Convoluted Fractional C-Semigroups and Fractional Abstract Cauchy Problems

الملخص EN

We present the notion of convoluted fractional C-semigroup, which is the generalization of convoluted C-semigroup in the Banach space setting.

We present two equivalent functional equations associated with convoluted fractional C-semigroup.

Moreover, the well-posedness of the corresponding fractional abstract Cauchy problems is studied.