@unpublished{55607,
  author       = {{Hariz Belgacem, Khaled and Ober-Blöbaum, Sina and Jiménez, Fernando }},
  title        = {{{Fractional variational integrators based on convolution quadrature}}},
  year         = {{2024}},
}

@phdthesis{55605,
  author       = {{Hariz Belgacem, Khaled}},
  title        = {{{High-order embedding formalism, Noether's theorem on time scales and Eringen's nonlocal elastica}}},
  year         = {{2022}},
}

@article{39400,
  abstract     = {{<jats:p> The Eringen’s nonlocal elastica equation does not possess a Lagrangian formulation. In this article, we find a variational integrating factor which enables us to provide a Lagrangian and Hamiltonian structure associated to this equation. Explicit expressions of the solutions in terms of elliptic integrals of the first kind are then deduced. We then derive discrete version of the Eringen’s nonlocal elastica preserving the Lagrangian and Hamiltonian structure and compare it with Challamel’s and co-worker definition of a discrete Eringen’s nonlocal elastica. </jats:p>}},
  author       = {{Cresson, Jacky and Hariz Belgacem, Khaled}},
  issn         = {{1081-2865}},
  journal      = {{Mathematics and Mechanics of Solids}},
  keywords     = {{Mechanics of Materials, General Materials Science, General Mathematics}},
  publisher    = {{SAGE Publications}},
  title        = {{{About the structure of the discrete and continuous Eringen’s nonlocal elastica}}},
  doi          = {{10.1177/10812865221108094}},
  year         = {{2022}},
}

@article{39399,
  author       = {{Anerot, Baptiste and Cresson, Jacky and Hariz Belgacem, Khaled and Pierret, Frederic}},
  issn         = {{0022-2488}},
  journal      = {{Journal of Mathematical Physics}},
  keywords     = {{Mathematical Physics, Statistical and Nonlinear Physics}},
  number       = {{11}},
  publisher    = {{AIP Publishing}},
  title        = {{{Noether’s-type theorems on time scales}}},
  doi          = {{10.1063/1.5140201}},
  volume       = {{61}},
  year         = {{2020}},
}

