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math.AP2013★ 6 cited
Non-homogeneous fractional Schrödinger equation
César Torres
In this article we are interested on the non-homogeneous fractional Schrödinger equation \begin{eqnarray}\label{eq00} &(-Δ)^αu(x) + V(x)u(x) = f(u) + h(x) \mbox{ in } \mathbb{R}^{n…
math.AP2013★ 9 cited
Ground state solution for a class of differential equations with left and right fractional derivatives
César Torres
In this work we study the existence of solution for a class of fractional differential equation given by \begin{eqnarray}\label{eq00} _{t}D_{\infty}^α{_{-\infty}}D_{t}^αu(t) + u(t)…