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On linear viscoelasticity within general fractional derivatives without singular kernel

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The Riemann-Liouville and Caputo-Liouville fractional derivatives without singular kernel are proposed as mathematical tools to describe the mathematical models in line viscoelasticity in the present article. The fractional mechanical models… Click to show full abstract

The Riemann-Liouville and Caputo-Liouville fractional derivatives without singular kernel are proposed as mathematical tools to describe the mathematical models in line viscoelasticity in the present article. The fractional mechanical models containing the Maxwell and Kelvin-Voigt elements are graphically discussed with the Laplace transform. The results are accurate and efficient to reveal the complex behaviors of the real materials.

Keywords: without singular; singular kernel; linear viscoelasticity; fractional derivatives; derivatives without

Journal Title: Thermal Science
Year Published: 2017

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