A mixed peridynamical approach for beams

In this paper, we introduce a new model for beam-type equations, driven by a mixed operator which is the sum of the classical biharmonic operator with a regional fractional Laplacian. The novelty is the peridynamical approach: the Dirichlet conditions hold in an extended outer domain (the horizon), which describes well the fact that a floor in reinforce concrete is stuck in the wall. We will study the spectral properties of this operator and then study stationary and evolution problems associated to it.