文档介绍：ADVANCES IN FRACTIONAL CALCULUS
Advances in Fractional Calculus
Theoretical Developments and Applications
in Physics and Engineering
edited by
J. Sabatier
Université de Bordeaux I
Talence, France
O. P. Agrawal
Southern Illinois University
Carbondale, IL, USA
and
J. A. Tenreiro Machado
Institute of Engineering of Porto
Portugal
A . Catalogue record for this book is available from the Library of Congress.
ISBN
13 978
1
4020
6041
0 (HB)
ISBN
13 978
1
4020
6042
7 (e
book)
Published by Springer,
. Box 17, 3300 AA Dordrecht, herlands.
Printed on acid
free paper
The views and opinions expressed in all the papers of this book are the
authors’ personal one.
The copyright of the individual papers belong to the authors. Copies cannot
be reproduced mercial profit.
All Rights Reserved
© 2007 Springer
No part of this work may be reproduced, stored in a retrieval system, or transmitted
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or otherwise, without written permission from the Publisher, with the exception
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and executed on puter system, for exclusive use by the purchaser of the work.
We dedicate this book to the honorable memory of our
colleague and friend Professor Peter W. Krempl
iii
Table of Contents
Preface.......................................................................................................xi
1. Analytical and Numerical Techniques................ 1
Three Classes of FDEs Amenable to Approximation Using a Galerkin
Technique ...................................................................................................3
S. J. Singh, A. Chatterjee
Enumeration of the Real Zeros of the Mittag-Leffler Function E
(z),
1 <
< 2....................................................................................................15
J. W. Hanneken, D. M. Vaught, B. N. Narahar