| Publication | Date of Publication | Type |
|---|
| A Sharp $\alpha$-Robust $L1$ Scheme on Graded Meshes for Two-Dimensional Time Tempered Fractional Fokker-Planck Equation | 2024-01-23 | Paper |
| Unified stochastic representation, well-posedness analysis, and regularity analysis for the equations modeling anomalous diffusions | 2024-01-16 | Paper |
| The contour integral method for Feynman-Kac equation with two internal states | 2024-01-05 | Paper |
| A sharp error estimate of Euler‐Maruyama method for stochastic Volterra integral equations | 2023-11-16 | Paper |
| Existence and regularity results for semilinear stochastic time-tempered fractional wave equations with multiplicative Gaussian noise and additive fractional Gaussian noise | 2023-11-15 | Paper |
| An inverse random source problem for the time-space fractional diffusion equation driven by fractional Brownian motion | 2023-10-30 | Paper |
| Analyses of the contour integral method for time fractional normal-subdiffusion transport equation | 2023-10-25 | Paper |
| Sharp error estimates for spatial-temporal finite difference approximations to fractional sub-diffusion equation without regularity assumption on the exact solution | 2023-10-12 | Paper |
| An efficient numerical algorithm for the model describing the competition between super- and sub-diffusions driven by fractional Brownian sheet noise | 2023-07-06 | Paper |
| Galerkin Finite Element Approximation for Semilinear Stochastic Time-Tempered Fractional Wave Equations with Multiplicative Gaussian Noise and Additive Fractional Gaussian Noise | 2023-04-04 | Paper |
| Lévy walk with parameter dependent velocity: Hermite polynomial approach and numerical simulation | 2023-01-10 | Paper |
| Classification of stochastic processes by convolutional neural networks | 2022-11-29 | Paper |
| Lévy walk dynamics in non-static media | 2022-11-11 | Paper |
| Generalized diffusion and random search processes | 2022-10-20 | Paper |
| Finite Difference Method for Inhomogeneous Fractional Dirichlet Problem | 2022-08-04 | Paper |
| Strong Convergence Order for the Scheme of Fractional Diffusion Equation Driven by Fractional Gaussian Noise | 2022-07-29 | Paper |
| A Unified Convergence Analysis for the Fractional Diffusion Equation Driven by Fractional Gaussian Noise with Hurst Index $H\in(0,1)$ | 2022-07-13 | Paper |
| Numerical approximations for the fractional Fokker-Planck equation with two-scale diffusion | 2022-06-17 | Paper |
| Local discontinuous Galerkin method for the Backward Feynman-Kac Equation | 2022-05-31 | Paper |
| Numerical method for the Fokker-Planck equation of Brownian motion subordinated by inverse tempered stable subordinator with drift | 2022-05-22 | Paper |
| Distribution of Statistical Observables for Anomalous and Nonergodic Diffusions | 2022-05-03 | Paper |
| Functional Distribution of Anomalous and Nonergodic Diffusion | 2022-04-04 | Paper |
| Lévy walk dynamics in an external constant force field in non-static media | 2022-03-17 | Paper |
| Numerical Approximation for Stochastic Nonlinear Fractional Diffusion Equation Driven by Rough Noise | 2022-01-26 | Paper |
| Local discontinuous Galerkin method for the fractional diffusion equation with integral fractional Laplacian | 2021-12-17 | Paper |
| Characterization of image spaces of Riemann-Liouville fractional integral operators on Sobolev spaces \(W^{m,p} (\Omega)\) | 2021-12-14 | Paper |
| Regularity theory and numerical algorithm for the fractional Klein-Kramers equation | 2021-12-10 | Paper |
| Algorithm implementation and numerical analysis for the two-dimensional tempered fractional Laplacian | 2021-11-19 | Paper |
| Characteristic Local Discontinuous Galerkin Methods for Incompressible Navier-Stokes Equations | 2021-10-26 | Paper |
| Feynman--Kac Transform for Anomalous Processes | 2021-10-22 | Paper |
| A New Family of Difference Schemes for Space Fractional Advection Diffusion Equation | 2021-10-06 | Paper |
| Numerical approximations for the fractional Fokker-Planck equation with two-scale diffusion | 2021-09-06 | Paper |
| Numerical algorithm for the model describing anomalous diffusion in expanding media | 2021-06-11 | Paper |
| A new sixth-order finite difference WENO scheme for fractional differential equations | 2021-06-01 | Paper |
| A unified convergence analysis for the fractional diffusion equation driven by fractional Gaussion noise with Hurst index $H\in(0,1)$ | 2021-04-28 | Paper |
| Discontinuous Galerkin Methods and Their Adaptivity for the Tempered Fractional (Convection) Diffusion Equations | 2021-04-26 | Paper |
| A Reduced Finite Element Formulation for Space Fractional Partial Differential Equation | 2021-04-22 | Paper |
| High-order BDF fully discrete scheme for backward fractional Feynman-Kac equation with nonsmooth data | 2021-02-15 | Paper |
| Finite difference method for inhomogeneous fractional Dirichlet problem | 2021-01-27 | Paper |
| Local discontinuous Galerkin method for the fractional diffusion equation with integral fractional Laplacian | 2021-01-19 | Paper |
| Numerical analysis for stochastic time-space fractional diffusion equation driven by fractional Gaussion noise | 2021-01-06 | Paper |
| Numerical algorithm for the space-time fractional Fokker-Planck system with two internal states | 2020-11-02 | Paper |
| Positivity and boundedness preserving schemes for space-time fractional predator-prey reaction-diffusion model | 2020-10-08 | Paper |
| Central local discontinuous Galerkin method for the space fractional diffusion equation | 2020-10-05 | Paper |
| Numerical methods for the two-dimensional Fokker-Planck equation governing the probability density function of the tempered fractional Brownian motion | 2020-08-17 | Paper |
| Error estimates for backward fractional Feynman-Kac equation with non-smooth initial data | 2020-08-07 | Paper |
| Numerical approximation for fractional diffusion equation forced by a tempered fractional Gaussian noise | 2020-08-07 | Paper |
| Strong convergence order for the scheme of fractional diffusion equation driven by fractional Gaussion noise | 2020-07-28 | Paper |
| Higher order approximation for stochastic wave equation | 2020-07-06 | Paper |
| Numerical scheme for the Fokker-Planck equations describing anomalous diffusions with two internal states | 2020-06-03 | Paper |
| Anisotropic Nonlocal Diffusion Operators for Normal and Anomalous Dynamics | 2020-05-27 | Paper |
| A finite-difference approximation for the one- and two-dimensional tempered fractional Laplacian | 2020-01-27 | Paper |
| Finite Difference Schemes for the Tempered Fractional Laplacian | 2020-01-22 | Paper |
| Numerical approximation for fractional diffusion equation forced by a tempered fractional Gaussian noise | 2019-12-15 | Paper |
| Modeling Anomalous Diffusion | 2019-12-11 | Paper |
| Galerkin finite element approximation for semilinear stochastic time-tempered fractional wave equations with multiplicative white noise and fractional Gaussian noise | 2019-11-16 | Paper |
| Numerical algorithms of the two-dimensional Feynman-Kac equation for reaction and diffusion processes | 2019-11-13 | Paper |
| Fast algorithms for convolution quadrature of Riemann-Liouville fractional derivative | 2019-09-18 | Paper |
| L\'evy walk revisited: Hermite polynomial expansion approach | 2019-08-27 | Paper |
| Well-posedness and numerical algorithm for the tempered fractional differential equations | 2019-05-09 | Paper |
| Tempered fractional Langevin–Brownian motion with inverse β-stable subordinator | 2019-03-27 | Paper |
| High Accuracy Algorithm for the Differential Equations Governing Anomalous Diffusion | 2019-03-11 | Paper |
| Models for characterizing the transition among anomalous diffusions with different diffusion exponents | 2019-02-28 | Paper |
| Variational formulation and efficient implementation for solving the tempered fractional problems | 2019-02-15 | Paper |
| Fractional compound Poisson processes with multiple internal states | 2019-01-29 | Paper |
| First exit and Dirichlet problem for the nonisotropic tempered $\alpha$-stable processes | 2019-01-08 | Paper |
| Lévy walk with multiple internal states | 2019-01-02 | Paper |
| A second-order numerical method for two-dimensional two-sided space fractional convection diffusion equation | 2018-12-10 | Paper |
| Time Discretization of a Tempered Fractional Feynman--Kac Equation with Measure Data | 2018-12-05 | Paper |
| A Riesz Basis Galerkin Method for the Tempered Fractional Laplacian | 2018-11-07 | Paper |
| High order algorithms for Fokker-Planck equation with Caputo-Fabrizio fractional derivative | 2018-09-10 | Paper |
| High order algorithm for the time-tempered fractional Feynman-Kac equation | 2018-09-04 | Paper |
| Feynman-Kac equation revisited | 2018-06-10 | Paper |
| Resonant behavior of the generalized Langevin system with tempered Mittag–Leffler memory kernel | 2018-06-07 | Paper |
| Boundary Problems for the Fractional and Tempered Fractional Operators | 2018-05-29 | Paper |
| Feynman–Kac equations for reaction and diffusion processes | 2018-05-09 | Paper |
| Uniform convergence of V-cycle multigrid algorithms for two-dimensional fractional Feynman-Kac equation | 2018-04-12 | Paper |
| High-order quasi-compact difference schemes for fractional diffusion equations | 2018-04-05 | Paper |
| Aging Feynman–Kac equation | 2018-03-01 | Paper |
| Algorithm implementation and numerical analysis for the two-dimensional tempered fractional Laplacian | 2018-02-07 | Paper |
| Galerkin Finite Element Approximations for Stochastic Space-Time Fractional Wave Equations | 2018-01-10 | Paper |
| Localization and ballistic diffusion for the tempered fractional Brownian-Langevin motion | 2017-12-04 | Paper |
| Fourth Order Difference Approximations for Space Riemann-Liouville Derivatives Based on Weighted and Shifted Lubich Difference Operators | 2017-10-27 | Paper |
| Fourth-order numerical method for the space-time tempered fractional diffusion-wave equation | 2017-10-11 | Paper |
| Convergence Analysis of a Multigrid Method for a Nonlocal Model | 2017-09-20 | Paper |
| Numerical approaches to the functional distribution of anomalous diffusion with both traps and flights | 2017-08-28 | Paper |
| A hybridized discontinuous Galerkin method for 2D fractional convection-diffusion equations | 2017-08-22 | Paper |
| A second-order accurate numerical method for the space-time tempered fractional diffusion-wave equation | 2017-03-28 | Paper |
| Nodal discontinuous Galerkin methods for fractional diffusion equations on 2D domain with triangular meshes | 2016-12-05 | Paper |
| Third order difference schemes (without using points outside of the domain) for one sided space tempered fractional partial differential equations | 2016-11-28 | Paper |
| Mean exit time and escape probability for the anomalous processes with the tempered power-law waiting times | 2016-09-29 | Paper |
| Effects of the tempered aging and the corresponding Fokker-Planck equation | 2016-09-22 | Paper |
| High order schemes for the tempered fractional diffusion equations | 2016-06-13 | Paper |
| High order finite difference methods on non-uniform meshes for space fractional operators | 2016-04-22 | Paper |
| Characterization of Image Spaces of Riemann-Liouville Fractional Integral Operators on Sobolev Spaces $W^{m,p}(\Omega)$ | 2016-03-21 | Paper |
| Local discontinuous Galerkin methods for fractional ordinary differential equations | 2016-02-01 | Paper |
| A series of high-order quasi-compact schemes for space fractional diffusion equations based on the superconvergent approximations for fractional derivatives | 2016-01-15 | Paper |
| Multiresolution Galerkin method for solving the functional distribution of anomalous diffusion described by time-space fractional diffusion equation | 2015-09-09 | Paper |
| Numerical algorithms for the forward and backward fractional Feynman-Kac equations | 2015-07-24 | Paper |
| Fourth Order Accurate Scheme for the Space Fractional Diffusion Equations | 2015-06-09 | Paper |
| High Order Algorithms for the Fractional Substantial Diffusion Equation with Truncated Lévy Flights | 2015-06-09 | Paper |
| Discretized fractional substantial calculus | 2015-05-11 | Paper |
| Applications of Wavelet Bases to The Numerical Solutions of Fractional PDEs | 2015-05-05 | Paper |
| A class of second order difference approximations for solving space fractional diffusion equations | 2015-04-22 | Paper |
| Efficient Numerical Algorithms for Three-Dimensional Fractional Partial Differential Equations | 2015-02-11 | Paper |
| Exact Solutions and Their Asymptotic Behaviors for the Averaged Generalized Fractional Elastic Models | 2014-12-12 | Paper |
| Second-order LOD multigrid method for multidimensional Riesz fractional diffusion equation | 2014-10-31 | Paper |
| Jacobian-predictor-corrector approach for fractional differential equations | 2014-09-29 | Paper |
| Analytical Solutions, Moments, and Their Asymptotic Behaviors for the Time-Space Fractional Cable Equation | 2014-08-22 | Paper |
| Orthogonal spline collocation methods for the subdiffusion equation | 2014-07-23 | Paper |
| Wavelet Galerkin method for fractional elliptic differential equations | 2014-05-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5416300 | 2014-05-19 | Paper |
| Polynomial spectral collocation method for space fractional advection–diffusion equation | 2014-04-08 | Paper |
| Positivity and boundedness preserving schemes for the fractional reaction-diffusion equation | 2014-03-21 | Paper |
| Local Discontinuous Galerkin methods for fractional diffusion equations | 2014-02-24 | Paper |
| Superlinearly convergent algorithms for the two-dimensional space-time Caputo-Riesz fractional diffusion equation | 2014-02-19 | Paper |
| Identification and control of Hammerstein systems via wireless networks | 2014-01-15 | Paper |
| Quasi-compact finite difference schemes for space fractional diffusion equations | 2013-06-19 | Paper |
| Finite Difference/Element Method for a Two-Dimensional Modified Fractional Diffusion Equation | 2013-05-08 | Paper |
| Regularization methods for unknown source in space fractional diffusion equation | 2013-03-13 | Paper |
| High order finite difference WENO schemes for fractional differential equations | 2013-01-25 | Paper |
| Finite difference approximations and dynamics simulations for the Lévy Fractional Klein-Kramers equation | 2012-11-02 | Paper |
| Finite difference/predictor-corrector approximations for the space and time fractional Fokker-Planck equation | 2012-10-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2886578 | 2012-06-01 | Paper |
| Numerical analysis and physical simulations for the time fractional radial diffusion equation | 2011-12-18 | Paper |
| Finite difference methods and their physical constraints for the fractional klein-kramers equation | 2011-11-10 | Paper |
| The evolution of chaotic dynamics for fractional unified system | 2011-07-26 | Paper |
| Generating multi-directional multi-scroll chaotic attractors via a fractional differential hysteresis system | 2011-04-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3052451 | 2010-11-05 | Paper |
| Finite Element Method for the Space and Time Fractional Fokker–Planck Equation | 2010-03-24 | Paper |
| Smoothness and stability of the solutions for nonlinear fractional differential equations | 2010-01-15 | Paper |
| ANALYSIS OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH MULTI-ORDERS | 2009-12-04 | Paper |
| Stability analysis of linear fractional differential system with multiple time delays | 2009-09-22 | Paper |
| Erratum: “Design of multidirectional multiscroll chaotic attractors based on fractional differential systems via switching control” [Chaos 16, 043120 (2006)] | 2009-04-30 | Paper |
| Attractors for one kind of lattice dynamical system | 2009-03-10 | Paper |
| Design of multidirectional multiscroll chaotic attractors based on fractional differential systems via switching control | 2008-11-03 | Paper |
| GENERATING 3-D SCROLL GRID ATTRACTORS OF FRACTIONAL DIFFERENTIAL SYSTEMS VIA STAIR FUNCTION | 2008-10-23 | Paper |
| SCALING ATTRACTORS OF FRACTIONAL DIFFERENTIAL SYSTEMS | 2008-07-02 | Paper |
| Numerical algorithm for the time fractional Fokker-Planck equation | 2007-12-18 | Paper |
| Short memory principle and a predictor-corrector approach for fractional differential equations | 2007-06-29 | Paper |
| Remarks on fractional derivatives | 2007-06-12 | Paper |
| SYNCHRONIZATION OF LIMIT SETS | 2007-06-05 | Paper |
| Stability of \(N\)-dimensional linear systems with multiple delays and application to synchronization | 2007-01-25 | Paper |
| SCALING CHEN'S ATTRACTOR | 2006-08-24 | Paper |
| STABILITY ANALYSIS OF DIFFERENTIAL EQUATIONS WITH TIME-DEPENDENT DELAY | 2006-08-21 | Paper |
| CHAOS SYNCHRONIZATION OF FRACTIONAL-ORDER DIFFERENTIAL SYSTEMS | 2006-05-10 | Paper |
| Synchronization of Chaotic Fractional Chen System | 2005-09-05 | Paper |
