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Fractional calculus : models and numerical methods

Detalles Bibliográficos
Otros Autores: Baleanu, D. (Dumitru)
Formato: Libro
Lenguaje:English
Publicado: Singapore ; Hackensack, NJ : World Scientific, ©2012.
Colección:Series on complexity, nonlinearity, and chaos ; vol. 3
Materias:
Tabla de Contenidos:
  • 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