recent developments in the modeling of various physical, chemical and biological systems have clearly shown that fractional calculus is not just an exotic mathematical theory, as it might have once seemed. The present book seeks to demonstrate this using various examples of equations and models with fractional and generalized operators. Intended for students and researchers in mathematics, physics, chemistry, biology and engineering, it systematically offers a wealth of useful tools for fractional calculus.
Offers a detailed introduction to and advanced theory of fractional calculus Pursues a step-by-step approach to solve related problems Includes material that will be of interest to mathematicians, physicists, chemists, biologists and engineers
Autor*in
Trifce Sandev
Themen in »Fractional Equations and Models«
Fractional Calculus Mittag-Leffler functions Anomalous diffusion Stochastic processes Kinetic equations partial differential equations
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“In this valuable and interesting book, the authors treat the vast theory of fractional calculus. … The book is very well-organized and carefully written. The authors listed a plentiful of references in each section, which help the reader for further study. … Detailed computations and many graphical representations enhance the understanding of the reader. Researchers and students from diverse scientific communities working in fractional calculus will find this book a source of various ideas and tools.” (Seunghyeok Kim, zbMATH 1473.35002, 2021)
“The book is written in a very concise and precise mathematical manner. The results concerning different types of fractional equations gathered in the book may be a valuable resource to researchers interested in the modeling of various processes related to anomalous diffusion behavior.” (Krzysztof Rogowski, Mathematical Reviews, August, 2021)
“This book is a very specialized text that considers fractional calculus and fractional differential equations used in the study of fractional stochastic and kinetic models. … The current book is essentially a monograph that explores applications using several variations of the fractional calculus.” (MAA Reviews, March 1, 2020)
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