Fractional slice regular functions of a quaternionic variable

The talk is based on the recent accepted paper: Fractional slice regular functions of a quaternionic variable. José Oscar González-Cervantes, Juan Bory-Reyes, Irene Sabadini. Results in Mathematics (2023), in which the theory of quaternionic fractional slice regular functions, in Riemann-Liouville and Caputo senses, as null-solutions of a fractional Cauchy-Riemann operator is presented.