Steady-state heat conduction in a medium with spatial non-singular fading memory: Derivation of Caputo-Fabrizio space-fractional derivative from Cattaneo concept with Jeffrey`s Kernel and analytical solutions
Starting from the Cattaneo constitutive relation with a Jeffrey's kernel the derivation of a transient heat diffusion equation with relaxation term expressed through the Caputo-Fabrizio time fractional derivative has been developed. This approach allows seeing the physical back ground of the ne...
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| Veröffentlicht in: | Thermal science 2017, Vol.21 (2), p.827-839 |
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| container_title | Thermal science |
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| creator | Hristov, Jordan |
| description | Starting from the Cattaneo constitutive relation with a Jeffrey's kernel the derivation of a transient heat diffusion equation with relaxation term expressed through the Caputo-Fabrizio time fractional derivative has been developed. This approach allows seeing the physical back ground of the newly defined Caputo-Fabrizio time fractional derivative and demonstrates how other constitutive equations could be modified with non-singular fading memories.
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| doi_str_mv | 10.2298/TSCI160229115H |
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nema</description><subject>Conduction heating</subject><subject>Conductive heat transfer</subject><subject>Constitutive equations</subject><subject>Constitutive relationships</subject><subject>Derivation</subject><subject>Exact 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Cattaneo constitutive relation with a Jeffrey's kernel the derivation of a transient heat diffusion equation with relaxation term expressed through the Caputo-Fabrizio time fractional derivative has been developed. This approach allows seeing the physical back ground of the newly defined Caputo-Fabrizio time fractional derivative and demonstrates how other constitutive equations could be modified with non-singular fading memories.
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| ispartof | Thermal science, 2017, Vol.21 (2), p.827-839 |
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| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Free Full-Text Journals in Chemistry |
| subjects | Conduction heating Conductive heat transfer Constitutive equations Constitutive relationships Derivation Exact solutions Fading Kernels |
| title | Steady-state heat conduction in a medium with spatial non-singular fading memory: Derivation of Caputo-Fabrizio space-fractional derivative from Cattaneo concept with Jeffrey`s Kernel and analytical solutions |
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