Aiming at the halo artifacts caused by traditional hogging image enhancement algorithm, a fractional image enhancement algorithm combining fractional differential and multi-scale Retinex is proposed. The proposed algorithm first processes the original image with a fractional order differential algorithm to preserve its low frequency information, and converts the processed image from the RGB color space to the HSI color space. Then, the Gaussian filter in the multi-scale Retinex algorithm is replaced with a leading filter to extract the luminance component and the reflected component, and the sum of the two components is used as the new luminance layer, and the Gamma correction function is used for the saturation layer. Finally, the HSI image is converted back to RGB image. An objective evaluation method is used to evaluate the effectiveness of the algorithm. The experimental results show that the proposed algorithm has high efficiency and no halo artifacts present in the processed image.