Convoluted fractional \(C\)-semigroups and fractional abstract Cauchy problems (Q1723924)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Convoluted fractional \(C\)-semigroups and fractional abstract Cauchy problems |
scientific article; zbMATH DE number 7022218
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convoluted fractional \(C\)-semigroups and fractional abstract Cauchy problems |
scientific article; zbMATH DE number 7022218 |
Statements
Convoluted fractional \(C\)-semigroups and fractional abstract Cauchy problems (English)
0 references
14 February 2019
0 references
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.
0 references
convoluted fractional \(C\)-semigroup
0 references
functional equations
0 references
well-posedness
0 references
fractional abstract Cauchy problem
0 references
0 references
0 references
