Tempered nonlocal integrodifferential equations with nonsmooth solution data

DOI10.1016/J.AML.2024.109213MaRDI QIDQ6592453

Leijie Qiao, Y. Yan

Publication date: 26 August 2024

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

convergence analysisfinite difference methodsmooth and nonsmooth initial datahomogeneous and inhomogeneous casestempered nonlocal integro-differential equations

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11) Numerical analysis (65-XX)

Cites Work

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• Uniform \(l^1\) behavior of the first-order interpolant quadrature scheme for some partial integro-differential equations
• Existence, uniqueness and numerical analysis of solutions of tempered fractional boundary value problems
• Applications of fractional calculus in physics
• Correction of High-Order BDF Convolution Quadrature for Fractional Evolution Equations
• An Analysis of the Modified L1 Scheme for Time-Fractional Partial Differential Equations with Nonsmooth Data
• Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term
• Discretized fractional substantial calculus

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