Steganography is a means to hide information which is mainly confidential in order to avoid leakage of important data. In medical diagnosis it is necessary to hide the medical records of the patients on moral grounds. This research paper applies image steganography using Fractional Random Wavelet Transform (FrRnWT). Using this transform steganography is achieved by embedding the secret image onto a cover image. We make a comparison with another transform, Discrete wavelet transform (DWT), a frequently used to transform images in image steganography. To further increase the security of the information we use Arnold scrambling algorithm to prevent any unauthorized access of information. The performance is analyzed by the computing the following parameters: PSNR and MSE and exposing the system to attacks to compare their imperceptibility and robustness. The results are shown to observe the effectiveness of the proposed method. © 2021 IEEE.