Author: Igor Podlubny
Publisher: Academic Press
Keywords: fractional, equations, differential, mathematics, engineering, solution, science, derivatives, volume, introduction, methods
Number of Pages: 340
Published: 1998-11-04
List price: $114.00
ISBN-10: 0125588402
ISBN-13: 9780125588409

This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integer-order models to models of an arbitrary order. For historical reasons, the word ’fractional’ is used instead of the word ’arbitrary’.This book is written for readers who are new to the fields of fractional derivatives and fractional-order mathematical models, and feel that they need them for developing more adequate mathematical models.In this book, not only applied scientists, but also

Author: Rudolf Hilfer
Publisher: World Scientific Publishing Company
Keywords: physics, calculus, fractional, applications
Number of Pages: 463
Published: 2000-06
List price: $125.00
ISBN-10: 9810234570
ISBN-13: 9789810234577

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 the mathematics, until recently they have 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, a

Author: George M. Zaslavsky
Publisher: Oxford University Press, USA
Keywords: dynamics, fractional, chaos, hamiltonian
Number of Pages: 436
Published: 2005-02-24
List price: $150.00
ISBN-10: 0198526040
ISBN-13: 9780198526049

The dynamics of realistic Hamiltonian systems has unusual microscopic features that are direct consequences of its fractional space-time structure and its phase space topology. The book deals with the fractality of the chaotic dynamics and kinetics, and also includes material on non-ergodic and non-well-mixing Hamiltonian dynamics. The book does not follow the traditional scheme of most of today’s literature on chaos. The intention of the author has been to put together some of the most complex and yet open problems on the general theory of chaotic systems. The importance of the disc

Author: Virginia S Kiryakova
Publisher: Chapman & Hall
Keywords: applications, calculus, fractional, generalized
Number of Pages: 360
Published: 1993-12-27
List price: $139.95
ISBN-10: 0582219779
ISBN-13: 9780582219779

In this volume various applications are discussed, in particular to the hyper-Bessel differential operators and equations, Dzrbashjan-Gelfond-Leontiev operators and Borel type transforms, convolutions, new representations of hypergeometric functions, solutions to classes of differential and integral equations, transmutation method, and generalized integral transforms. Some open problems are also posed.This book is intended for graduate and post-graduate students, lecturers, researchers and others working in applied mathematical analysis, mathematical physics and related disciplines.

Author: Frank Wilczek
Publisher: World Scientific Publishing Company
Keywords: superconductivity, anyon, statistics, fractional
Number of Pages: 447
Published: 1990-01
List price: $47.00
ISBN-10: 9810200498
ISBN-13: 9789810200497

This collection of articles by specialists in fractional statistics ranges from describing intricate ordered states of condensed matter - and suggesting new ones - to modifying the fundamental principles of black hole physics.

Author: Shove Robinson Clark
Publisher: Blatter Press
Keywords: distillation, fractional, elements
Number of Pages: 504
Published: 2007-03-15
List price: $32.95
ISBN-10: 1406700436
ISBN-13: 9781406700435

Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.

Authors:Leslie P. Steffe, John Olive,
Publisher: Springer
Keywords: knowledge, fractional, children
Number of Pages: 358
Published: 2009-12-04
List price: $159.00
ISBN-10: 1441905901
ISBN-13: 9781441905901

Children’s Fractional Knowledge elegantly tracks the construction of knowledge, both by children learning new methods of reasoning and by the researchers studying their methods. The book challenges the widely held belief that children’s whole number knowledge is a distraction from their learning of fractions by positing that their fractional learning involves reorganizing—not simply using or building upon—their whole number knowledge. This hypothesis is explained in detail using examples of actual grade-schoolers approaching problems in fractions including the schemes they construct to