Unified theory for fractional and entire differential operators : an approach via differential quadruplets and boundary restriction operators / Arnaud Rougirel

• Autore: Rougirel, Arnaud
• Pubblicazione: Cham, : Birkhäuser, 2024
• Descrizione fisica: 1 testo elettronico (XII, 496 p. : ill.)
• Soggetto topico: 35R11 - Fractional partial differential equations [MSC 2020]
• Soggetto non controllato: Abstract Differential Equations; Boundary restriction operators; Differential quadruplets; Differential triplets; Endogenous boundary conditions; Fractional Calculus; Fractional analysis; Fractional boundary value problems; Fractional derivatives; Fractional differential operators
• Sommario/riassunto: This monograph proposes a unified theory of the calculus of fractional and standard derivatives by means of an abstract operator-theoretic approach. By highlighting the axiomatic properties shared by standard derivatives, Riemann-Liouville and Caputo derivatives, the author introduces two new classes of objects. The first class concerns differential triplets and differential quadruplets; the second concerns boundary restriction operators. Instances of boundary restriction operators can be generalized fractional differential operators supplemented with homogeneous boundary conditions [...]. (Estratto dal sito dell'editore)
• Titolo autorizzato: Unified Theory for Fractional and Entire Differential Operators
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: VAN00309916
• Lo trovi qui: Univ. Vanvitelli
• Localizzazioni e accesso elettronico: https://doi.org/10.1007/978-3-031-58356-8
• Serie: Frontiers in mathematics Basel [etc.] . -Birkhäuser , 2004-; Frontiers in Elliptic and Parabolic Problems Cham [etc.] . -Birkhäuser , 2021-