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Title Fractional calculus : models and numerical methods / Dumitru Baleanu [and others].

Publication Info. Singapore ; London : World Scientific.

Item Status

Description 1 online resource (xxiv, 400 pages) : illustrations.
Physical Medium monochrome
Description text file
Series Series on complexity, nonlinearity, and chaos ; vol. 3
Series on complexity, nonlinearity and chaos ; v. 3.
Note Made available through World Scientific e-Books.
Summary The subject of fractional calculus and its applications (that is, convolution-type pseudo-differential operators including integrals and derivatives of any arbitrary real or complex order) has gained considerable popularity and importance during the past three decades or so, mainly due to its applications in diverse fields of science and engineering. These operators have been used to model problems with anomalous dynamics, however, they also are an effective tool as filters and controllers, and they can be applied to write complicated functions in terms of fractional integrals or derivatives o.
Contents Preface; 1. Preliminaries; 1.1 Fourier and Laplace Transforms; 1.2 Special Functions and Their Properties; 1.2.1 The Gamma function and related special functions; 1.2.2 Hypergeometric functions; 1.2.3 Mittag-Leffler functions; 1.3 Fractional Operators; 1.3.1 Riemann-Liouville fractional integrals and fractional derivatives; 1.3.2 Caputo fractional derivatives; 1.3.3 Liouville fractional integrals and fractional derivatives. Marchaud derivatives; 1.3.4 Generalized exponential functions; 1.3.5 Hadamard type fractional integrals and fractional derivatives.
Local Note eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject Fractional calculus.
Fractional calculus.
Genre/Form Electronic books.
Electronic books.
Added Author Baleanu, D. (Dumitru)
ISBN 9789814355216 (electronic book)
9814355216 (electronic book)
1280669527
9781280669521
9789814355209
9814355208