Corrected \(L\)-type method for multi-singularity problems arising from delay fractional equations

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) PDEs on time scales (35R07)

Cites Work

Finite time stability of fractional delay differential equations
A new difference scheme for the time fractional diffusion equation
Too much regularity may force too much uniqueness
Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
The tracking of derivative discontinuities in systems of delay- differential equations
A finite difference scheme for partial integro-differential equations with a weakly singular kernel
A general framework for the numerical analysis of high-order finite difference solvers for nonlinear multi-term time-space fractional partial differential equations with time delay
L1 method on nonuniform meshes for linear time-fractional diffusion equations with constant time delay
Analysis and numerical methods for fractional differential equations with delay
A fully discrete difference scheme for a diffusion-wave system
Superconvergence of a Dg Method for First-Order Linear Delay Differential Equations
REGULARITY OF SOLUTIONS TO A TIME-FRACTIONAL DIFFUSION EQUATION
Correction of High-Order BDF Convolution Quadrature for Fractional Evolution Equations
A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems
Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
Numerical Methods for Delay Differential Equations
A Second-Order Scheme with Nonuniform Time Steps for a Linear Reaction-Subdiffusion Problem
Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions
The completely monotonic character of the Mittag-Leffler function 𝐸ₐ(-𝑥)
The tracking of derivative discontinuities for delay fractional equations based on fitted \(L1\) method

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