Arnaud rougirel (10 risultati)

paperback. Condizione: Fine.

Condizione: New. pp. 508.

Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. The analysis of these operators comprises:The computation of adjoint operators;The definition of abstract boundary values;The solvability of equations supplemented with inhomogeneous abstract linear boundary conditions;The analysis of fractional inhomogeneous Dirichlet Problems.As a result of this approach, two striking consequences are highlighted: Riemann-Liouville and Caputo operators appear to differ only by their boundary conditions; and the boundary values of functions in the domain of fractional operators are closely related to their kernel.Unified Theory for Fractional and Entire Differential Operators will appeal to researchers in analysis and those who work with fractional derivatives. It is mostly self-contained, covering the necessary background in functional analysis and fractional calculus.…

Taschenbuch. Condizione: Neu. Unified Theory for Fractional and Entire Differential Operators | An Approach via Differential Quadruplets and Boundary Restriction Operators | Arnaud Rougirel | Taschenbuch | Frontiers in Mathematics | xii | Englisch | 2024 | Birkhäuser | EAN 9783031583551 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.…

Condizione: new. Questo è un articolo print on demand.

Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. The analysis of these operators comprises:The computation of adjoint operators;The definition of abstract boundary values;The solvability of equations supplemented with inhomogeneous abstract linear boundary conditions;The analysis of fractional inhomogeneous Dirichlet Problems.As a result of this approach, two striking consequences are highlighted: Riemann-Liouville and Caputo operators appear to differ only by their boundary conditions; and the boundary values of functions in the domain of fractional operators are closely related to their kernel.Unified Theory for Fractional and Entire Differential Operators will appeal to researchers in analysis and those who work with fractional derivatives. It is mostly self-contained, covering the necessary background in functional analysis and fractional calculus. 504 pp. Englisch.…

Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 der.…

Condizione: New. Print on Demand pp. 508.

Condizione: New. PRINT ON DEMAND pp. 508.

Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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. The analysis of these operators comprises:The computation of adjoint operators;The definition of abstract boundary values;The solvability of equations supplemented with inhomogeneous abstract linear boundary conditions;The analysis of fractional inhomogeneous Dirichlet Problems.As a result of this approach, two striking consequences are highlighted: Riemann-Liouville and Caputo operators appear to differ only by their boundary conditions; and the boundary values of functions in the domain of fractional operators are closely related to their kernel.Unified Theory for Fractional and Entire Differential Operators will appeal to researchers in analysis and those who work with fractional derivatives. It is mostly self-contained, covering the necessary background in functional analysis and fractional calculus.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 508 pp. Englisch.…