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math.CV2025
On slice regular fractal-fractional Dirichlet type spaces
José Oscar González-Cervantes, Carlos Alejandro Moreno-Muñoz, Juan Bory-Reyes
In this paper, we study some families of right modules of quaternionic slice regular functions induced by a generalized fractal-fractional derivative with respect to a truncated qu…
math.CV2025
On quaternionic analysis and a certain generalized fractal-fractional -Fueter operator
Juan Adrián Ramírez-Belman, José Oscar González-Cervantes, Juan Bory-Reyes
This paper introduce a fractal ψ-Fueter operator in the quaternionic context inspired in the concepts of proportional derivative and Hausdorff derivative (fractal derivative) of a…