Waves in fractional Zener type viscoelastic media
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🧮 math.AP
keywords
equationfractionalsolutionviscoelasticzenercalculatedcasecauchy
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Classical wave equation is generalized for the case of viscoelastic materials obeying fractional Zener model instead of Hooke's law. Cauchy problem for such an equation is studied: existence and uniqueness of the fundamental solution is proven and solution is calculated.
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