Some Grönwall inequalities for a class of discretizations of time fractional equations on nonuniform meshes
From MaRDI portal
Publication:6622684
DOI10.1137/24m1631614MaRDI QIDQ6622684
Lei Li, Tao Tang, Yuanyuan Feng, Jian-Guo Liu
Publication date: 22 October 2024
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Fractional derivatives and integrals (26A33) Numerical methods for initial value problems involving ordinary differential equations (65L05) Fractional ordinary differential equations (34A08)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- A note on one-dimensional time fractional ODEs
- Fractional stochastic differential equations satisfying fluctuation-dissipation theorem
- Continuous and discrete one dimensional autonomous fractional ODEs
- Chaos, fractional kinetics, and anomalous transport
- Discretization with variable time steps of an evolution equation with a positive-type memory term
- Generalized monotone iterative technique for Caputo fractional differential equation with periodic boundary condition via initial value problem
- Complete monotonicity-preserving numerical methods for time fractional ODEs
- Linearized Galerkin FEMs for nonlinear time fractional parabolic problems with non-smooth solutions in time direction
- Finite difference/spectral approximations for the time-fractional diffusion equation
- On Volterra integral equations with nonnegative integrable resolvents
- A symmetric fractional-order reduction method for direct nonuniform approximations of semilinear diffusion-wave equations
- Some Compactness Criteria for Weak Solutions of Time Fractional PDEs
- Convolution quadrature time discretization of fractional diffusion-wave equations
- Asymptotic Behavior of Solutions of Nonlinear Volterra Equations with Completely Positive Kernels
- Abstract Linear and Nonlinear Volterra Equations Preserving Positivity
- A Generalized Definition of Caputo Derivatives and Its Application to Fractional ODEs
- 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
- Fractional Differential Equations
- On Energy Dissipation Theory and Numerical Stability for Time-Fractional Phase-Field Equations
- A Discretization of Caputo Derivatives with Application to Time Fractional SDEs and Gradient Flows
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- Bernstein functions. Theory and applications
- Discrete Gradient Structure of a Second-Order Variable-Step Method for Nonlinear Integro-Differential Models
- Positive definiteness of real quadratic forms resulting from the variable-step \(\mathrm{L}1\)-type approximations of convolution operators
- A class of monotonicity-preserving variable-step discretizations for Volterra integral equations
- On the completely positive kernels for nonuniform meshes
This page was built for publication: Some Grönwall inequalities for a class of discretizations of time fractional equations on nonuniform meshes
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6622684)