On Quaternionic Analysis and a Certain Generalized Fractal-Fractional ψ-Fueter Operator

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Abstract

This paper introduce a fractional-fractal ψ-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 ψ-Fueter operator.

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