3 citations · 6 across the 10 of their papers we have counts for
3 papers · 2 filters
Nonlocal Green theorems and Helmholtz decompositions for truncated fractional gradients
José C. Bellido, Javier Cueto, Mikil Foss +1
In this work we further develop a nonlocal calculus theory (initially introduced in [5]) associated with singular fractional-type operators which exhibit kernels with finite suppor…
Eringen's model via linearization of nonlocal hyperelasticity
J. C. Bellido, J. Cueto, C. Mora-Corral
We consider Riesz' fractional gradient and a truncated version of it. The equations of nonlocal nonlinear elasticity based on those gradients are known. We perform a formal lineari…
A variational theory for integral functionals involving finite-horizon fractional gradients
Javier Cueto, Carolin Kreisbeck, Hidde Schönberger
The center of interest in this work are variational problems with integral functionals depending on special nonlocal gradients. The latter correspond to truncated versions of the R…