Fractional calculus models and numerical methods.

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 applic...

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Bibliographic Details
Main Authors: Baleanu, Dumitru, Diethelm, Kai, Scalas, Enrico, Trujillo, Juan J
Format: eBook Book
Language:English
Published: Hackensack, N.J World Scientific Publishing Co. Pte. Ltd 2012
World Scientific
World Scientific Publishing Company
WORLD SCIENTIFIC
World Scientific Publishing
Series:Series on complexity, nonlinearity and chaos
Subjects:
Applied Mathematics
Fractional calculus
Numerical & Computational Mathematics
Probability & Statistics
Pure Mathematics
SCIENCE
Euler-Lagrange Equations
Fractional Dynamic Systems
Ordinary and Partial Fractional Differential Equations
Fractional Linear Multistep Method
Numerical Methods
Semi-Analytics Methods
Fractional Hamiltonian Dynamics
Fractional Calculus
Continuous Time Random Walk, Finance and Economics
Riemann-Liouville Derivative
Hadamard Derivative
Generalized Stirling Functions
Fractional Variational Principles
Caputo Derivative
Adams Method
Method of Lines
ISBN:9789814355209, 9814355208, 9814355216, 9789814355216
Online Access:Get full text
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Description
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 of elementary functions, and so on.
Bibliography:Includes bibliographical references and index
ISBN:9789814355209
9814355208
9814355216
9789814355216
DOI:10.1142/8180