Existence and regularity of solutions in \(\alpha \)-norm for some partial functional integrodifferential equations in Banach spaces

DOI10.1007/S40324-020-00221-2OpenAlexW3035520958MaRDI QIDQ827634

Djendode Mbainadji, Issa Zabsonre

Publication date: 13 January 2021

Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40324-020-00221-2

zbMATH Keywords

resolvent operator\(c_0\)-semigrouppartial functional integrodifferential equationsmild and strict solutionsfractional \(\alpha \)-power

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Functional-differential equations in abstract spaces (34K30)

Cites Work

• Unnamed Item
• Existence results in the \(\alpha\)-norm for a class of neutral partial functional integro-differential equations
• Existence and regularity of solutions for some partial functional integrodifferential equations in Banach spaces
• Semigroups of linear operators and applications to partial differential equations
• Analytic resolvent operators for integral equations in Banach space
• Some considerations for linear integrodifferential equations
• Logarithmically improved regularity criterion for the Boussinesq equations in Besov spaces with negative indices
• Existence, Stability, and Compactness in the α-Norm for Partial Functional Differential Equations
• A new regularity criterion for the nematic liquid crystal flows
• Resolvent Operators for Integral Equations in a Banach Space

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