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
LanguageEnglish
Published Hackensack, N.J World Scientific Publishing Co. Pte. Ltd 2012
World Scientific
World Scientific Publishing Company
WORLD SCIENTIFIC
World Scientific Publishing
SeriesSeries 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
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Table of Contents:
  • 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