Fractional radial heat conduction in an infinite medium with a cylindrical cavity and associated thermal stresses
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Publication:366528
DOI10.1016/j.mechrescom.2010.04.006zbMath1272.74140OpenAlexW1970215638MaRDI QIDQ366528
Publication date: 13 September 2013
Published in: Mechanics Research Communications (Search for Journal in Brave)
Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0093641310000509
Mittag-Leffler functionsthermal stressesfractional derivativenon-Fourier heat conductionfractional differential equation
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Cites Work
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- On the propagation of second-sound in linear and nonlinear media: results from Green-Naghdi theory
- Effects of thermal relaxations on thermoelastic interactions in an infinite orthotropic elastic medium with a cylindrical cavity
- Axisymmetric thermoelastic interactions in an unbounded body with cylindrical cavity
- Thermoelasticity without energy dissipation
- Power spectra and random walks in intermittent chaotic systems
- Axisymmetric thermoelastic interactions without energy dissipation in an unbounded body with cylindrical cavity
- Generalized thermoelastic infinite medium with cylindrical cavity subjected to moving heat source
- Fractional radial diffusion in an infinite medium with a cylindrical cavity
- Thermoelasticity with Second Sound: A Review
- Fractional heat conduction equation and associated thermal stresses in an infinite solid with spherical cavity
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
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