Well-Posedness and Approximation for Nonhomogeneous Fractional Differential Equations

DOI10.1080/01630563.2021.1901117zbMath1482.65148OpenAlexW3137684713WikidataQ115302518 ScholiaQ115302518MaRDI QIDQ5005290

Ru Liu, Serguei Piskarev

Publication date: 9 August 2021

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2021.1901117

zbMATH Keywords

implicit schemeexplicit schemediscretization methodsfractional Cauchy problem\(\alpha\)-times resolvent familynonhomogeneous fractional equations

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Fractional partial differential equations (35R11)

Related Items (2)

A finite-difference scheme on a graded mesh for solving Cauchy problems with a fractional Caputo derivative in a Banach space ⋮ Novel interpolation spaces and maximal‐weighted Hölder regularity results for the fractional abstract Cauchy problem

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