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

This paper introduce a fractal {\psi}-Fueter operator in the quaternionic context inspired in the concepts of proportional derivative and Hausdorff derivative (fractal derivative) of a function with respect to a fractal measure. Moreover, we establish the corresponding Stokes and Borel- Pompeiu formulas associated to this generalized fractal {\psi}-Fueter operator with respect to a vector valued function induced by truncated exponential functions.