Unified Theory for Fractional and Entire Differential Operators An Approach via Differential Quadruplets and Boundary Restriction Operators /
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 classe...
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| Autor principal: | |
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| Autor Corporativo: | |
| Formato: | Recurso Electrónico livro electrónico |
| Idioma: | inglês |
| Publicado em: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2024.
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| Edição: | 1st ed. 2024. |
| Colecção: | Frontiers in Elliptic and Parabolic Problems,
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| Assuntos: | |
| Acesso em linha: | https://doi.org/10.1007/978-3-031-58356-8 |
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Sumário:
- Introduction
- Background on Functional Analysis
- Background on Fractional Calculus
- Differential Triplets on Hilbert Spaces
- Differential Quadruplets on Banach Spaces
- Fractional Differential Triplets and Quadruplets on Lebesgue Spaces
- Endogenous Boundary Value Problems
- Abstract and Fractional Laplace Operators.