Dettaglio del documento
Unified theory for fractional and entire differential operators : an approach via differential quadruplets and boundary restriction operators
Abstract
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.
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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)
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| eBook | ||
| Monografia | ||
| Description | *Unified theory for fractional and entire differential operators : an approach via differential quadruplets and boundary restriction operators / Arnaud Rougirel. - Cham : Birkhäuser, 2024. - 1 testo elettronico (XII, 496 p. : ill.) | |
| ISBN E-Book | 9783031583568 | |
| Series | Frontiers in mathematics | |
| Frontiers in Elliptic and Parabolic Problems | ||
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| Subjects | 35R11 - Fractional partial differential equations [MSC 2020] | |
| Parole chiave |
Abstract Differential Equations
Boundary Restriction Operators Differential quadruplets Differential triplets Endogenous boundary conditions Fractional Calculus Fractional Derivatives Fractional analysis Fractional boundary value problems Fractional differential operators |
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| Publication place | Cham | |
| Publisher | Birkhäuser <editore> | |
| Publication year | 2024 | |
| Thesaurus | 35R11 | |
| Fractional partial differential equations [MSC 2020] |