<B><P><EM>Applications of Fractional Calculus to Modeling in Dynamics and Chaos</EM></B> aims to present novel developments, trends, and applications of fractional-order derivatives with power law and Mittag-Leffler kernel in the areas of chemistry, mechanics, chaos, epidemiology, fluid mechanics, modeling, and engineering. Non-singular and non-local fractional-order derivatives have been applied in different chapters to describe complex problems. The book offers theory and practical applications for the solutions of real-life problems and will be of interest to graduate-level students, educators, researchers, and scientists interested in mathematical modeling and its diverse applications.</P><P><B>Features</B></P><UL><LI>Discusses real-world problems, theory, and applications</LI><LI>Covers new developments and advances in the various areas of nonlinear dynamics, signal processing, and chaos</LI><LI>Suitable to teach master''s and/or PhD-level graduate students, and can be used by res
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This book contains a brief historical introduction and state of the art in fractional calculus. The concepts of fractional integral and fractional derivative are also presented. Each chapter, except for the first one, contains a list of exercises containing...
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