Convoluted fractional \(C\)-semigroups and fractional abstract Cauchy problems
Summary: 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.
scientific article; zbMATH DE number 7022218
scientific article