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This article is to study the nonexistence of global solutions to semi-linearstructurally damped wave equation with nonlinear memory in $\R^n$ for any spacedimensions $n\ge 1$ and for the initial arbitrarily small data being subject tothe positivity assumption. We intend to apply the method of a modified testfunction to establish blow-up results and to overcome some difficulties as wellcaused by the well-known fractional Laplacian $(-\Delta)^{\sigma/2}$ instructural damping terms.

Blow up results for semi-linear structural damped wave model with nonlinear memory