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The book delves into the linear time-fractional diffusion-wave equation, emphasizing the integral transform technique and the significance of Mittag-Leffler, Wright, and Mainardi functions in the solutions. It explores the implications of time-nonlocality in flux and gradient relationships, leading to the Caputo fractional derivative. Additionally, it examines generalizations of classical laws and various boundary conditions, offering solutions across multiple spatial dimensions and coordinate systems, including Cartesian, cylindrical, and spherical.
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Linear Fractional Diffusion-Wave Equation for Scientists and Engineers, Yuriy Povstenko
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- 2016
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