Asymptotic Radial Solution of Parabolic Tempered Fractional Laplacian Problem

Abstract We study parabolic equation with the tempered fractional Laplacian and logarithmic nonlinearity by direct method of moving planes. first prove several important theorems, such as asymptotic maximum principle, narrow region principle strong for antisymmetric functions, which are critical factors in process Then, we further derive some properties radial solution to a unit ball. These consequences can be applied investigate more nonlinear nonlocal equations.