Some applications of fractional calculus to operator semigroups and functional calculus
José Esteban Galé Gimeno
Abstract
José Esteban Galé Gimeno
Abstract
We survey on 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 concrete L examples. §
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We survey on 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 concrete L examples. §
Key concepts: Fractional calculus, Time-scale calculus, Calculus (dental), Holomorphic functional calculus, Functional calculus, Mathematics, Operator (biology), Holomorphic function