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Found 2 from your keywords: author=Yuriy Povstenko
cover
Fractional Thermoelasticity
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Yuriy Povstenko

This book is devoted to fractional thermoelasticity, i.e. thermoelasticity based on the heat conduction equation with differential operators of fractional order. Readers will discover how time-fractional differential operators describe memory effects and space-fractional differential operators deal with the long-range interaction. Fractional calculus, generalized Fourier law, axisymmetric and c…

Edition
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ISBN/ISSN
978-3-319-15335-3
Collation
XII, 253 pages
Series Title
Solid Mechanics and Its Applications
Call Number
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cover
Linear Fractional Diffusion-Wave Equation for Scientists and Engineers
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Yuriy Povstenko

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 i…

Edition
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ISBN/ISSN
978-3-319-17954-4
Collation
-
Series Title
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Call Number
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