Space-time fractional Zener wave equation.
نویسندگان
چکیده
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 investigated and numerical examples are presented.
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ورودعنوان ژورنال:
- Proceedings. Mathematical, physical, and engineering sciences
دوره 471 2174 شماره
صفحات -
تاریخ انتشار 2015