a-times integrated semigroups and fractional derivation

DOI10.1515/form.2002.004zbMath0999.47029OpenAlexW1971718851MaRDI QIDQ2769468

Pedro José Miana

Publication date: 6 February 2002

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/form.2002.004

zbMATH Keywords

functional calculusvector-valued Laplace transform\(\alpha\)-times integrated semigroupsfractional powers of the infinitesimal generatorsmooth distribution semigroups

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Integrated semigroups (47D62)

Related Items (12)

The complex inversion formula in UMD spaces for families of bounded operators ⋮ Integrated semigroups and \(C\)-semigroups and their applications ⋮ Extension problem and fractional operators: semigroups and wave equations ⋮ Nyman type theorem in convolution Sobolev algebras ⋮ Integrated Exponential Functions, the Weyl Fractional Calculus and the Laplace Transform ⋮ Sharp extensions for convoluted solutions of abstract Cauchy problems ⋮ Convoluted fractional \(C\)-semigroups and fractional abstract Cauchy problems ⋮ Estimates of the Laplace transform on convolution Sobolev algebras ⋮ Uniformly bounded limit of fractional homomorphisms ⋮ One-parameter groups of regular quasimultipliers ⋮ RKH spaces of Brownian type defined by Cesàro-Hardy operators ⋮ Algebra homomorphisms defined via convoluted semigroups and cosine functions

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• Singular perturbation and boundary layer for an abstract Cauchy problem
• An Approach to Fractional Powers of Operators via Fractional Differences

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