| 书目名称 | Linear Fractional Diffusion-Wave Equation for Scientists and Engineers | | 编辑 | Yuriy Povstenko | | 视频video | | | 概述 | Presents the first comprehensive resource on the fractional diffusion-wave equation.Explores connections between different physical theories.Includes a wealth of figures illustrating the characteristi | | 图书封面 |  | | 描述 | .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 eng | | 出版日期 | Book 2015 | | 关键词 | Caputo derivative; Fractional calculus; Integral transforms; Mittag-Leffler function; diffusion-wave equ | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-17954-4 | | isbn_softcover | 978-3-319-37349-2 | | isbn_ebook | 978-3-319-17954-4 | | copyright | Springer International Publishing Switzerland 2015 |
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发表于 2025-3-21 19:16:55
