Abstract:We analyze the dissipation inequality for the constitutive equation of a complex order fractional Zener model and obtain appropriate thermodynamical restrictions for the wave-type model equation in terms of its Laplace transform. These constraints obtained on the model parameters are less restrictive than the ones known in the previous literature. The main results of this paper are related to explicitly solving this equation in spaces of tempered distributions, proving the existence and uniqueness of the solut… Show more
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