A New Fractional-Order Mask for Image Edge Detection Based on Caputo–Fabrizio Fractional-Order Derivative Without Singular Kernel

In this work, we consider the Caputo–Fabrizio fractional-order derivative to generalize the first-order Sobel operator. The resulting fractional mask is used to carry out edge analysis of medical images. The implementation of this method will allow enhancing the study, and the monitoring of diseases such as breast cancer, benign cyst, and breast calcifications, among others, to properly treat these diseases. The experimental results showed that the proposed operator gives superior performance over conventional integer-order operators because it can detect more edge details feature of the medical images, as well as it is more robust to noise.