2005Pre-publicaciones del Seminario Matemático " García de Galdeano "Requires access

Some applications of fractional calculus to operator semigroups and functional calculus

José Esteban Galé Gimeno

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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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What this paper is about

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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Available 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. §

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

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