In order to preserve more edge and texture information of image while obtaining higher value of signal-to-noise, the image denoising model based on space fractional partial differential equations was constructed by the effective combination of fractional calculus theory and partial differential equations method, and the numerical of denoising model was achieved using fractional differential mask operator. This denoising model could solve existing problems of the traditional denoising model to a certain extent by introducing the edge stopping function to the parameters of fractional grads modulus and selecting the appropriate order of fractional differential. The experimental results showed that compared with the traditional image denoising models, the image denoising model based on space fractional partial differential equations not only enhanced the signal-to-noise ratio of image but also better retained the edge and texture details information of image.
