Computational Fractional Dynamical Systems

This book presents a wide and comprehensive spectrum of issues and problems related to fractional-order dynamical systems. It is meant to be a full-fledge, comprehensive presentation of many aspects related to the broadly perceived fractional-order dynamical systems which constitute an extension of the traditional integer-order-type descriptions. This implies far-reaching consequences, both analytic and algorithmic, because—in general—properties of the traditional integer-order systems cannot be directly extended by a straightforward generalization to fractional-order systems, modeled by fractional-order differential equations involving derivatives of an non-integer order.

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This book brings together important contributions from renowned international researchers to provide an excellent survey of recent advances in dynamical systems theory and applications.

This book contains some of the contributions under five main titles that are carefully selected according to the reports of referees, presented at the Inter- national Symposium, MME06 Mathematical Methods in Engineering, held in C¸ankaya University, Ankara, April 27–29, 2006. The Symposium provided a setting for discussing recent developments in Fractional Mathematics, Neutrices and Generalized Functions, Boundary Value Problems, Applications of Wavelets, Dynamical Systems and Control Theory.

This collection covers all fields of mathematics, a must-have for the aspiring maths students and scholars alike.

The subject matter of this book ranges from new control design methods to control theory applications in electrical and mechanical engineering and computers. The book covers certain aspects of control theory, including new methodologies, techniques, and applications. It promotes control theory in practical applications of these engineering domains and shows the way to disseminate researchers’ contributions in the field.