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We consider the following nonlinear fractional Choquard equation where is a parameter, $s\in (0, 1)0<\mu<2sN\geq 3(-\Delta)^{s}_{A}$ is the fractional magnetic Laplacian, is a smooth magnetic potential, is a positive potential with a local minimum and is a continuous nonlinearity with subcritical growth. By using variational methods we prove the existence and concentration of nontrivial solutions for small enough.

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