Sanja Konjik, Ljubica Oparnica, Dušan Zorica
Abstract
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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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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.
Key concepts: Standard linear solid model, Zener diode, Uniqueness, Viscoelasticity, Type (biology), Mathematical analysis, Cauchy distribution, Initial value problem