A numerical approximation for the Caputo-Hadamard derivative and its application in time-fractional variable-coefficient diffusion equation
DOI10.3934/DCDSS.2024027zbMATH Open1542.65095MaRDI QIDQ6584850
Publication date: 8 August 2024
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Fractional partial differential equations (35R11)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Essay on the study of functions defined by their Taylor expansion.
- Stability and logarithmic decay of the solution to Hadamard-type fractional differential equation
- Well-posedness and regularity of Caputo-Hadamard fractional stochastic differential equations
- The blow-up and global existence of solution to Caputo-Hadamard fractional partial differential equation with fractional Laplacian
- Numerical approaches to Caputo-Hadamard fractional derivatives with applications to long-term integration of fractional differential systems
- A class of time-fractional diffusion equations with generalized fractional derivatives
- A second-order scheme with nonuniform time grids for Caputo-Hadamard fractional sub-diffusion equations
- Logarithmic Jacobi collocation method for Caputo-Hadamard fractional differential equations
- Finite difference methods for Caputo-Hadamard fractional differential equations
- Mathematical analysis and the local discontinuous Galerkin method for Caputo-Hadamard fractional partial differential equation
- Logarithmic transformation between (variable-order) Caputo and Caputo-Hadamard fractional problems and applications
- Optimal a priori error estimates for the \(hp\)-version of the local discontinuous Galerkin method for convection-diffusion problems
- An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data
- Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities
- Analysis of a Local Discontinuous Galerkin Method for Linear Time-Dependent Fourth-Order Problems
- Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
- Blow-up of error estimates in time-fractional initial-boundary value problems
- A Second-Order Scheme with Nonuniform Time Steps for a Linear Reaction-Subdiffusion Problem
- Theory and Numerical Approximations of Fractional Integrals and Derivatives
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- Mathematical analysis of the Hadamard-type fractional Fokker-Planck equation
- On the fractional Lyapunov exponent for Hadamard-type fractional differential system
- The Allen-Cahn equation with a time Caputo-Hadamard derivative: mathematical and numerical analysis
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