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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Hlavní autoři:	Baleanu, Dumitru, Diethelm, Kai, Scalas, Enrico, Trujillo, Juan J
Médium:	E-kniha Kniha
Jazyk:	angličtina
Vydáno:	Hackensack, N.J World Scientific Publishing Co. Pte. Ltd 2012 World Scientific World Scientific Publishing Company WORLD SCIENTIFIC World Scientific Publishing
Edice:	Series on complexity, nonlinearity and chaos
Témata:	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
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Fractional calculus : models and numerical methods -- Contents -- Preface -- Chapter 1: Preliminaries -- Chapter 2: A Survey of Numerical Methods for the Solution of Ordinary and Partial Fractional Differential Equations -- Chapter 3: Efficient Numerical Methods -- Chapter 4: Generalized Stirling Numbers and Applications -- Chapter 5: Fractional Variational Principles -- Chapter 6: Continuous-Time Random Walks and Fractional Diffusion Models -- Chapter 7: Applications of Continuous-Time Random Walks to Finance and Economics -- Appendix A: Source Codes -- Bibliography -- Index -- Advisory Board