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- Title
ON LINEAR VISCOELASTICITY WITHIN GENERAL FRACTIONAL DERIVATIVES WITHOUT SINGULAR KERNEL.
- Authors
Feng GAO; Xiao-Jun YANG; MOHYUD-DIN, Syed Tauseef
- 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.
- Subjects
MATHEMATICAL models of viscoelasticity; FRACTIONAL calculus; KERNEL (Mathematics); LAPLACE transformation; POWER law (Mathematics)
- Publication
Thermal Science, 2017, Vol 21, pS335
- ISSN
0354-9836
- Publication type
Article
- DOI
10.2298/TSCI170308197G