文档介绍：Lecture Notes in Electrical Engineering
Volume 84
For further volumes:
ies/7818
Manuel Duarte Ortigueira
Fractional Calculus for
Scientists and Engineers
123
Manuel Duarte Ortigueira
Faculdade de Ciências/ologia da UNL
UNINOVA and DEE
Campus da FCT Quinta da Torre
2829-516 Caparica
Portugal
e-mail: ******@
ISSN 1876-1100 e-ISSN 1876-1119
ISBN 978-94-007-0746-7 e-ISBN 978-94-007-0747-4
DOI -94-007-0747-4
Springer Dordrecht Heidelberg London New York
Ó Springer Science+Business Media . 2011
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 puter system, for exclusive use by the purchaser of the work.
Cover design: eStudio Calamar, Berlin/Figueres
Printed on acid-free paper
Springer is part of Springer Science+Business Media ()
To the memory of my parents
José Ortigueira and Rita Rosa da Ascenção
Duarte
that did their best for me.
To my children
Eduardo and Joana, and my wife, Laurinda,
for their love and patience.
Preface
Fractional Calculus has been attracting the attention of scientists and engineers
from long time ago, resulting in the development of many applications. Since the
ies of last century fractional calculus is being rediscovered and applied in an
increasing number of fields, namely in several areas of Physics, Control Engi-
neering, and Signal Processing. However, most of the theoretical setup of Frac-
tional Calculus was done by mathematicians that directed their attention preferably
to the so-called Riemann-Liouville and/or Caputo derivatives. We must remark
that most of the articles that appear in the scientific literature, in the framework of
the fractional calculus and their applications, the authors us