The motivation behind this extension to the differential operator is that the semigroup of powers "D""a" will form a "continuous" semigroup with parameter "a", inside which the original "discrete" semigroup of "D""n" for integer "n" can be recovered as a subgroup.
The motivation behind this extension to the differential operator is that the semigroup of powers "D""a" will form a "continuous" semigroup with parameter "a", inside which the original "discrete" semigroup of "Dn" for integer "n" can be recovered as a subgroup.