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George A. Anastassiou, Advances on Fractional Inequalities (SpringerBriefs in Mathematics.pdf

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George A. Anastassiou, Advances on Fractional Inequalities (SpringerBriefs in Mathematics.pdf

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文档介绍:SpringerBriefs in Mathematics
For further volumes:
ies/10030
e A. Anastassiou
Advances on
Fractional Inequalities
123
e A. Anastassiou
Department of Mathematical Sciences
University of Memphis
Memphis, TN 38152
USA
******@
ISSN 2191-8198 e-ISSN 2191-8201
ISBN 978-1-4614-0702-7 e-ISBN 978-1-4614-0703-4
DOI -1-4614-0703-4
Springer New York Dordrecht Heidelberg London
Library of Congress Control Number: 2011932688
Mathematics Subject Classification (2010): 26A33, 26D10, 26D15
© e A. Anastassiou 2011
All rights reserved. This work may not be translated or copied in whole or in part without the written
permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York,
NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in
connection with any form of information storage and retrieval, electronic adaptation, computer software,
or by similar or dissimilar methodology now known or hereafter developed is forbidden.
The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are
not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject
to proprietary rights.
Printed on acid-free paper
Springer is part of Springer Science+Business Media ()
To my wife Koula and my daughters
Angela and Peggy
The measure of ess for a person is the
magnitude of his/her ability to convert
negative conditions to positive ones and
achieve goals
—The author
Preface
This short monograph is a spin-off of the author’s “Fractional Differentiation
Inequalities,” a research monograph published by Springer, New York, 2009. It
continues plements the earlier book to various interesting and important
directions.
In this short monograph we use primarily the Caputo fractional derivative, as
the most important in applications, and we present first fractional differentiation
inequaliti

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