Well-posedness of fractional differential equations on vector-valued function spaces

DOI10.1007/s00020-011-1895-yzbMath1232.45014OpenAlexW2061875598MaRDI QIDQ649050

Shang Quan Bu

Publication date: 30 November 2011

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-011-1895-y

zbMATH Keywords

well-posednessBanach spaceFourier multipliervector-valued function spacesperiodic fractional integro-differential equationperiodic Hölder continuous functions

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Fractional derivatives and integrals (26A33) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Volterra integral equations (45D05) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (10)

Maximal regularity in \(l_{p}\) spaces for discrete time fractional shifted equations ⋮ On the well-posedness of degenerate fractional differential equations in vector valued function spaces ⋮ lp-maximal regularity for fractional difference equations on UMD spaces ⋮ Bounded mild solutions to fractional integro-differential equations in Banach spaces ⋮ Existence and uniqueness of solutions for a class of discrete-time fractional equations of order \(2<\alpha \leq 3\) ⋮ Well‐posedness of degenerate fractional integro‐differential equations in vector‐valued functional spaces ⋮ A characterization of \(L^p\)-maximal regularity for time-fractional systems in \textit{UMD} spaces and applications ⋮ Lebesgue regularity for nonlocal time-discrete equations with delays ⋮ On maximal regularity for a class of evolutionary equations ⋮ Well posedness for semidiscrete fractional Cauchy problems with finite delay

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