Fractional Differentiation Inequalities

Anastassiou, George A.

In this book the author presents the Opial, Poincaré, Sobolev, Hilbert, and Ostrowski fractional differentiation inequalities. Results for the above are derived using three different types of fractional derivatives, namely by Canavati, Riemann-Liouville and Caputo. The univariate and multivariate cases are both examined. Each chapter is self-contained. The theory is presented systematically along with the applications. The application to information theory is also examined.

This monograph is suitable for researchers and graduate students in pure mathematics. Applied mathematicians, engineers, and other applied scientists will also find this book useful.

Details

Published by: Springer

Publication Date: 2009-06-04

Format: Hardcover

ISBN-13: 9780387981277

DOI: 10.1007/978-0-387-98128-4

Dimensions: 235cm x155cm

Pages: 686