The fractional generalization of Bell polynomials, Bell numbers, Dobinski's formula and Stirling numbers of the second kind have been introduced and developed by Nick Laskin (see, Ref. (4)).
The fractional generalization of Bell polynomials, Bell numbers, Dobinski's formula and Stirling numbers of the second kind have been introduced and developed. A new representation of the Bernoulli numbers in terms of fractional Stirling numbers of the second kind has been found (see, Ref. (4)).