Well-posedness of equations with fractional derivative

DOI10.1007/S10114-010-9231-ZzbMath1213.47046OpenAlexW2132536227MaRDI QIDQ1956490

Shang Quan Bu

Publication date: 22 September 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-9231-z

zbMATH Keywords

Fourier multipliersTriebel-Lizorkin spaceswell-posednessBesov spacesfractional derivativefractional Sobolev space

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Fractional derivatives and integrals (26A33) Functional-differential equations in abstract spaces (34K30) Spectrum, resolvent (47A10) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Multipliers in one variable harmonic analysis (42A45)

Related Items (11)

Normal periodic solutions for the fractional abstract Cauchy problem ⋮ Fundamental solutions of the fractional two-parameter telegraph equation ⋮ The well-posedness of fractional integro-differential equations in complex Banach spaces ⋮ Well-posedness of equations with fractional derivative via the method of sum ⋮ Well-posedness of fractional differential equations on vector-valued function spaces ⋮ Well-posedness of degenerate differential equations with fractional derivative in vector-valued functional spaces ⋮ Periodic solutions of fractional differential equations with delay ⋮ Well-posedness of degenerate fractional differential equations with finite delay in complex Banach spaces ⋮ Well-posedness of fractional differential equations with finite delay in complex Banach spaces ⋮ Well-posedness of fractional degenerate differential equations in Banach spaces ⋮ Mild well-posedness of equations with fractional derivative

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