New Trends in Nanotechnology and Fractional Calculus Applications
In recent years fractional calculus has played an important role in various fields such as mechanics, electricity, chemistry, biology, economics, modeling, identification, control theory and signal processing. The scope of this book is to present the stat
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New Trends in Nanotechnology and Fractional Calculus Applications
Edited by
D. BALEANU Çankaya University, Balgat-Ankara, Turkey
Z.B. GÜVENÇ Çankaya University, Balgat-Ankara, Turkey and
J.A. TENREIRO MACHADO Institute of Engineering of Porto, Porto, Portugal
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Editors Dumitru Baleanu Çankaya University Fac. Art and Sciences Ogretmenler Cad. 14 06530 Ankara Yüzüncü Yil, Balgat Turkey [email protected]
J.A. Tenreiro Machado Institute of Engineering of the Polytechnic Institute of Porto Dept. Electrotechnical Engineering Rua Dr. Antonio Bernardino de Almeida 4200-072 Postage Portugal [email protected]
Ziya B. Güvenç Çankaya University Fac. Engineering & Architecture Ogretmenler Cad. 14 06530 Ankara Yüzüncü Yil, Balgat Turkey [email protected]
ISBN 978-90-481-3292-8 e-ISBN 978-90-481-3293-5 DOI 10.1007/978-90-481-3293-5 Springer Dordrecht Heidelberg London New York Library of Congress Control Number: 2009942132 c Springer Science+Business Media B.V. 2010 No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Cover design: eStudio Calamar S.L. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Preface
By the beginning of November 2008, the International Workshops on New Trends in Science and Technology (NTST 08) and Fractional Differentiation and its Applications (FDA08) were held at C¸ankaya University, Ankara, Turkey. These events provided a place to exchange recent developments and progresses in several emerging scientific areas, namely nanoscience, nonlinear science and complexity, symmetries and integrability, and application of fractional calculus in science, engineering, economics and finance. The organizing committees have invited presentations from experts representing the international community of scholars and welcomed contributions from the growing number of researchers who are applying these tools to solve complex technical problems. Unlike the more established techniques of physics and engineering, the new methods are still under development and modern work is proceeding by both expanding the capabilities of these approaches and by widening their range of applications. Hence, the interested reader will find papers here that focus on the underlying mathematics and physics that extend the ideas into new domains, and that apply well established methods to experimental and to theoretical problems. This book contains some of the contributions that were presented at NTST08 and FDA08 and, after being carefully selected and peer-reviewed, were expanded and grouped into five main sections entitled “New Trends in Nanotechnology”, “Techniques and Applications”, “Mathematical Tools”, “Fractional Mod
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