fractional; diffusion; image processing; Fuzzy transform

In recent decades, fractional diffusion equations have found numerous applications in various scientific fields, particularly in industry, medicine, and finance, and especially in computer science, specifically image processing. This paper focuses on the fractional diffusion model and proposes a numerical method known as Fuzzy transform, to approximate its solution. The stability and convergence of the method are rigorously analyzed. Numerical results show that the method achieves a good balance between computational efficiency and accuracy. Thus, confirming its suitability for hybrid computing environments that combine artificial intelligence and numerical methods.

In recent decades, fractional diffusion equations have found numerous applications in various scientific fields, particularly in industry, medicine, and finance, and especially in computer science, specifically image processing. This paper focuses on the fractional diffusion model and proposes a numerical method known as Fuzzy transform, to approximate its solution. The stability and convergence of the method are rigorously analyzed. Numerical results show that the method achieves a good balance between computational efficiency and accuracy. Thus, confirming its suitability for hybrid computing environments that combine artificial intelligence and numerical methods.