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arXiv · 1402.4927

Space-time fractional Zener wave equation

Teodor M. Atanackovic·Marko Janev·Ljubica Oparnica·Stevan Pilipovic·Dusan Zorica
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Abstract

Space-time fractional Zener wave equation, describing viscoelastic materials obeying the time-fractional Zener model and the space-fractional strain measure, is derived and analyzed. 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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Teodor M. Atanackovic, Marko Janev, Ljubica Oparnica, Stevan Pilipovic, Dusan Zorica. 2014-02-20. Space-time fractional Zener wave equation. https://doi.org/10.1098/rspa.2014.0614

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