Applications of Fractional Calculus to Modeling in Dynamics and Chaos PDF

Applications of Fractional Calculus to Modeling in Dynamics and Chaos 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.

Features

Discusses real-world problems, theory, and applications

Covers new developments and advances in the various areas of nonlinear dynamics, signal processing, and chaos

Suitable to teach master’s and/or PhD-level graduate students, and can be used by researchers, from any field of the social, health, and physical sciences

Authors: J. F. Gómez-Aguilar, Abdon Atangana