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Yuriy Povstenko
Researcher at Jan Długosz University
Publications - 102
Citations - 2511
Yuriy Povstenko is an academic researcher from Jan Długosz University. The author has contributed to research in topics: Fractional calculus & Heat equation. The author has an hindex of 22, co-authored 95 publications receiving 2181 citations. Previous affiliations of Yuriy Povstenko include National Academy of Sciences & Pedagogical University.
Papers
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Fractional heat conduction equation and associated thermal stress
TL;DR: A quasi-static uncoupled theory of thermoelasticity based on the heat conduction equation with a time-fractional derivative of order α is proposed in this article.
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Fractional catteneo-type equations and generalized thermoelasticity
TL;DR: In this paper, the generalized Cattaneo-type equations with time-fractional derivatives are considered and the corresponding theory of thermal stresses is formulated, interpolating the theory of Lord and Shulman and thermoelasticity without energy dissipation of Green and Naghdi.
Book
Linear Fractional Diffusion-Wave Equation for Scientists and Engineers
TL;DR: Equations with three space variables in Cylindrical Coordinates as discussed by the authors have been shown to be equivalent to Cartesian Equations with two Space Variables in Cartesian Coordinates and Equations in Polar Coordinates.
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Thermoelasticity that uses fractional heat conduction equation
Yuriy Povstenko,Yuriy Povstenko +1 more
TL;DR: A survey of nonlocal generalizations of the Fourier law and heat conduction equation is presented in this article, where more attention is focused on the Heat Conduction with time and space fractional derivatives and on the theory of thermal stresses based on this equation.
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Theory of thermoelasticity based on the space-time-fractional heat conduction equation
TL;DR: In this paper, a theory of thermoelasticity based on the Fourier law and the space-time fractional heat conduction equation is considered, and the proposed theory interpolates classical thermasticity and a thermodynamic model without energy dissipation introduced by Green and Naghdi.