Existence of solution for a class of fractional Hamiltonian systems

2012/12/23 by César Torres, Torres, César · 1 citation
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1212.5811

arxiv created 2012/12/23 · arxiv updated 2012/12/27

Abstract

In this work we want to prove the existence of solution for a class of fractional Hamiltonian systems given by eqnarray*_tD_∞^α(_-∞D_t^αu(t)) + L(t)u(t) = & ∇ W(t,u(t)) u∈ H^α(ℝ, ℝ^N) eqnarray*

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