2025
New insights into solvability of fractional evolutionary inclusions and variational-hemivariational inequalities in contact mechanics.
Comput. Appl. Math., July, 2025
Quenching phenomenon in the Caputo-Hadamard time-fractional Kawarada problem: Analysis and computation.
Math. Comput. Simul., 2025
2024
H3N3-2<sub>σ</sub>-based difference schemes for time multi-term fractional diffusion-wave equation.
Comput. Appl. Math., December, 2024
H<sup>1</sup>-analysis of H3N3-2<sub>σ</sub>-based difference method for fractional hyperbolic equations.
Comput. Appl. Math., February, 2024
2023
Numerical analysis of the high-order scheme of the damped nonlinear space fraction Schrödinger equation.
Appl. Math. Lett., July, 2023
Discretised general fractional derivative.
Math. Comput. Simul., June, 2023
High-order numerical algorithm and error analysis for the two-dimensional nonlinear spatial fractional complex Ginzburg-Landau equation.
Commun. Nonlinear Sci. Numer. Simul., June, 2023
Monte Carlo method for parabolic equations involving fractional Laplacian.
Monte Carlo Methods Appl., March, 2023
Spectral approximation of ψ-fractional differential equation based on mapped Jacobi functions.
CoRR, 2023
Two kinds of numerical algorithms for ultra-slow diffusion equations.
CoRR, 2023
2022
The Finite-Time Blow-Up for Semilinear Fractional Diffusion Equations with Time ψ-Caputo Derivative.
J. Nonlinear Sci., 2022
A Modified Walk-on-sphere Method for High Dimensional Fractional Poisson Equation.
CoRR, 2022
Fractional SEIR Model and Data-Driven Predictions of COVID-19 Dynamics of Omicron Variant.
CoRR, 2022
Applications of generalized fractional hemivariational inequalities in solid viscoelastic contact mechanics.
Commun. Nonlinear Sci. Numer. Simul., 2022
Numerical approaches to Caputo-Hadamard fractional derivatives with applications to long-term integration of fractional differential systems.
Commun. Nonlinear Sci. Numer. Simul., 2022
2021
Non-uniform L1/discontinuous Galerkin approximation for the time-fractional convection equation with weak regular solution.
Math. Comput. Simul., 2021
L1/LDG method for the generalized time-fractional Burgers equation.
Math. Comput. Simul., 2021
The Blow-Up and Global Existence of Solution to Caputo-Hadamard Fractional Partial Differential Equation with Fractional Laplacian.
J. Nonlinear Sci., 2021
Stability and Logarithmic Decay of the Solution to Hadamard-Type Fractional Differential Equation.
J. Nonlinear Sci., 2021
Asymptotic behaviours of solution to Caputo-Hadamard fractional partial differential equation with fractional Laplacian.
Int. J. Comput. Math., 2021
Fractional Buffer Layers: Absorbing Boundary Conditions for Wave Propagation.
CoRR, 2021
2020
The discontinuous Galerkin finite element method for Caputo-type nonlinear conservation law.
Math. Comput. Simul., 2020
An H2N2 Interpolation for Caputo Derivative with Order in (1, 2) and Its Application to Time-Fractional Wave Equations in More Than One Space Dimension.
J. Sci. Comput., 2020
Mathematical Analysis and the Local Discontinuous Galerkin Method for Caputo-Hadamard Fractional Partial Differential Equation.
J. Sci. Comput., 2020
On Caputo-Hadamard fractional differential equations.
Int. J. Comput. Math., 2020
2019
A High-Order Algorithm for Time-Caputo-Tempered Partial Differential Equation with Riesz Derivatives in Two Spatial Dimensions.
J. Sci. Comput., 2019
Hopf Bifurcation in a Delayed Diffusive Leslie-Gower Predator-Prey Model with Herd Behavior.
Int. J. Bifurc. Chaos, 2019
Synchronization in Tempered Fractional Complex Networks via Auxiliary System Approach.
Complex., 2019
2018
Numerical methods for fractional partial differential equations.
Int. J. Comput. Math., 2018
The finite difference method for Caputo-type parabolic equation with fractional Laplacian: more than one space dimension.
Int. J. Comput. Math., 2018
Int. J. Comput. Math., 2018
Hopf Bifurcation of a Delayed Predator-Prey Model with Nonconstant Death Rate and Constant-Rate Prey Harvesting.
Int. J. Bifurc. Chaos, 2018
Approximation to Hadamard Derivative via the Finite Part Integral.
Entropy, 2018
High-order numerical approximation formulas for Riemann-Liouville (Riesz) tempered fractional derivatives: Construction and application (II).
Appl. Math. Lett., 2018
2017
High-Order Numerical Algorithms for Riesz Derivatives via Constructing New Generating Functions.
J. Sci. Comput., 2017
Pinning synchronization between two general fractional complex dynamical networks with external disturbances.
IEEE CAA J. Autom. Sinica, 2017
2016
Finite difference methods with non-uniform meshes for nonlinear fractional differential equations.
J. Comput. Phys., 2016
High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations (III).
J. Comput. Appl. Math., 2016
A novel compact ADI scheme for the time-fractional subdiffusion equation in two space dimensions.
Int. J. Comput. Math., 2016
2015
Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy.
SIAM J. Sci. Comput., 2015
High-order algorithms for Riesz derivative and their applications (II).
J. Comput. Phys., 2015
Finite difference method for time-space-fractional Schrödinger equation.
Int. J. Comput. Math., 2015
Compact difference method for solving the fractional reaction-subdiffusion equation with Neumann boundary value condition.
Int. J. Comput. Math., 2015
Multi-UAV-based optimal crop-dusting of anomalously diffusing infestation of crops.
Proceedings of the American Control Conference, 2015
2014
A Crank-Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation.
SIAM J. Numer. Anal., 2014
Computation of universal unfolding of the double zero bifurcation in the Z<sub>2</sub>-symmetric system.
Int. J. Comput. Math., 2014
Adaptive Synchronization of Fractional Neural Networks with Unknown Parameters and Time Delays.
Entropy, 2014
On defining the distributions δ<sup>k</sup> and (δ')<sup>k</sup> by fractional derivatives.
Appl. Math. Comput., 2014
On tempered and substantial fractional calculus.
Proceedings of the 10th IEEE/ASME International Conference on Mechatronic and Embedded Systems and Applications, 2014
2013
The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation.
SIAM J. Sci. Comput., 2013
Mixed spline function method for reaction-subdiffusion equations.
J. Comput. Phys., 2013
The asymptotics of the solutions to the anomalous diffusion equations.
Comput. Math. Appl., 2013
2012
Finite difference Schemes for Variable-Order Time fractional Diffusion equation.
Int. J. Bifurc. Chaos, 2012
Finite difference Methods for fractional differential equations.
Int. J. Bifurc. Chaos, 2012
Int. J. Bifurc. Chaos, 2012
Existence and Continuation Theorems of Riemann-Liouville Type fractional differential equations.
Int. J. Bifurc. Chaos, 2012
On the fractional mean-Value Theorem.
Int. J. Bifurc. Chaos, 2012
A numerical approach to the generalized nonlinear fractional Fokker-Planck equation.
Comput. Math. Appl., 2012
Fractional difference/finite element approximations for the time-space fractional telegraph equation.
Appl. Math. Comput., 2012
Pinning adaptive anti-synchronization between two general complex dynamical networks with non-delayed and delayed coupling.
Appl. Math. Comput., 2012
2011
Numerical approaches to fractional calculus and fractional ordinary differential equation.
J. Comput. Phys., 2011
Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion.
Comput. Math. Appl., 2011
2010
Stability analysis of fractional differential system with Riemann-Liouville derivative.
Math. Comput. Model., 2010
A note on the finite element method for the space-fractional advection diffusion equation.
Comput. Math. Appl., 2010
2009
Bifurcations of a Holling-Type II predator-prey System with Constant Rate Harvesting.
Int. J. Bifurc. Chaos, 2009
Numerical algorithm based on Adomian decomposition for fractional differential equations.
Comput. Math. Appl., 2009
On the fractional Adams method.
Comput. Math. Appl., 2009
2007
Hopf bifurcation of a Delayed Differential equation.
Int. J. Bifurc. Chaos, 2007
Attractors for one kind of lattice dynamical system.
Comput. Math. Appl., 2007
Remarks on fractional derivatives.
Appl. Math. Comput., 2007
2006
Stability of <i>N</i>-Dimensional Linear Systems with Multiple Delays and Application to Synchronization.
J. Syst. Sci. Complex., 2006
Stability Analysis of Differential Equations with Time-Dependent Delay.
Int. J. Bifurc. Chaos, 2006
2003
A Note on Hopf bifurcation in Chen's System.
Int. J. Bifurc. Chaos, 2003
A Note on bifurcation Control.
Int. J. Bifurc. Chaos, 2003
2002
Bifurcation from an Equilibrium of the Steady State Kuramoto-sivashinsky equation in Two Spatial Dimensions.
Int. J. Bifurc. Chaos, 2002
2001
Bifurcation Analysis of the Kuramoto-Sivashinsky equation in One Spatial Dimension.
Int. J. Bifurc. Chaos, 2001
Bifurcations of One-Dimensional reaction-Diffusion equations.
Int. J. Bifurc. Chaos, 2001