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math.AP2025
A duality approach to the fractional Laplacian with measure data
Kenneth H. Karlsen, Francesco Petitta, Suleyman Ulusoy
We describe a duality method to prove both existence and uniqueness of solutions to nonlocal problems like with vanishing condition…
math.NA2025
Bayesian Inference for a Time-Fractional HIV Model with Nonlinear Diffusion
Mohamed BenSalah, Salih Tatar, Suleyman Ulusoy
This study investigates an inverse problem associated with a time-fractional HIV infection model incorporating nonlinear diffusion. The model describes the dynamics of uninfected t…