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Linear Fractional Diffusion-Wave Equation for Scientists and Engineers

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Linear Fractional Diffusion-Wave Equation for Scientists and Engineers
  • Forlagets pris kr. 1.019,95
  • Leveringstid 2-4 uger
  • Forventet levering 18-07-2018
  • Bog, paperback (kr. 709,95) (kr. 709,95)
    1. Beskrivelse

      1 Paperback 214 Illustrations, color; 7 Illustrations, black and white; XIV, 460 p. 221 illus., 214 illus. in color.

      Andre udgaver:

      Bog, hardback
      E-bog, PDF

    2. Yderligere info
      Udgivelsesdato:
      04-11-2016
      Sprog:
      Engelsk
      ISBN13:
      9783319373492
      Sidetal:
      474
      Vægt:
      724 g
      Højde:
      24 mm
      Bredde:
      155 mm
      Længde:
      235 mm
      Mærkat:
      Bog, paperback
      Format:
      Paperback
      Udgave:
      Softcover reprint of the original 1st ed. 2015
      • Bibliotekernes beskrivelse

        This book systematically presents solutions to the linear time-fractional diffusion-wave equation. It introduces the integral transform technique and discusses the properties of the Mittag-Leffler, Wright, and Mainardi functions that appear in the solutions. The time-nonlocal dependence between the flux and the gradient of the transported quantity with the "long-tail" power kernel results in the time-fractional diffusion-wave equation with the Caputo fractional derivative. Time-nonlocal generalizations of classical Fourier's, Fick's and Darcy's laws are considered and different kinds of boundary conditions for this equation are discussed (Dirichlet, Neumann, Robin, perfect contact). The book provides solutions to the fractional diffusion-wave equation with one, two and three space variables in Cartesian, cylindrical and spherical coordinates.The respective sections of the book can be used for university courses on fractional calculus, heat and mass transfer, transport processes in porous media and fractals for graduate and postgraduate students. The volume will also serve as a valuable reference guide for specialists working in applied mathematics, physics, geophysics and the engineering sciences.

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