Error estimates of finite element methods for nonlinear fractional stochastic differential equations
DOI10.1186/s13662-018-1665-0zbMath1446.65123OpenAlexW2809270773WikidataQ129638700 ScholiaQ129638700MaRDI QIDQ1712399
Xiaocui Li, Yan-Peng Zhang, Xiao-Yuan Yang
Publication date: 22 January 2019
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-018-1665-0
strong convergenceerror estimatesfinite element methodinitial value problemnonlinear fractional stochastic differential equations
Fractional derivatives and integrals (26A33) 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)
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Cites Work
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- Intermittence and space-time fractional stochastic partial differential equations
- Sobolev-type fractional stochastic differential equations with non-Lipschitz coefficients
- Time-stepping error bounds for fractional diffusion problems with non-smooth initial data
- On the concept and existence of solution for impulsive fractional differential equations
- Jacobian-predictor-corrector approach for fractional differential equations
- Space-time fractional stochastic partial differential equations
- Existence and controllability results for fractional semilinear differential inclusions
- On some fractional stochastic delay differential equations
- Explicit methods for fractional differential equations and their stability properties
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Finite element methods for parabolic stochastic PDE's
- Time fractional diffusion: A discrete random walk approach
- Existence of solutions for nonlinear fractional stochastic differential equations
- A Galerkin finite element method for time-fractional stochastic heat equation
- Fractional time stochastic partial differential equations
- A concise course on stochastic partial differential equations
- Weak convergence of finite element approximations of linear stochastic evolution equations with additive noise. II: Fully discrete schemes
- Almost automorphic mild solutions to fractional differential equations
- Asymptotic properties of some space-time fractional stochastic equations
- Numerical solution of stochastic fractional differential equations
- Approximate controllability of fractional stochastic differential inclusions with nonlocal conditions
- Space-time fractional diffusions in Gaussian noisy environment
- Existence result for fractional neutral stochastic integro-differential equations with infinite delay
- Error Estimates of Finite Element Methods for Stochastic Fractional Differential Equations
- Galerkin Finite Element Approximations for Stochastic Space-Time Fractional Wave Equations
- The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
- Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations
- Error analysis of semidiscrete finite element methods for inhomogeneous time-fractional diffusion
- Optimal error estimates of Galerkin finite element methods for stochastic partial differential equations with multiplicative noise
- The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation
- Galerkin Finite Element Methods for Stochastic Parabolic Partial Differential Equations
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