Linear Fractional Diffusion-Wave Equation for Scientists and Engineers

Name: Linear Fractional Diffusion-Wave Equation for Scientists and Engineers
Brand: Birkhauser
SKU: 9783319179537
Price: 275.77 RON
Availability: InStock

Autor: Yuriy Povstenko

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Legare: Copertă tare

Editura: Birkhauser

Disponibilitate: În depozitul extern

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275.77 lei

This book systematically presents solutions to the linear time-fractional diffusion-wave equation, w...

Informații despre carte

Autor

Yuriy Povstenko

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2015

Pagini

460

EAN

9783319179537

ISBN

3319179535

Enbook ID

09255711

Editura

Birkhauser

Greutate

8336

Dimensiuni

155 x 235 x 242

Descriere completă

This book systematically presents solutions to the linear time-fractional diffusion-wave equation, which describes different physical phenomena and interpolates the Helmholtz equation and the classical diffusion equation, on the one hand, and the standard diffusion equation and the wave equation on the other. 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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Linear Fractional Diffusion-Wave Equation for Scientists and Engineers

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