Abstract
In this paper, we investigate radial symmetry and monotonicity of positive solutions to a logarithmic Choquard equation involving a general-ized nonlinear tempered fractional p-Laplacian operator by applying the di-rect method of moving planes. We first introduce a new kind of tempered fractional p-Laplacian (-Delta - lambda(f))(p)(s) based on tempered fractional Laplacian (Delta + lambda)(beta/2), which was originally defined in [3] by Deng et.al [Boundary prob-lems for the fractional and tempered fractional operators, Multiscale Model. Simul., 16(1)(2018),125-149]. Then we discuss the decay of solutions at infinity and narrow region principle, which play a key role in obtaining the main result by the process of moving planes.