Fractional calculus models and numerical methods.

• 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
• DOI: 10.1142/8180

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.