Well‐posedness of degenerate fractional integro‐differential equations in vector‐valued functional spaces

DOI10.1002/mana.201900336OpenAlexW3046804157MaRDI QIDQ6057359

Gang Cai, Shang Quan Bu

Publication date: 4 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201900336

zbMATH Keywords

well-posednessFourier multipliervector-valued function spacesdegenerate fractional differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Fractional derivatives and integrals (26A33) Abstract integral equations, integral equations in abstract spaces (45N05) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

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Novel interpolation spaces and maximal‐weighted Hölder regularity results for the fractional abstract Cauchy problem ⋮ Cauchy problem for a fractional anisotropic parabolic equation in anisotropic Hölder spaces

Cites Work

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• Well-posedness of second order degenerate differential equations in vector-valued function spaces
• Maximal ‐regularity for fractional differential equations on the line
• Well‐posedness of fractional integro‐differential equations in vector‐valued functional spaces
• Maximal regularity for degenerate differential equations with infinite delay in periodic vector-valued function spaces

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