Micro-local and qualitative analysis of the fractional Zener wave equation
نویسندگان
چکیده
This paper concerns the micro-local and qualitative analysis of fractional Zener wave equation. The classical Gevrey-type front sets fundamental solution are determined, questions on dispersion, dissipation, propagation speed packet shape addressed.
منابع مشابه
Space-time fractional Zener wave equation.
The space-time fractional Zener wave equation, describing viscoelastic materials obeying the time-fractional Zener model and the space-fractional strain measure, is derived and analysed. This model includes waves with finite speed, as well as non-propagating disturbances. The existence and the uniqueness of the solution to the generalized Cauchy problem are proved. Special cases are investigate...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2022
ISSN: ['1090-2732', '0022-0396']
DOI: https://doi.org/10.1016/j.jde.2022.03.006