2 papers
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…
math.CV2023
A bicomplex proportional fractional weighted Cauchy-Riemann operator using Riemann-Liouville derivatives with respect to an hyperbolic-valued function
José Oscar González-Cervantes, Juan Adrián Ramírez-Belman, Juan Bory-Reyes
Based on the Riemann-Liouville derivatives with respect to functions taking values in the set of hyperbolic numbers, we consider a novel bicomplex proportional fractional $(\varthe…