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The fractional calculus : theory and applications of differentiation and integration to arbitrary order /

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrang...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Oldham, Keith B.
Otros Autores: Spanier, Jerome, 1930-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Academic Press, 1974.
Colección:Mathematics in science and engineering ; v. 111.
Temas:
Acceso en línea:Texto completo
Texto completo
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Tabla de Contenidos:
  • Introduction
  • Differentiation and integration to the integer order
  • Fractional derivatives and integrals : definitions and equivalences
  • Differentigration of simple functions
  • General properties
  • Differintegration of more complex functions
  • Semiderivatives and semiintegral
  • Techniques in the fractional calculus
  • Representation of transcendental functions
  • Applications in the classical calculus
  • Applications to diffusion problems.