Generalized Fractional Cauchy–Riemann Operator Associated with the Fractional Cauchy–Riemann Operator

Abstract:

In this paper, we present a characterization of all linear fractional order partial differential operators with complex-valued coefficients that are associated to the generalized fractional Cauchy–Riemann operator in the Riemann–Liouville sense. To achieve our goal, we make use of the technique of an associated differential operator applied to the fractional case.

Año de publicación:

2020

Keywords:

• generalized analytic functions
• Linear fractional differential system
• Fractional Cauchy–Riemann
• Fractional Calculus
• Associated pair

Fuente:

scopus