Applications Of Fractional Calculus In Physics

by Rudolf Hilfer (Editor)

Overview

Fractional calculus is a collection of relatively little-known mathematical results concerning generalizations of differentiation and integration to noninteger orders. While these results have been accumulated over centuries in various branches of mathematics, they have until recently found little appreciation or application in physics and other mathematically oriented sciences. This situation is beginning to change, and there are now a growing number of research areas in physics which employ fractional calculus.This volume provides an introduction to fractional calculus for physicists, and collects easily accessible review articles surveying those areas of physics in which applications of fractional calculus have recently become prominent.

Product Details

ISBN-13:	9789810234577
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	03/07/2000
Pages:	472
Product dimensions:	6.36(w) x 8.87(h) x 1.19(d)

Editorial Reviews

Nine independent treatments that have been only lightly edited to retain the diverse styles and levels of formalization in the different areas of application. A unifying theme is that fractional derivatives arise as the infinitesimal generators of a class of translation- invariant convolution semigroups, which appear universally as attractors for coarse graining procedures or scale change, and are parametrized by a number in the unit interval corresponding to the order of the fractional derivative. After an introduction to fractional calculus, the topics include fractional time evolution, the fractional kinetics of Hamiltonian chaotic systems, and applications to problems in polymer physics and rheology. There is no index. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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