This article proposes a new method for image edge detection based on the combination of fractal and fractional calculus. The method utilizes the properties of fractals and fractional calculus to improve the accuracy and efficiency of edge detection in digital images. The proposed method is based on the calculation of the fractional integral of an image, followed by the application of a fractal-based thresholding algorithm to detect edges. The effectiveness of the proposed method is demonstrated through experiments on a range of digital images. The results show that the proposed method is more accurate and robust than traditional methods such as Sobel, Prewitt, etc. as well some recently developed method based on fractional calculus. The proposed method has potential applications in various fields such as computer vision, medical imaging and remote sensing. The study demonstrates the potential of combining fractal and fractional calculus techniques to improve the accuracy and efficiency of image processing tasks.