In this paper, automatic element matching technology using the MATLAB platform, which is based on the fractional order, is deeply studied, with a focus on automatically finding image rotation and scaling parameters. The concept of the fractional order is introduced in the image scaling and rotation manipulation steps. The whole process includes many key steps, such as feature detection, descriptor extraction, descriptor matching and transformation matrix calculation, and each step is carefully designed to ensure high-precision image correction. Through this technology, the system can automatically identify and match the key elements in the image and then calculate the necessary rotation and scaling parameters to realize the automatic correction of the distorted image. Experimental verification shows that this method not only has high accuracy and stability but also performs well in processing various complex images. This achievement has shown extensive application potential and important practical value in many fields, such as image analysis, image recognition and visual effects application, and is expected to provide strong support for scientific research and technological innovation in related fields.