2007Banach Center PublicationsOpen access

Some applications of fractional calculus to operator semigroups and functional calculus

Jośe E. Galé

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Abstract

We survey some recent results on functional calculus for generators of holomorphic semigroups, which have been obtained using versions of fractional derivation of Riemann-Liouville or Weyl type. Such a calculus allows us to give tight estimates even in c

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We survey some recent results on functional calculus for generators of holomorphic semigroups, which have been obtained using versions of fractional derivation of Riemann-Liouville or Weyl type. Such a calculus allows us to give tight estimates even in c

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Available abstract

We survey some recent results on functional calculus for generators of holomorphic semigroups, which have been obtained using versions of fractional derivation of Riemann-Liouville or Weyl type. Such a calculus allows us to give tight estimates even in c

Key concepts: Fractional calculus, Time-scale calculus, Functional calculus, Calculus (dental), Mathematics, Holomorphic functional calculus, Operator (biology), Type (biology)

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