On quaternionic analysis and a certain generalized fractal-fractional $ψ$-Fueter operator

Abstract: This paper introduce a fractional-fractal $\psi$-Fueter operator in the quaternionic context inspired in the concepts of proportional fractional derivative and Hausdorff derivative of a function with respect to a fractal measure. Moreover, we establish the corresponding Stokes and Borel-Pompeiu formulas associated to this generalized fractional-fractal $\psi$-Fueter operator.