This paper introduces a new hybrid fractional model for image denoising. This proposed model is a combination of two models Rudin–Osher–Fatemi and fractional-order total variation. We try to use the advantages of two mentioned models. In this regard, after introducing an appropriate norm space, we prove the existence and uniqueness of the presented model. Furthermore, finite difference method is employed for numerically solving the obtained equation. Finally, the results illustrate the efficiency of the proposed model that yields good visual effects and a better signal-to-noise ratio.

中文翻译：

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基于整数和分数阶总变异的混合图像降噪方法

本文介绍了一种用于图像去噪的新型混合分数模型。该建议模型是Rudin–Osher–Fatemi和分数阶总方差两个模型的组合。我们尝试利用上述两个模型的优势。在这方面，引入适当的范数空间后，我们证明了所提出模型的存在性和唯一性。此外，采用有限差分法对所得方程进行数值求解。最后，结果说明了所提出模型的效率，该模型产生了良好的视觉效果和更好的信噪比。