Energy dissipation for hereditary and energy conservation for non-local fractional wave equations

@article{Zorica2020EnergyDF,
  title={Energy dissipation for hereditary and energy conservation for non-local fractional wave equations},
  author={Du{\vs}an Zorica and Ljubica Oparnica},
  journal={Philosophical Transactions of the Royal Society A},
  year={2020},
  volume={378}
}
Using the method of a priori energy estimates, energy dissipation is proved for the class of hereditary fractional wave equations, obtained through the system of equations consisting of equation of motion, strain and fractional order constitutive models, that include the distributed-order constitutive law in which the integration is performed from zero to one generalizing all linear constitutive models of fractional and integer orders, as well as for the thermodynamically consistent fractional… 

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    Philosophical Transactions of the Royal Society A
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