English

Existence of solution for a class of fractional Hamiltonian systems

Analysis of PDEs 2012-12-27 v1

Abstract

In this work we want to prove the existence of solution for a class of fractional Hamiltonian systems given by {eqnarray*}_{t}D_{\infty}^{\alpha}(_{-\infty}D_{t}^{\alpha}u(t)) + L(t)u(t) = & \nabla W(t,u(t)) u\in H^{\alpha}(\mathbb{R}, \mathbb{R}^{N}) {eqnarray*}

Keywords

Cite

@article{arxiv.1212.5811,
  title  = {Existence of solution for a class of fractional Hamiltonian systems},
  author = {César Torres},
  journal= {arXiv preprint arXiv:1212.5811},
  year   = {2012}
}