Maximal regularity for fractional Cauchy equation in Hölder space and its approximation

DOI10.1515/cmam-2018-0185OpenAlexW2914790591MaRDI QIDQ2297542

Zhenbin Fan, Li Liu, Serguei Piskarev, Gang Li

Publication date: 20 February 2020

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/cmam-2018-0185

zbMATH Keywords

well-posednessmaximal regularityfractional Cauchy problemapproximation of the nonhomogeneous fractional Cauchy problem

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) Linear differential equations in abstract spaces (34G10) Theoretical approximation of solutions to integral equations (45L05)

Related Items (6)

New interpolation spaces and strict Hölder regularity for fractional abstract Cauchy problem ⋮ Hölder regularity for abstract semi-linear fractional differential equations in Banach spaces ⋮ Discrete almost maximal regularity and stability for fractional differential equations in \(L^p([0, 1, \Omega)\)] ⋮ Novel interpolation spaces and maximal‐weighted Hölder regularity results for the fractional abstract Cauchy problem ⋮ Classical solutions to the initial-boundary value problems for nonautonomous fractional diffusion equations ⋮ Well-Posedness and Approximation for Nonhomogeneous Fractional Differential Equations

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