|
+
|
Quenching phenomenon in the Caputo-Hadamard time-fractional Kawarada problem: Analysis and computation
|
2025
|
Dingding Cao
Changpin Li
|
|
+
|
Chaos detection in generalized ψ-fractional differential systems
|
2024
|
N'Gbo N'Gbo
Changpin Li
Min Cai
|
|
+
|
ON $$\psi$$ FRACTIONAL INTEGRAL
|
2024
|
Changpin Li
|
|
+
|
H3N3-2$$_\sigma $$-based difference schemes for time multi-term fractional diffusion-wave equation
|
2024
|
Ruilian Du
Changpin Li
Fang Su
Zhi‐zhong Sun
|
|
+
|
Numerical Algorithms for Ultra-slow Diffusion Equations
|
2024
|
Min Cai
Changpin Li
Yu Wang
|
|
+
|
Finite difference methods for nonlinear fractional differential equation with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si3.svg" display="inline" id="d1e3142"><mml:mi>ψ</mml:mi></mml:math>-Caputo derivative
|
2024
|
Changpin Li
N’Gbo N’Gbo
Su Fang
|
|
+
|
Monte Carlo method for the Cauchy problem of fractional diffusion equation concerning fractional Laplacian
|
2024
|
Caiyu Jiao
Changpin Li
|
|
+
|
$$H^1$$-analysis of H3N3-2$$_\sigma $$-based difference method for fractional hyperbolic equations
|
2024
|
Ruilian Du
Changpin Li
Zhi‐zhong Sun
|
|
+
|
Diffusion in Allen–Cahn equation: Normal vs anomalous
|
2023
|
Enyu Fan
Changpin Li
|
|
+
|
Efficient spectral collocation method for fractional differential equation with Caputo-Hadamard derivative
|
2023
|
Tinggang Zhao
Changpin Li
Dongxia Li
|
|
+
|
L1/LDG algorithm for time‐Caputo space‐Riesz fractional convection equation in two dimensions
|
2023
|
Min Cai
Changpin Li
|
|
+
|
CDG method for the fractional convection equation
|
2023
|
Changpin Li
Dongxia Li
Zhen Wang
|
|
+
|
Numerical simulation of blow-up solution to the Caputo-Hadamard fractional differential equation
|
2023
|
Enyu Fan
Changpin Li
|
|
+
|
Numerical analysis of the high-order scheme of the damped nonlinear space fraction Schrödinger equation
|
2023
|
Hengfei Ding
Changpin Li
|
|
+
|
High-order numerical algorithm and error analysis for the two-dimensional nonlinear spatial fractional complex Ginzburg–Landau equation
|
2023
|
Hengfei Ding
Changpin Li
|
|
+
|
Discretised general fractional derivative
|
2023
|
Enyu Fan
Changpin Li
Martin Stynes
|
|
+
PDF
Chat
|
Monte Carlo method for parabolic equations involving fractional Laplacian
|
2023
|
Caiyu Jiao
Changpin Li
|
|
+
|
Two kinds of numerical algorithms for ultra-slow diffusion equations
|
2023
|
Min Cai
Changpin Li
Yu Wang
|
|
+
|
$H^1$-analysis of H3N3-2\textbf{$_σ$}-based difference method for fractional hyperbolic equations
|
2023
|
Ruilian Du
Changpin Li
Zhi‐zhong Sun
|
|
+
|
Spectral approximation of $ψ$-fractional differential equation based on mapped Jacobi functions
|
2023
|
Tinggang Zhao
Zhenyu Zhao
Changpin Li
Dongxia Li
|
|
+
PDF
Chat
|
A modified walk‐on‐sphere method for high dimensional fractional Poisson equation
|
2022
|
Caiyu Jiao
Changpin Li
Hexiang Wang
Zhongqiang Zhang
|
|
+
|
The Finite-Time Blow-Up for Semilinear Fractional Diffusion Equations with Time $$\psi $$-Caputo Derivative
|
2022
|
Changpin Li
Zhiqiang Li
|
|
+
PDF
Chat
|
ON BLOW-UP FOR A TIME–SPACE FRACTIONAL PARTIAL DIFFERENTIAL EQUATION WITH EXPONENTIAL KERNEL IN TEMPORAL DERIVATIVE
|
2022
|
Changpin Li
Zhiqiang Li
|
|
+
|
NUMERICAL METHODS FOR THE CAPUTO-TYPE FRACTIONAL DERIVATIVE WITH AN EXPONENTIAL KERNEL
|
2022
|
Enyu Fan
Changpin Li
Zhiqiang Li
|
|
+
PDF
Chat
|
Fractional SEIR model and data-driven predictions of COVID-19 dynamics of Omicron variant
|
2022
|
Min Cai
George Em Karniadakis
Changpin Li
|
|
+
|
L1/LDG Method for the Generalized Time-Fractional Burgers Equation in Two Spatial Dimensions
|
2022
|
Changpin Li
Dongxia Li
Zhen Wang
|
|
+
|
Which Kind of Fractional Partial Differential Equations Has Solution with Exponential Asymptotics?
|
2022
|
Changpin Li
Zhiqiang Li
Chuntao Yin
|
|
+
|
A Modified Walk-on-sphere Method for High Dimensional Fractional Poisson Equation
|
2022
|
Caiyu Jiao
Changpin Li
Hexiang Wang
Zhongqiang Zhang
|
|
+
|
Stability and <i>ψ</i>-algebraic decay of the solution to <i>ψ</i>-fractional differential system
|
2021
|
Changpin Li
Zhiqiang Li
|
|
+
|
Difference Between Riesz Derivative and Fractional Laplacian on the Proper Subset of ℝ
|
2021
|
Caiyu Jiao
A.Q.M. Khaliq
Changpin Li
Hexiang Wang
|
|
+
|
Numerical approaches to Caputo–Hadamard fractional derivatives with applications to long-term integration of fractional differential systems
|
2021
|
Enyu Fan
Changpin Li
Zhiqiang Li
|
|
+
|
The Blow-Up and Global Existence of Solution to Caputo–Hadamard Fractional Partial Differential Equation with Fractional Laplacian
|
2021
|
Changpin Li
Zhiqiang Li
|
|
+
|
Numerical Methods for the Time Fractional Convection-Diffusion-Reaction Equation
|
2021
|
Changpin Li
Zhen Wang
|
|
+
|
An Estimate of the Bound of the Lyapunov Exponents for Caputo–Hadamard Fractional Differential System
|
2021
|
Changpin Li
Chuntao Yin
|
|
+
|
L1/LDG method for the generalized time-fractional Burgers equation
|
2021
|
Changpin Li
Dongxia Li
Zhen Wang
|
|
+
|
Stability and Logarithmic Decay of the Solution to Hadamard-Type Fractional Differential Equation
|
2021
|
Changpin Li
Zhiqiang Li
|
|
+
|
Fractional Buffer Layers: Absorbing Boundary Conditions for Wave Propagation
|
2021
|
Min Cai
Ehsan Kharazmi
Changpin Li
George Em Karniadakis
|
|
+
PDF
Chat
|
Asymptotic behaviors of solution to partial differential equation with Caputo–Hadamard derivative and fractional Laplacian: Hyperbolic case
|
2021
|
Changpin Li
Zhiqiang Li
|
|
+
|
Non-uniform L1/discontinuous Galerkin approximation for the time-fractional convection equation with weak regular solution
|
2020
|
Changpin Li
Zhen Wang
|
|
+
|
Mathematical Analysis and the Local Discontinuous Galerkin Method for Caputo–Hadamard Fractional Partial Differential Equation
|
2020
|
Changpin Li
Zhiqiang Li
Zhen Wang
|
|
+
|
Finite Difference Methods for Caputo–Hadamard Fractional Differential Equations
|
2020
|
Madiha Gohar
Changpin Li
Zhiqiang Li
|
|
+
|
The fractional Green's function by Babenko's approach
|
2020
|
Chenkuan Li
Changpin Li
|
|
+
|
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
|
2020
|
Jinye Shen
Changpin Li
Zhi‐zhong Sun
|
|
+
|
Asymptotic behaviours of solution to Caputo–Hadamard fractional partial differential equation with fractional Laplacian
|
2020
|
Changpin Li
Zhiqiang Li
|
|
+
PDF
Chat
|
Numerical Approaches to Fractional Integrals and Derivatives: A Review
|
2020
|
Min Cai
Changpin Li
|
|
+
|
Numerical algorithms for the time‐Caputo and space‐Riesz fractional Bloch‐Torrey equations
|
2019
|
Hengfei Ding
Changpin Li
|
|
+
PDF
Chat
|
FCAA special issue – In memory of late professor Wen Chen (FCAA–Volume 22–6–2019)
|
2019
|
YangQuan Chen
Changpin Li
Igor Podlubný
HongGuang Sun
|
|
+
|
High-order algorithms for riesz derivative and their applications (IV)
|
2019
|
Hengfei Ding
Changpin Li
|
|
+
|
The local discontinuous Galerkin finite element methods for Caputo-type partial differential equations: Mathematical analysis
|
2019
|
Changpin Li
Zhen Wang
|
|
+
|
The discontinuous Galerkin finite element method for Caputo-type nonlinear conservation law
|
2019
|
Changpin Li
Zhen Wang
|
|
+
PDF
Chat
|
Preface to the Focused Issue on Fractional Derivatives and General Nonlocal Models
|
2019
|
Qiang Du
Jan S. Hesthaven
Changpin Li
Chi‐Wang Shu
Tao Tang
|
|
+
|
On Caputo–Hadamard fractional differential equations
|
2019
|
Madiha Gohar
Changpin Li
Chuntao Yin
|
|
+
|
Regularity of the solution to Riesz-type fractional differential equation
|
2019
|
Min Cai
Changpin Li
|
|
+
PDF
Chat
|
Modeling and Computing of Fractional Convection Equation
|
2019
|
Changpin Li
Qian Yi
|
|
+
|
Hopf Bifurcation in a Delayed Diffusive Leslie–Gower Predator–Prey Model with Herd Behavior
|
2019
|
Fengrong Zhang
Yan Li
Changpin Li
|
|
+
|
On Riesz Derivative
|
2019
|
Min Cai
Changpin Li
|
|
+
|
High-order finite difference methods for fractional partial differential equations
|
2019
|
Hengfei Ding
Changpin Li
|
|
+
PDF
Chat
|
Remarks on the Generalized Fractional Laplacian Operator
|
2019
|
Chenkuan Li
Changpin Li
Thomas Humphries
Hunter Plowman
|
|
+
|
A High-Order Algorithm for Time-Caputo-Tempered Partial Differential Equation with Riesz Derivatives in Two Spatial Dimensions
|
2019
|
Hengfei Ding
Changpin Li
|
|
+
|
The local discontinuous Galerkin finite element methods for Caputo-type partial differential equations: Numerical analysis
|
2019
|
Changpin Li
Zhen Wang
|
|
+
|
Finite-time stability analysis of fractional differential systems with variable coefficients
|
2019
|
Fengrong Zhang
Deliang Qian
Changpin Li
|
|
+
|
Theory and Numerical Approximations of Fractional Integrals and Derivatives
|
2019
|
Changpin Li
Min Cai
|
|
+
|
Chapter 1: Fractional integrals
|
2019
|
Changpin Li
Min Cai
|
|
+
|
Chapter 4: Numerical Caputo differentiation
|
2019
|
Changpin Li
Min Cai
|
|
+
|
Chapter 7: Numerical fractional Laplacian
|
2019
|
Changpin Li
Min Cai
|
|
+
|
Chapter 5: Numerical Riemann-Liouville differentiation
|
2019
|
Changpin Li
Min Cai
|
|
+
|
Chapter 3: Numerical fractional integration
|
2019
|
Changpin Li
Min Cai
|
|
+
|
Chapter 6: Numerical Riesz differentiation
|
2019
|
Changpin Li
Min Cai
|
|
+
|
Hopf Bifurcation of a Delayed Predator–Prey Model with Nonconstant Death Rate and Constant-Rate Prey Harvesting
|
2018
|
Fengrong Zhang
Xinhong Zhang
Yan Li
Changpin Li
|
|
+
PDF
Chat
|
Approximation to Hadamard Derivative via the Finite Part Integral
|
2018
|
Chuntao Yin
Changpin Li
Bi Qin-Sheng
|
|
+
|
Finite Difference Method for Two-Dimensional Nonlinear Time-Fractional Subdiffusion Equation
|
2018
|
Changpin Li
Qian Yi
|
|
+
|
High-order numerical approximation formulas for Riemann–Liouville (Riesz) tempered fractional derivatives: Construction and application (II)
|
2018
|
Hengfei Ding
Changpin Li
|
|
+
PDF
Chat
|
Several Results of Fractional Differential and Integral Equations in Distribution
|
2018
|
Chenkuan Li
Changpin Li
Kyle Clarkson
|
|
+
|
COMPARISON PRINCIPLES FOR HADAMARD-TYPE FRACTIONAL DIFFERENTIAL EQUATIONS
|
2018
|
Chuntao Yin
Li Ma
Changpin Li
|
|
+
|
Approximating Hadamard Derivative and Fractional Differential Equation via the Finite Part Integral
|
2018
|
Chuntao Yin
Changpin Li
Qinsheng Bi
|
|
+
PDF
Chat
|
An alternating direction Galerkin method for a time-fractional partial differential equation with damping in two space dimensions
|
2017
|
An Chen
Changpin Li
|
|
+
|
A High-Order Accurate Numerical Scheme for the Caputo Derivative with Applications to Fractional Diffusion Problems
|
2017
|
Wei‐Hua Luo
Changpin Li
Ting‐Zhu Huang
Xian‐Ming Gu
Guo–Cheng Wu
|
|
+
|
On Finite Part Integrals and Hadamard-Type Fractional Derivatives
|
2017
|
Li Ma
Changpin Li
|
|
+
|
The finite difference method for Caputo-type parabolic equation with fractional Laplacian: more than one space dimension
|
2017
|
Ye Hu
Changpin Li
Hefeng Li
|
|
+
|
Well-Posedness of Fractional Differential Equations
|
2017
|
Changpin Li
Li Ma
|
|
+
|
Fractional Convection
|
2017
|
Changpin Li
Qian Yi
Jürgen Kurths
|
|
+
|
A new Crank–Nicolson finite element method for the time-fractional subdiffusion equation
|
2017
|
Fanhai Zeng
Changpin Li
|
|
+
|
Numerical methods for fractional partial differential equations
|
2017
|
Changpin Li
An Chen
|
|
+
|
High‐order algorithms for Riesz derivative and their applications (V)
|
2017
|
Hengfei Ding
Changpin Li
|
|
+
PDF
Chat
|
Fractional-Compact Numerical Algorithms for Riesz Spatial Fractional Reaction-Dispersion Equations
|
2017
|
Hengfei Ding
Changpin Li
|
|
+
PDF
Chat
|
A new second-order midpoint approximation formula for Riemann–Liouville derivative: algorithm and its application
|
2017
|
Hengfei Ding
Changpin Li
Qian Yi
|
|
+
|
ON HADAMARD FRACTIONAL CALCULUS
|
2017
|
Li Ma
Changpin Li
|
|
+
|
Asymptotically compatible schemes for space-time nonlocal diffusion equations
|
2017
|
An Chen
Qiang Du
Changpin Li
Zhi Zhou
|
|
+
|
The finite difference method for Caputo-type parabolic equation with fractional Laplacian: One-dimension case
|
2017
|
Ye Hu
Changpin Li
Hefeng Li
|
|
+
|
The Abel Integral Equations in Distribution
|
2017
|
Chenkuan Li
Changpin Li
Bailey Kacsmar
R Lacroix
Kyle Tilbury
|
|
+
|
High-Order Approximation to Caputo Derivatives and Caputo-type Advection–Diffusion Equations: Revisited
|
2017
|
Changpin Li
Min Cai
|
|
+
PDF
Chat
|
Remarks on fractional derivatives of distributions*
|
2017
|
Chenkuan Li
Changpin Li
|
|
+
PDF
Chat
|
High-Order Numerical Algorithms for Riesz Derivatives via Constructing New Generating Functions
|
2016
|
Hengfei Ding
Changpin Li
|
|
+
PDF
Chat
|
Preface: Recent Advances in Fractional Dynamics
|
2016
|
H. M. Srivastava
Dumitru Băleanu
Changpin Li
|
|
+
|
Existence and continuation of solutions for Caputo type fractional differential equations
|
2016
|
Changpin Li
Shahzad Sarwar
|
|
+
|
Lyapunov–Schmidt Reduction for Fractional Differential Systems
|
2016
|
Changpin Li
Li Ma
|
|
+
|
Finite difference methods with non-uniform meshes for nonlinear fractional differential equations
|
2016
|
Changpin Li
Qian Yi
An Chen
|
|
+
PDF
Chat
|
High-Order Algorithms for Riesz Derivative and their Applications (III)
|
2016
|
Hengfei Ding
Changpin Li
|
|
+
|
Fractional-compact numerical algorithms for Riesz spatial fractional reaction-dispersion equations
|
2016
|
Hengfei Ding
Changpin Li
|
|
+
|
Numerical Solution of Fractional Diffusion-Wave Equation
|
2015
|
An Chen
Changpin Li
|
|
+
|
High-order approximation to Caputo derivatives and Caputo-type advection–diffusion equations (III)
|
2015
|
Hefeng Li
Jianxiong Cao
Changpin Li
|
|
+
|
Center Manifold of Fractional Dynamical System
|
2015
|
Li Ma
Changpin Li
|
|
+
PDF
Chat
|
High‐order compact difference schemes for the modified anomalous subdiffusion equation
|
2015
|
Hengfei Ding
Changpin Li
|
|
+
|
Multi-UAV-based optimal crop-dusting of anomalously diffusing infestation of crops
|
2015
|
Jianxiong Cao
YangQuan Chen
Changpin Li
|
|
+
|
High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations
|
2015
|
Changpin Li
Rifang Wu
Hengfei Ding
|
|
+
|
High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations (II)
|
2015
|
Jianxiong Cao
Changpin Li
YangQuan Chen
|
|
+
|
Numerical Methods for Fractional Calculus
|
2015
|
Changpin Li
Fanhai Zeng
|
|
+
|
High-order numerical differential formulas for Riesz derivative based on novel generating functions
|
2015
|
Hengfei Ding
Changpin Li
|
|
+
|
Novel high-order modified-shifted formulas for Riesz derivatives and their applications
|
2015
|
Hengfei Ding
Changpin Li
|
|
+
|
A novel second-order numerical formula for the Riesz derivatives and its applications
|
2015
|
Hengfei Ding
Changpin Li
|
|
+
|
EXACT TRAVELLING WAVE SOLUTIONS FOR THE GENERALIZED KURAMOTO-SIVASHINSKY EQUATION
|
2015
|
Changpin Li
Guanrong Chen
Suchuan Zhao
|
|
+
|
A novel compact ADI scheme for the time-fractional subdiffusion equation in two space dimensions
|
2015
|
An Chen
Changpin Li
|
|
+
|
High-order Compact Difference Schemes for Riesz Derivatives and the Riesz Spatial Telegraph Equation
|
2015
|
Hengfei Ding
Changpin Li
|
|
+
|
Numerical algorithms for time-fractional subdiffusion equation with second-order accuracy
|
2015
|
Fanhai Zeng
Changpin Li
Fawang Liu
Ian Turner
|
|
+
PDF
Chat
|
Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy
|
2015
|
Fanhai Zeng
Changpin Li
Fawang Liu
Ian Turner
|
|
+
|
High-order fractional-compact finite difference method for Riesz spatial telegraph equation
|
2015
|
Hengfei Ding
Changpin Li
|
|
+
PDF
Chat
|
High-order Numerical Methods for Riesz Space Fractional Turbulent Diffusion Equation
|
2014
|
Hengfei Ding
Changpin Li
|
|
+
|
On defining the distributions <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mrow><mml:msup><mml:mrow><mml:mi>δ</mml:mi></mml:mrow><mml:mrow><mml:mi>k</mml:mi></mml:mrow></mml:msup></mml:mrow></mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:mrow><mml:msup><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mrow><mml:mi>δ</mml:mi></mml:mrow><mml:mrow><mml:mo>′</mml:mo></mml:…
|
2014
|
Chenkuan Li
Changpin Li
|
|
+
|
On tempered and substantial fractional calculus
|
2014
|
Jianxiong Cao
Changpin Li
YangQuan Chen
|
|
+
|
Finite difference method for time-space-fractional Schrödinger equation
|
2014
|
Qun Liu
Fanhai Zeng
Changpin Li
|
|
+
|
High-order algorithms for Riesz derivative and their applications (II)
|
2014
|
Hengfei Ding
Changpin Li
YangQuan Chen
|
|
+
|
Compact difference method for solving the fractional reaction–subdiffusion equation with Neumann boundary value condition
|
2014
|
Jianxiong Cao
Changpin Li
YangQuan Chen
|
|
+
|
Higher order finite difference method for the reaction and anomalous-diffusion equation
|
2014
|
Changpin Li
Hengfei Ding
|
|
+
PDF
Chat
|
Analysis of Fractional Dynamic Systems
|
2014
|
Fawang Liu
Richard L. Magin
Changpin Li
Alla Sikorskii
S. B. Yuste
|
|
+
PDF
Chat
|
High-Order Algorithms for Riesz Derivative and Their Applications<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mo stretchy="false">(</mml:mo><mml:mi>I</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>
|
2014
|
Hengfei Ding
Changpin Li
YangQuan Chen
|
|
+
PDF
Chat
|
A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation
|
2014
|
Fanhai Zeng
Fawang Liu
Changpin Li
Kevin Burrage
Ian Turner
Vo Anh
|
|
+
PDF
Chat
|
Determination of Coefficients of High-Order Schemes for Riemann-Liouville Derivative
|
2014
|
Rifang Wu
Hengfei Ding
Changpin Li
|
|
+
|
On defining the distributions d k and ðd 0 Þ k by fractional derivatives q
|
2014
|
Chenkuan Li
Changpin Li
|
|
+
|
Fractional differentiation matrices with applications
|
2014
|
Fanhai Zeng
Changpin Li
|
|
+
|
Multi-UAV-based Optimal Crop-dusting of Anomalously Diffusing Infestation of Crops
|
2014
|
Jianxiong Cao
YangQuan Chen
Changpin Li
|
|
+
PDF
Chat
|
Finite difference scheme for the time-space fractional diffusion equations
|
2013
|
Jianxiong Cao
Changpin Li
|
|
+
|
Chaotic vibration in fractional maps
|
2013
|
Huang Xiao
Yutian Ma
Changpin Li
|
|
+
PDF
Chat
|
Numerical approach to the Caputo derivative of the unknown function
|
2013
|
Fanhai Zeng
Changpin Li
|
|
+
|
Computation of universal unfolding of the double zero bifurcation in the<b>Z</b><sub>2</sub>-symmetric system
|
2013
|
Guojun Peng
Changpin Li
|
|
+
PDF
Chat
|
Fractional calculus and its applications
|
2013
|
Changpin Li
YangQuan Chen
Jürgen Kurths
|
|
+
PDF
Chat
|
Equivalent system for a multiple-rational-order fractional differential system
|
2013
|
Changpin Li
Fengrong Zhang
Jürgen Kurths
Fanhai Zeng
|
|
+
|
Finite element methods for fractional differential equations
|
2013
|
Changpin Li
Fanhai Zeng
|
|
+
|
Existence and uniqueness of the solutions to the fractional differential equations
|
2013
|
Yutian Ma
Fengrong Zhang
Changpin Li
|
|
+
|
Gronwall inequalities
|
2013
|
Fanhai Zeng
Jianxiong Cao
Changpin Li
|
|
+
|
Mixed spline function method for reaction–subdiffusion equations
|
2013
|
Hengfei Ding
Changpin Li
|
|
+
|
The asymptotics of the solutions to the anomalous diffusion equations
|
2013
|
Yutian Ma
Fengrong Zhang
Changpin Li
|
|
+
|
The Finite Difference Methods for Fractional Ordinary Differential Equations
|
2013
|
Changpin Li
Fanhai Zeng
|
|
+
PDF
Chat
|
Numerical Algorithms for the Fractional Diffusion-Wave Equation with Reaction Term
|
2013
|
Hengfei Ding
Changpin Li
|
|
+
PDF
Chat
|
Numerical Fractional-Calculus Model for Two-Phase Flow in Fractured Media
|
2013
|
Wenwen Zhong
Changpin Li
Jisheng Kou
|
|
+
|
The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation
|
2013
|
Fanhai Zeng
Changpin Li
Fawang Liu
Ian Turner
|
|
+
PDF
Chat
|
Advanced Topics in Fractional Dynamics
|
2013
|
Dumitru Băleanu
H. M. Srivastava
Varsha Daftardar‐Gejji
Changpin Li
J. A. Tenreiro Machado
|
|
+
|
High-order finite difference methods for time-fractional subdiffusion equation
|
2013
|
Fanhai Zeng
Changpin Li
|
|
+
|
Implicit difference schemes for fractional diffusion equations
|
2013
|
Changpin Li
|
|
+
|
The finite difference methods for fractional ordinary differential equations
|
2013
|
Changpin Li
Fanhai Zeng
|
|
+
PDF
Chat
|
Numerics for the fractional Langevin equation driven by the fractional Brownian motion
|
2012
|
Peng Guo
Caibin Zeng
Changpin Li
YangQuan Chen
|
|
+
|
Fractional difference/finite element approximations for the time–space fractional telegraph equation
|
2012
|
Zhengang Zhao
Changpin Li
|
|
+
|
Fractional dynamical system and its linearization theorem
|
2012
|
Changpin Li
Yutian Ma
|
|
+
|
Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis
|
2012
|
Changpin Li
Yujiang Wu
Ruisong Ye
|
|
+
|
Remarks on the initialization of Caputo derivative
|
2012
|
Fengrong Zhang
Changpin Li
|
|
+
|
Chaos in fractional difference equation
|
2012
|
Huang Xiao
Yutian Ma
Changpin Li
|
|
+
|
Mean first passage time of random walks on deterministic recursive trees
|
2012
|
Ran Wang
Weigang Sun
Li-Yan Tong
Changpin Li
|
|
+
|
A finite difference method for time-fractional telegraph equation
|
2012
|
Changpin Li
Jianxiong Cao
|
|
+
PDF
Chat
|
Spectral approximations to the fractional integral and derivative
|
2012
|
Changpin Li
Fanhai Zeng
Fawang Liu
|
|
+
|
ON THE FRACTIONAL MEAN-VALUE THEOREM
|
2012
|
Peng Guo
Changpin Li
Guanrong Chen
|
|
+
|
EXISTENCE AND CONTINUATION THEOREMS OF RIEMANN–LIOUVILLE TYPE FRACTIONAL DIFFERENTIAL EQUATIONS
|
2012
|
Chunhai Kou
Hua‐Cheng Zhou
Changpin Li
|
|
+
|
FINITE DIFFERENCE METHODS FOR FRACTIONAL DIFFERENTIAL EQUATIONS
|
2012
|
Changpin Li
Fanhai Zeng
|
|
+
|
FINITE DIFFERENCE SCHEMES FOR VARIABLE-ORDER TIME FRACTIONAL DIFFUSION EQUATION
|
2012
|
HongGuang Sun
Wen Chen
Changpin Li
YangQuan Chen
|
|
+
|
A numerical approach to the generalized nonlinear fractional Fokker–Planck equation
|
2012
|
Zhengang Zhao
Changpin Li
|
|
+
|
Numerical Algorithm for Fractional Calculus Based on Chebyshev Polynomial Approximation
|
2012
|
Changpin Li
|
|
+
|
Finite element method for nonlinear supperdiffusion equation
|
2012
|
Feng Zheng
Changpin Li
Fawang Liu
|
|
+
|
On the Hadamard Type Fractional Differential System
|
2011
|
Ziqing Gong
Deliang Qian
Changpin Li
Peng Guo
|
|
+
PDF
Chat
|
Numerical simulation of the fractional Langevin equation
|
2011
|
Peng Guo
Changpin Li
Fanhai Zeng
|
|
+
PDF
Chat
|
Numerical algorithm based on fast convolution for fractional calculus
|
2011
|
An Chen
Peng Guo
Changpin Li
|
|
+
|
Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion
|
2011
|
Changpin Li
Zhengang Zhao
YangQuan Chen
|
|
+
|
Numerical approaches to fractional calculus and fractional ordinary differential equation
|
2011
|
Changpin Li
An Chen
Junjie Ye
|
|
+
PDF
Chat
|
Stability Analysis of Fractional Differential Systems with Order Lying in (1, 2)
|
2011
|
Fengrong Zhang
Changpin Li
|
|
+
PDF
Chat
|
Asymptotical Stability of Nonlinear Fractional Differential System with Caputo Derivative
|
2011
|
Fengrong Zhang
Changpin Li
YangQuan Chen
|
|
+
PDF
Chat
|
On Riemann-Liouville and Caputo Derivatives
|
2011
|
Changpin Li
Deliang Qian
YangQuan Chen
|
|
+
|
Equivalent Same-Order System for Multi-Rational-Order Fractional Differential System With Caputo Derivative
|
2011
|
Changpin Li
Fengrong Zhang
|
|
+
|
Stability analysis of the fractional differential systems with Miller-Ross sequential derivative
|
2010
|
Deliang Qian
Changpin Li
|
|
+
|
The finite element method for the generalized space fractional Fokker-Planck equation
|
2010
|
Zhengang Zhao
Changpin Li
|
|
+
|
On the finite element method for the time-space fractional advection dispersion equation
|
2010
|
Changpin Li
Zhengang Zhao
|
|
+
|
Stability analysis of fractional differential system with Riemann–Liouville derivative
|
2010
|
Deliang Qian
Changpin Li
Ravi P. Agarwal
Patricia J. Y. Wong
|
|
+
|
Fractional differential models for anomalous diffusion
|
2010
|
HongGuang Sun
Wen Chen
Changpin Li
YangQuan Chen
|
|
+
|
On the bound of the Lyapunov exponents for the fractional differential systems
|
2010
|
Changpin Li
Ziqing Gong
Deliang Qian
YangQuan Chen
|
|
+
PDF
Chat
|
A Fully Discrete Discontinuous Galerkin Method for Nonlinear Fractional Fokker-Planck Equation
|
2010
|
Yunying Zheng
Changpin Li
Zhengang Zhao
|
|
+
|
A note on the finite element method for the space-fractional advection diffusion equation
|
2009
|
Yunying Zheng
Changpin Li
Zhengang Zhao
|
|
+
|
On the fractional Adams method
|
2009
|
Changpin Li
Chunxing Tao
|
|
+
|
Asymptotical stability analysis of linear fractional differential systems
|
2009
|
Changpin Li
Zhengang Zhao
|
|
+
|
Numerical algorithm based on Adomian decomposition for fractional differential equations
|
2009
|
Changpin Li
Yihong Wang
|
|
+
|
Fractional derivatives in complex planes
|
2009
|
Changpin Li
Xuanhung Dao
Peng Guo
|
|
+
|
Numerical Approximation and Error Estimation of a Time Fractional Order Diffusion Equation
|
2009
|
Changpin Li
Zhengang Zhao
YangQuan Chen
|
|
+
|
Adomian’s Method Applied to Navier-Stokes Equation With a Fractional Order
|
2009
|
Yihong Wang
Zhengang Zhao
Changpin Li
YangQuan Chen
|
|
+
|
An Approximate Analytical Solution to the Family of Time Fractional Klein-Gordon Equations
|
2009
|
Changpin Li
|
|
+
PDF
Chat
|
A Fractional Model for the Allometric Scaling Laws
|
2008
|
Zhengang Zhao
Qian Guo
Changpin Li
|
|
+
|
The evolution of chaotic dynamics for fractional unified system
|
2007
|
Weihua Deng
Changpin Li
|
|
+
|
Attractors for one kind of lattice dynamical system
|
2007
|
Weihua Deng
Yu-Jiang Wu
Changpin Li
|
|
+
|
ANALYSIS OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH MULTI-ORDERS
|
2007
|
Weihua Deng
Changpin Li
Qian Guo
|
|
+
PDF
Chat
|
SYNCHRONIZATION OF LIMIT SETS
|
2007
|
Changpin Li
Weihua Deng
|
|
+
|
SCALING ATTRACTORS OF FRACTIONAL DIFFERENTIAL SYSTEMS
|
2006
|
Changpin Li
Weihua Deng
Guanrong Chen
|
|
+
|
Does the fractional Brusselator with efficient dimension less than 1 have a limit cycle?
|
2006
|
Yihong Wang
Changpin Li
|
|
+
|
Remarks on fractional derivatives
|
2006
|
Changpin Li
Weihua Deng
|
|
+
|
On chaos synchronization of fractional differential equations
|
2006
|
Jianping Yan
Changpin Li
|
|
+
|
CHAOS SYNCHRONIZATION OF FRACTIONAL-ORDER DIFFERENTIAL SYSTEMS
|
2006
|
Changpin Li
Weihua Deng
|
|
+
|
STABILITY ANALYSIS OF DIFFERENTIAL EQUATIONS WITH TIME-DEPENDENT DELAY
|
2006
|
Weihua Deng
Yu-Jiang Wu
Changpin Li
|
|
+
PDF
Chat
|
Synchronization in Delayed Discrete-time Complex Networks
|
2006
|
Weigang Sun
Changpin Li
Zhengping Fan
|
|
+
|
Synchronization of Limit Sets
|
2005
|
Changpin Li
Weihua Deng
|
|
+
|
Synchronization in delayed discrete-time complex networks
|
2005
|
Weigang Sun
Changpin Li
Zhengping Fan
|
|
+
|
On the bound of the Lyapunov exponents for continuous systems
|
2004
|
Changpin Li
Xiaohua Xia
|
|
+
|
Estimating the Lyapunov exponents of discrete systems
|
2004
|
Changpin Li
Guanrong Chen
|
|
+
|
On the modified Marotto Theorem
|
2004
|
Changpin Li
|
|
+
|
Chaos in Chen's system with a fractional order
|
2004
|
Changpin Li
Guojun Peng
|
|
+
|
A necessary condition of projective synchronization in discrete-time systems of arbitrary dimensions
|
2004
|
Daolin Xu
Chin Yi Chee
Changpin Li
|
|
+
|
On super-chaotifying discrete dynamical systems
|
2004
|
Changpin Li
|
|
+
|
A new method of determining chaos-parameter-region for the tent map
|
2004
|
Changpin Li
|
|
+
|
Erratum to “An improved version of the Marotto theorem” [Chaos, Solitons and Fractals 18 (2003) 69–77]
|
2003
|
Changpin Li
Guanrong Chen
|
|
+
|
A Note on Hopf Bifurcation in Chen's System
|
2003
|
Changpin Li
Guanrong Chen
|
|
+
|
An improved version of the Marotto Theorem
|
2003
|
Changpin Li
Guanrong Chen
|
|
+
|
ON A UNIVERSAL CHAOTIFICATION SCHEME IN THE SENSE OF LI-YORKE
|
2003
|
Changpin Li
Guanrong Chen
|
|
+
|
BIFURCATION ANALYSIS OF THE KURAMOTO–SIVASHINSKY EQUATION IN ONE SPATIAL DIMENSION
|
2001
|
Changpin Li
Guanrong Chen
|
|
+
|
BIFURCATIONS OF ONE-DIMENSIONAL REACTION–DIFFUSION EQUATIONS
|
2001
|
Changpin Li
Guanrong Chen
|
|
+
|
Remarks on bifurcations ofu + μu − u k=0 (4≤kεZ +)
|
2001
|
Changpin Li
|
|
+
|
Bifurcation of A Class of Reaction-Diffusion Equations
|
2001
|
Changpin Li
|
|
+
|
A note on bifurcations ofu ″+μ(u−u k)=0(4≤kεZ +)
|
2000
|
Changpin Li
|
|
+
|
On Bifurcations of an Ordinary Differential Equation
|
2000
|
Changpin Li
|
|
+
|
A numerical approach to hopf bifurcation points
|
1998
|
Zhonghua Yang
Changpin Li
|