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## Li, Changpin

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 Author ID: li.changpin Published as: Li, C.; Li, C. P.; Li, Chang-Pin; Li, Changpin Homepage: http://my.shu.edu.cn/Index.aspx?TID=4182 External Links: MGP · ORCID · ResearchGate · dblp
 Documents Indexed: 163 Publications since 1997, including 4 Books Reviewing Activity: 71 Reviews
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#### Co-Authors

 6 single-authored 16 Ding, Hengfei 14 Chen, Guanrong 13 Chen, Yangquan 12 Deng, Weihua 12 Sun, Weigang 12 Zeng, Fanhai 10 Zhang, Fengrong 9 Wu, Yujiang 8 Yang, Zhonghua 6 Chen, An 6 Zhao, Zhengang 5 Cao, Jianxiong 5 Kurths, Jürgen 5 Qian, Deliang 4 Liu, Fawang 4 Ma, Yutian 4 Wu, Yongqing 4 Yan, Jianping 3 Cai, Min 3 Guo, Peng 3 Guo, Qian 3 Li, Yan 3 Ma, Weiyuan 3 Peng, Guojun 3 Turner, Ian William 3 Yi, Qian 2 Du, Qiang 2 Li, Chengkuan 2 Li, Hefeng 2 Liu, Zengrong 2 Lu, Jinhu 2 Tong, Liyan 2 Xu, Daolin 2 Yang, Yueying 2 Zhang, Jingyuan 2 Zheng, Yunying 1 Agarwal, Ravi P. 1 Alomari, A. K. 1 Anh, Vo V. 1 Băleanu, Dumitru I. 1 Burrage, Kevin 1 Cai, Min 1 Chee, Chin Yi 1 Chen, Liqun 1 Chen, Wen 1 Chen, Xingxing 1 Chen, Yan 1 Chen, Zhanhe 1 Clarkson, Kyle 1 Daftardar-Gejji, Varsha 1 Dao, Xuanhung 1 Deng, Jingwei 1 Ding, Hu 1 Fang, Jinqing 1 Fu, Xinchu 1 Gao, Hongjun 1 Gong, Ziqing 1 Guo, Jian 1 Hesthaven, Jan S. 1 Hu, Ye 1 Jiang, Yaolin 1 Kou, Chunhai 1 Kou, Jisheng 1 Li, Chi-Kwong 1 Liu, Qun 1 Liu, Yang 1 Ma, Li 1 Machado, José António Tenreiro 1 Nazar, Roslinda Mohd 1 Noorani, Mohd Salmi Mohd 1 Podlubny, Igor 1 Sarwar, Shahzad 1 Shu, Chi-Wang 1 Song, Lunji 1 Srivastava, Hari Mohan 1 Sun, Hongguang 1 Sun, Wei 1 Sun, Yu 1 Tang, Tao 1 Tao, Chunxing 1 Vinagre, Blas Manuel 1 Wang, Yihong 1 Wang, Zhen 1 Wong, Patricia J. Y. 1 Wu, Rifang 1 Xia, Xiaohua 1 Xiao, Huang 1 Xu, Congxiang 1 Xu, Jian 1 Yang, Aili 1 Ye, Junjie 1 Ye, Ruisong 1 Zeng, Caibin 1 Zhang, Guoce 1 Zhang, Xinhong 1 Zhong, Wenwen 1 Zhou, Hua-Cheng 1 Zhou, Tianshou 1 Zhou, Zhi
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#### Serials

 15 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 12 Chaos, Solitons and Fractals 8 Chaos 8 Fractional Calculus & Applied Analysis 7 Computers & Mathematics with Applications 6 Journal of Shanghai University 5 Communication on Applied Mathematics and Computation 4 Journal of Computational Physics 4 Applied Mathematics and Computation 4 International Journal of Computer Mathematics 3 Numerical Functional Analysis and Optimization 3 Fractals 3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Modern Physics Letters B 2 International Journal of Modern Physics B 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Applied Numerical Mathematics 2 Numerical Methods for Partial Differential Equations 2 Journal of Scientific Computing 2 SIAM Journal on Scientific Computing 2 Numerical Mathematics 2 Nonlinear Dynamics 2 Abstract and Applied Analysis 2 Discrete Dynamics in Nature and Society 2 Communications in Nonlinear Science and Numerical Simulation 2 Journal of Systems Science and Complexity 2 Advances in Difference Equations 2 Communications in Theoretical Physics 2 Advances in Mathematical Physics 2 Communications on Applied Mathematics and Computation 1 Physics Letters. A 1 Journal of Computational and Applied Mathematics 1 Meccanica 1 SIAM Journal on Numerical Analysis 1 Journal of Mathematical Research & Exposition 1 Applied Mathematics and Mechanics. (English Edition) 1 Physica D 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Mathematica Applicata 1 Applied Mathematical Modelling 1 Applied Mathematics. Series B (English Edition) 1 Electronic Journal of Differential Equations (EJDE) 1 Integral Transforms and Special Functions 1 Complexity 1 Mathematical Problems in Engineering 1 Journal of Vibration and Control 1 Journal of Shanghai University. Natural Science 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Journal of the Physical Society of Japan 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Basic Sciences Journal of Textile Universities 1 Progress of Theoretical Physics 1 Interdisciplinary Mathematical Sciences 1 Tbilisi Mathematical Journal 1 International Journal of Differential Equations 1 Asian Journal of Control 1 Communications in Applied and Industrial Mathematics 1 Mathematics 1 Other Titles in Applied Mathematics 1 Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series
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#### Fields

 67 Ordinary differential equations (34-XX) 57 Numerical analysis (65-XX) 48 Partial differential equations (35-XX) 36 Real functions (26-XX) 25 Dynamical systems and ergodic theory (37-XX) 15 Systems theory; control (93-XX) 10 Biology and other natural sciences (92-XX) 7 Integral equations (45-XX) 5 General and overarching topics; collections (00-XX) 4 Combinatorics (05-XX) 4 Functional analysis (46-XX) 2 Difference and functional equations (39-XX) 2 Operator theory (47-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 2 Operations research, mathematical programming (90-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Fluid mechanics (76-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH

131 Publications have been cited 3,059 times in 2,002 Documents Cited by Year
Stability analysis of linear fractional differential system with multiple time delays. Zbl 1185.34115
Deng, Weihua; Li, Changpin; Lü, Jinhu
2007
Chaos in Chen’s system with a fractional order. Zbl 1060.37026
Li, Changpin; Peng, Guojun
2004
Remarks on fractional derivatives. Zbl 1125.26009
Li, Changpin; Deng, Weihua
2007
Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion. Zbl 1228.65190
Li, Changpin; Zhao, Zhengang; Chen, Yangquan
2011
A Crank-Nicolson ADI spectral method for a two-dimensional Riesz space fractional nonlinear reaction-diffusion equation. Zbl 1382.65349
Zeng, Fanhai; Liu, Fawang; Li, Changpin; Burrage, Kevin; Turner, Ian; Anh, V.
2014
The use of finite difference/element approaches for solving the time-fractional subdiffusion equation. Zbl 1292.65096
Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian
2013
Numerical methods for fractional calculus. Zbl 1326.65033
Li, Changpin; Zeng, Fanhai
2015
Numerical approaches to fractional calculus and fractional ordinary differential equation. Zbl 1218.65070
Li, Changpin; Chen, An; Ye, Junjie
2011
Numerical algorithms for time-fractional subdiffusion equation with second-order accuracy. Zbl 1334.65162
Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian
2015
Spectral approximations to the fractional integral and derivative. Zbl 1276.26016
Li, Changpin; Zeng, Fanhai; Liu, Fawang
2012
A note on the finite element method for the space-fractional advection diffusion equation. Zbl 1189.65288
Zheng, Yunying; Li, Changpin; Zhao, Zhengang
2010
On the fractional Adams method. Zbl 1189.65142
Li, Changpin; Tao, Chunxing
2009
Stability analysis of fractional differential system with Riemann-Liouville derivative. Zbl 1202.34020
Qian, Deliang; Li, Changpin; Agarwal, Ravi P.; Wong, Patricia J. Y.
2010
On chaos synchronization of fractional differential equations. Zbl 1132.37308
Yan, Jianping; Li, Changpin
2007
High-order algorithms for Riesz derivative and their applications. II. Zbl 1349.65284
Ding, Hengfei; Li, Changpin; Chen, YangQuan
2015
Numerical algorithm based on Adomian decomposition for fractional differential equations. Zbl 1186.65110
Li, Changpin; Wang, Yihong
2009
Finite difference methods for fractional differential equations. Zbl 1258.34018
Li, Changpin; Zeng, Fanhai
2012
Synchronization in fractional-order differential systems. Zbl 1094.34034
Zhou, Tianshou; Li, Changpin
2005
Fractional difference/finite element approximations for the time-space fractional telegraph equation. Zbl 1309.65101
Zhao, Zhengang; Li, Changpin
2012
Finite difference methods with non-uniform meshes for nonlinear fractional differential equations. Zbl 1349.65246
Li, Changpin; Yi, Qian; Chen, An
2016
Outer synchronization of coupled discrete-time networks. Zbl 1311.34115
Li, Changpin; Xu, Congxiang; Sun, Weigang; Xu, Jian; Kurths, Jürgen
2009
The finite difference methods for fractional ordinary differential equations. Zbl 1267.65094
Li, Changpin; Zeng, Fanhai
2013
Fractional dynamical system and its linearization theorem. Zbl 1268.34019
Li, Changpin; Ma, Yutian
2013
Finite difference schemes for variable-order time fractional diffusion equation. Zbl 1258.65079
Sun, Hongguang; Chen, Wen; Li, Changpin; Chen, Yangquan
2012
An improved version of the Marotto theorem. Zbl 1135.37311
Li, Changpin; Chen, Guanrong
2003
Synchronization of chaotic fractional Chen system. Zbl 1080.34537
Deng, Weihua; Li, Changpin
2005
On Riemann-Liouville and Caputo derivatives. Zbl 1213.26008
Li, Changpin; Qian, Deliang; Chen, Yangquan
2011
Homotopy analysis method for solving fractional Lorenz system. Zbl 1222.65082
Alomari, A. K.; Noorani, M. S. M.; Nazar, R.; Li, C. P.
2010
High-order algorithms for Riesz derivative and their applications. III. Zbl 1332.65122
Ding, Hengfei; Li, Changpin
2016
High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations. II. Zbl 1325.65121
Cao, Jianxiong; Li, Changpin; Chen, YangQuan
2015
High-order numerical algorithms for Riesz derivatives via constructing new generating functions. Zbl 1398.65030
Ding, Hengfei; Li, Changpin
2017
Higher order finite difference method for the reaction and anomalous-diffusion equation. Zbl 1429.65188
Li, Changpin; Ding, Hengfei
2014
Fractional derivatives in complex planes. Zbl 1173.26305
Li, Changpin; Dao, Xuanhung; Guo, Peng
2009
A note on Hopf bifurcation in Chen’s system. Zbl 1074.34045
Li, Changpin; Chen, Guanrong
2003
High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations. III. Zbl 1382.65251
Li, Hefeng; Cao, Jianxiong; Li, Changpin
2016
Asymptotical stability of nonlinear fractional differential system with Caputo derivative. Zbl 1239.34008
Zhang, Fengrong; Li, Changpin; Chen, Yangquan
2011
The evolution of chaotic dynamics for fractional unified system. Zbl 1217.37026
Deng, Weihua; Li, Changpin
2008
On the bound of the Lyapunov exponents for the fractional differential systems. Zbl 1311.34016
Li, Changpin; Gong, Ziqing; Qian, Deliang; Chen, YangQuan
2010
Chaos synchronization in fractional differential systems. Zbl 1342.34070
Zhang, Fengrong; Chen, Guanrong; Li, Changpin; Kurths, Jürgen
2013
Convergence speed of a fractional order consensus algorithm over undirected scale-free networks. Zbl 1263.93013
Sun, Wei; Li, Yan; Li, Changpin; Chen, Yangquan
2011
Chaos synchronization of fractional-order differential systems. Zbl 1101.37025
Li, Changpin; Deng, Weihua
2006
Generalized synchronization between two different complex networks. Zbl 1239.93052
Wu, Yongqing; Li, Changpin; Wu, Yujiang; Kurths, Jürgen
2012
Estimating the Lyapunov exponents of discrete systems. Zbl 1080.37032
Li, Changpin; Chen, Guanrong
2004
Numerical solution of fractional diffusion-wave equation. Zbl 1382.65236
Chen, An; Li, Changpin
2016
Mixed spline function method for reaction-subdiffusion equations. Zbl 1297.65091
Ding, Hengfei; Li, Changpin
2013
Analysis of fractional differential equations with multi-orders. Zbl 1176.34008
Deng, Weihua; Li, Changpin; Guo, Qian
2007
The cyclicity of period annuli of some classes of reversible quadratic systems. Zbl 1119.34028
Chen, Guoting; Li, C.; Llibre, J.; Liu, C.
2006
On Hadamard fractional calculus. Zbl 1371.26009
Ma, Li; Li, Changpin
2017
Pinning adaptive anti-synchronization between two general complex dynamical networks with non-delayed and delayed coupling. Zbl 1264.34151
Wu, Yongqing; Li, Changpin; Yang, Aili; Song, Lunji; Wu, Yujiang
2012
Bifurcations of a Holling-type II predator-prey system with constant rate harvesting. Zbl 1175.34062
Peng, Guojun; Jiang, Yaolin; Li, Changpin
2009
A necessary condition of projective synchronization in discrete-time systems of arbitrary dimensions. Zbl 1060.93535
Xu, Daolin; Chee, Chin Yi; Li, Changpin
2004
A fully discrete discontinuous Galerkin method for nonlinear fractional Fokker-Planck equation. Zbl 1202.65157
Zheng, Yunying; Li, Changpin; Zhao, Zhengang
2010
On the Marotto-Li-Chen theorem and its application to chaotification of multi-dimensional discrete dynamical systems. Zbl 1069.37024
Li, Changpin; Chen, Guanrong
2003
A new Crank-Nicolson finite element method for the time-fractional subdiffusion equation. Zbl 1372.65276
Zeng, Fanhai; Li, Changpin
2017
High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations. Zbl 1329.65182
Li, Changpin; Wu, Rifang; Ding, Hengfei
2014
Numerics for the fractional Langevin equation driven by the fractional Brownian motion. Zbl 1312.34093
Guo, Peng; Zeng, Caibin; Li, Changpin; Chen, YangQuan
2013
The local discontinuous Galerkin finite element methods for Caputo-type partial differential equations: numerical analysis. Zbl 1435.65161
Li, Changpin; Wang, Zhen
2019
Impulsive synchronization of fractional Takagi-Sugeno fuzzy complex networks. Zbl 1378.34004
Ma, Weiyuan; Li, Changpin; Wu, Yujiang
2016
A novel compact ADI scheme for the time-fractional subdiffusion equation in two space dimensions. Zbl 1390.65062
Chen, An; Li, Changpin
2016
Equivalent system for a multiple-rational-order fractional differential system. Zbl 1342.34012
Li, Changpin; Zhang, Fengrong; Kurths, Jürgen; Zeng, Fanhai
2013
Generalized projective synchronization of chaos: The cascade synchronization approach. Zbl 1144.37370
Li, Changpin; Yan, Jianping
2006
High-order compact difference schemes for the modified anomalous subdiffusion equation. Zbl 1339.65109
Ding, Hengfei; Li, Changpin
2016
Finite difference method for time-space-fractional Schrödinger equation. Zbl 1325.65124
Liu, Qun; Zeng, Fanhai; Li, Changpin
2015
Compact difference method for solving the fractional reaction-subdiffusion equation with Neumann boundary value condition. Zbl 1308.65140
Cao, Jianxiong; Li, Changpin; Chen, Yangquan
2015
Synchronization inside complex dynamical networks with double time-delays and nonlinear inner-coupling functions. Zbl 1334.93028
Sun, Weigang; Yang, Yueying; Li, Changpin; Liu, Zengrong
2011
Synchronization analysis of two coupled complex networks with time delays. Zbl 1259.34074
Sun, Weigang; Zhang, Jingyuan; Li, Changpin
2011
Stability analysis of fractional differential systems with order lying in $$(1, 2)$$. Zbl 1219.34012
Zhang, Fengrong; Li, Changpin
2011
On the bound of the Lyapunov exponents for continuous systems. Zbl 1080.34038
Li, Changpin; Xia, Xiaohua
2004
Fractional calculus and its applications. Zbl 1338.00072
Li, Changpin (ed.); Chen, YangQuan (ed.); Kurths, Jürgen (ed.)
2013
The finite difference method for Caputo-type parabolic equation with fractional Laplacian: one-dimension case. Zbl 1422.65157
Hu, Ye; Li, Changpin; Li, Hefeng
2017
High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations: revisited. Zbl 1373.26005
Li, Changpin; Cai, Min
2017
Fractional-compact numerical algorithms for Riesz spatial fractional reaction-dispersion equations. Zbl 1365.65194
Ding, Hengfei; Li, Changpin
2017
High-order algorithms for Riesz derivative and their applications. I. Zbl 1434.65113
Ding, Hengfei; Li, Changpin; Chen, YangQuan
2014
Chaotic vibration in fractional maps. Zbl 1348.37029
Xiao, Huang; Ma, Yutian; Li, Changpin
2014
On defining the distributions $$\delta^k$$ and $$(\delta')^k$$ by fractional derivatives. Zbl 1338.46053
Li, Chenkuan; Li, Changpin
2014
Numerical algorithms for the fractional diffusion-wave equation with reaction term. Zbl 1291.65261
Ding, Hengfei; Li, Changpin
2013
Existence and continuation theorems of Riemann-Liouville type fractional differential equations. Zbl 1258.34016
Kou, Chunhai; Zhou, Huacheng; Li, Changpin
2012
Stability analysis of differential equations with time-dependent delay. Zbl 1112.34056
Deng, Weihua; Wu, Yujiang; Li, Changpin
2006
Bifurcation analysis of the Kuramoto-Sivashinsky equation in one spatial dimension. Zbl 1091.35541
Li, Changpin; Chen, Guanrong
2001
High-order algorithms for Riesz derivative and their applications. V. Zbl 1376.65024
Ding, Hengfei; Li, Changpin
2017
The asymptotics of the solutions to the anomalous diffusion equations. Zbl 1345.35133
Ma, Yutian; Zhang, Fengrong; Li, Changpin
2013
Generalized projective synchronization for the chaotic Lorenz system and the chaotic Chen system. Zbl 1118.34050
Yan, Jianping; Li, Changpin
2006
Synchronization of complex dynamical networks with nonlinear inner-coupling functions and time delays. Zbl 1094.34056
Li, Changpin; Sun, Weigang; Xu, Daolin
2005
On super-chaotifying discrete dynamical systems. Zbl 1045.37012
Li, Changpin
2004
A numerical approach to the generalized nonlinear fractional Fokker-Planck equation. Zbl 1268.65140
Zhao, Zhengang; Li, Changpin
2012
Bifurcation from an equilibrium of the steady state Kuramoto-Sivashinsky equation in two spatial dimensions. Zbl 1042.35021
Li, Changpin; Chen, Guanrong
2002
Finite difference method for two-dimensional nonlinear time-fractional subdiffusion equation. Zbl 1428.65010
Li, Changpin; Yi, Qian
2018
Finite difference methods for a time subdiffusion equation with space fourth-order. Zbl 1313.65215
Guo, Jian; Li, Changpin; Ding, Hengfei
2014
Scaling attractors of fractional differential systems. Zbl 1147.34042
Li, Changpin; Deng, Weihua; Chen, Guanrong
2006
Existence and continuation of solutions for Caputo type fractional differential equations. Zbl 1346.34008
2016
Asymptotical stability analysis of linear fractional differential systems. Zbl 1212.34009
Li, Changpin; Zhao, Zhengang
2009
On synchronization of three chaotic systems. Zbl 1068.94535
Yan, Jianping; Li, Changpin
2005
Symmetry-breaking bifurcation in $$O(2)\times O(2)$$-symmetric nonlinear large problems and its application to the Kuramoto-Sivashinsky equation in two spatial dimensions. Zbl 1063.35136
Li, Changpin; Yang, Zhonghua
2004
A note on bifurcation control. Zbl 1129.93411
Chen, Guanrong; Li, Changpin
2003
Bifurcations of one-dimensional reaction-diffusion equations. Zbl 1090.34548
Li, Changpin; Chen, Guanrong
2001
A high-order algorithm for time-Caputo-tempered partial differential equation with Riesz derivatives in two spatial dimensions. Zbl 1447.35351
Ding, Hengfei; Li, Changpin
2019
Regularity of the solution to Riesz-type fractional differential equation. Zbl 1431.34008
Cai, Min; Li, Changpin
2019
Transverse free vibration and stability of axially moving nanoplates based on nonlocal elasticity theory. Zbl 1446.74028
Liu, J. J.; Li, C.; Fan, X. L.; Tong, L. H.
2017
Synchronization of fractional fuzzy cellular neural networks with interactions. Zbl 1390.34011
Ma, Weiyuan; Li, Changpin; Wu, Yujiang; Wu, Yongqing
2017
Asymptotically compatible schemes for space-time nonlocal diffusion equations. Zbl 1422.65279
Chen, An; Du, Qiang; Li, Changpin; Zhou, Zhi
2017
The local discontinuous Galerkin finite element methods for Caputo-type partial differential equations: mathematical analysis. Zbl 1450.65125
Li, Changpin; Wang, Zhen
2020
The local discontinuous Galerkin finite element methods for Caputo-type partial differential equations: numerical analysis. Zbl 1435.65161
Li, Changpin; Wang, Zhen
2019
A high-order algorithm for time-Caputo-tempered partial differential equation with Riesz derivatives in two spatial dimensions. Zbl 1447.35351
Ding, Hengfei; Li, Changpin
2019
Regularity of the solution to Riesz-type fractional differential equation. Zbl 1431.34008
Cai, Min; Li, Changpin
2019
On Riesz derivative. Zbl 1426.26010
Cai, Min; Li, Changpin
2019
Finite-time stability analysis of fractional differential systems with variable coefficients. Zbl 1406.34026
Zhang, Fengrong; Qian, Deliang; Li, Changpin
2019
Modeling and computing of fractional convection equation. Zbl 07157746
Li, Changpin; Yi, Qian
2019
Synchronization in tempered fractional complex networks via auxiliary system approach. Zbl 1432.92038
Ma, Weiyuan; Li, Changpin; Deng, Jingwei
2019
Finite difference method for two-dimensional nonlinear time-fractional subdiffusion equation. Zbl 1428.65010
Li, Changpin; Yi, Qian
2018
High-order numerical approximation formulas for Riemann-Liouville (Riesz) tempered fractional derivatives: construction and application. II. Zbl 1407.65100
Ding, Hengfei; Li, Changpin
2018
Hopf bifurcation of a delayed predator-prey model with nonconstant death rate and constant-rate prey harvesting. Zbl 1416.34074
Zhang, Fengrong; Zhang, Xinhong; Li, Yan; Li, Changpin
2018
Several results of fractional differential and integral equations in distribution. Zbl 1409.46030
Li, Chenkuan; Li, Changpin; Clarkson, Kyle
2018
High-order numerical algorithms for Riesz derivatives via constructing new generating functions. Zbl 1398.65030
Ding, Hengfei; Li, Changpin
2017
On Hadamard fractional calculus. Zbl 1371.26009
Ma, Li; Li, Changpin
2017
A new Crank-Nicolson finite element method for the time-fractional subdiffusion equation. Zbl 1372.65276
Zeng, Fanhai; Li, Changpin
2017
The finite difference method for Caputo-type parabolic equation with fractional Laplacian: one-dimension case. Zbl 1422.65157
Hu, Ye; Li, Changpin; Li, Hefeng
2017
High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations: revisited. Zbl 1373.26005
Li, Changpin; Cai, Min
2017
Fractional-compact numerical algorithms for Riesz spatial fractional reaction-dispersion equations. Zbl 1365.65194
Ding, Hengfei; Li, Changpin
2017
High-order algorithms for Riesz derivative and their applications. V. Zbl 1376.65024
Ding, Hengfei; Li, Changpin
2017
Transverse free vibration and stability of axially moving nanoplates based on nonlocal elasticity theory. Zbl 1446.74028
Liu, J. J.; Li, C.; Fan, X. L.; Tong, L. H.
2017
Synchronization of fractional fuzzy cellular neural networks with interactions. Zbl 1390.34011
Ma, Weiyuan; Li, Changpin; Wu, Yujiang; Wu, Yongqing
2017
Asymptotically compatible schemes for space-time nonlocal diffusion equations. Zbl 1422.65279
Chen, An; Du, Qiang; Li, Changpin; Zhou, Zhi
2017
Remarks on fractional derivatives of distributions. Zbl 1358.46038
Li, Chenkuan; Li, Changpin
2017
An alternating direction Galerkin method for a time-fractional partial differential equation with damping in two space dimensions. Zbl 1444.65048
Chen, An; Li, Changpin
2017
Finite difference methods with non-uniform meshes for nonlinear fractional differential equations. Zbl 1349.65246
Li, Changpin; Yi, Qian; Chen, An
2016
High-order algorithms for Riesz derivative and their applications. III. Zbl 1332.65122
Ding, Hengfei; Li, Changpin
2016
High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations. III. Zbl 1382.65251
Li, Hefeng; Cao, Jianxiong; Li, Changpin
2016
Numerical solution of fractional diffusion-wave equation. Zbl 1382.65236
Chen, An; Li, Changpin
2016
Impulsive synchronization of fractional Takagi-Sugeno fuzzy complex networks. Zbl 1378.34004
Ma, Weiyuan; Li, Changpin; Wu, Yujiang
2016
A novel compact ADI scheme for the time-fractional subdiffusion equation in two space dimensions. Zbl 1390.65062
Chen, An; Li, Changpin
2016
High-order compact difference schemes for the modified anomalous subdiffusion equation. Zbl 1339.65109
Ding, Hengfei; Li, Changpin
2016
Existence and continuation of solutions for Caputo type fractional differential equations. Zbl 1346.34008
2016
Numerical methods for fractional calculus. Zbl 1326.65033
Li, Changpin; Zeng, Fanhai
2015
Numerical algorithms for time-fractional subdiffusion equation with second-order accuracy. Zbl 1334.65162
Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian
2015
High-order algorithms for Riesz derivative and their applications. II. Zbl 1349.65284
Ding, Hengfei; Li, Changpin; Chen, YangQuan
2015
High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations. II. Zbl 1325.65121
Cao, Jianxiong; Li, Changpin; Chen, YangQuan
2015
Finite difference method for time-space-fractional Schrödinger equation. Zbl 1325.65124
Liu, Qun; Zeng, Fanhai; Li, Changpin
2015
Compact difference method for solving the fractional reaction-subdiffusion equation with Neumann boundary value condition. Zbl 1308.65140
Cao, Jianxiong; Li, Changpin; Chen, Yangquan
2015
A Crank-Nicolson ADI spectral method for a two-dimensional Riesz space fractional nonlinear reaction-diffusion equation. Zbl 1382.65349
Zeng, Fanhai; Liu, Fawang; Li, Changpin; Burrage, Kevin; Turner, Ian; Anh, V.
2014
Higher order finite difference method for the reaction and anomalous-diffusion equation. Zbl 1429.65188
Li, Changpin; Ding, Hengfei
2014
High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations. Zbl 1329.65182
Li, Changpin; Wu, Rifang; Ding, Hengfei
2014
High-order algorithms for Riesz derivative and their applications. I. Zbl 1434.65113
Ding, Hengfei; Li, Changpin; Chen, YangQuan
2014
Chaotic vibration in fractional maps. Zbl 1348.37029
Xiao, Huang; Ma, Yutian; Li, Changpin
2014
On defining the distributions $$\delta^k$$ and $$(\delta')^k$$ by fractional derivatives. Zbl 1338.46053
Li, Chenkuan; Li, Changpin
2014
Finite difference methods for a time subdiffusion equation with space fourth-order. Zbl 1313.65215
Guo, Jian; Li, Changpin; Ding, Hengfei
2014
Computation of universal unfolding of the double zero bifurcation in the $$Z_{2}$$-symmetric system. Zbl 1405.34033
Peng, Guojun; Li, Changpin
2014
The use of finite difference/element approaches for solving the time-fractional subdiffusion equation. Zbl 1292.65096
Zeng, Fanhai; Li, Changpin; Liu, Fawang; Turner, Ian
2013
The finite difference methods for fractional ordinary differential equations. Zbl 1267.65094
Li, Changpin; Zeng, Fanhai
2013
Fractional dynamical system and its linearization theorem. Zbl 1268.34019
Li, Changpin; Ma, Yutian
2013
Chaos synchronization in fractional differential systems. Zbl 1342.34070
Zhang, Fengrong; Chen, Guanrong; Li, Changpin; Kurths, Jürgen
2013
Mixed spline function method for reaction-subdiffusion equations. Zbl 1297.65091
Ding, Hengfei; Li, Changpin
2013
Numerics for the fractional Langevin equation driven by the fractional Brownian motion. Zbl 1312.34093
Guo, Peng; Zeng, Caibin; Li, Changpin; Chen, YangQuan
2013
Equivalent system for a multiple-rational-order fractional differential system. Zbl 1342.34012
Li, Changpin; Zhang, Fengrong; Kurths, Jürgen; Zeng, Fanhai
2013
Fractional calculus and its applications. Zbl 1338.00072
Li, Changpin (ed.); Chen, YangQuan (ed.); Kurths, Jürgen (ed.)
2013
Numerical algorithms for the fractional diffusion-wave equation with reaction term. Zbl 1291.65261
Ding, Hengfei; Li, Changpin
2013
The asymptotics of the solutions to the anomalous diffusion equations. Zbl 1345.35133
Ma, Yutian; Zhang, Fengrong; Li, Changpin
2013
Editorial: Advanced topics in fractional dynamics. Zbl 1298.00091
Baleanu, Dumitru (ed.); Srivastava, H. M. (ed.); Daftardar-Gejji, Varsha (ed.); Li, Changpin (ed.); Machado, J. A. Tenreiro (ed.)
2013
Numerical fractional-calculus model for two-phase flow in fractured media. Zbl 1291.76319
Zhong, Wenwen; Li, Changpin; Kou, Jisheng
2013
Gronwall inequalities. Zbl 1318.26051
Zeng, Fanhai; Cao, Jianxiong; Li, Changpin
2013
Topological properties of Fibonacci networks. Zbl 1284.05256
Zhang, Jing-Yuan; Sun, Wei-Gang; Tong, Li-Yan; Li, Chang-Pin
2013
Implicit difference schemes for fractional diffusion equations. Zbl 1289.65177
Cao, Jianxiong; Ding, Hengfei; Li, Changpin
2013
Recent advances in applied nonlinear dynamics with numerical analysis. Fractional dynamics, network dynamics, classical dynamics and fractal dynamics with their numerical simulations. Festschrift dedicated to Zhong-hua Yang on the occasion of his 70th birthday. Zbl 1261.65005
Li, Changpin (ed.); Wu, Yujiang (ed.); Ye, Ruisong (ed.)
2013
Spectral approximations to the fractional integral and derivative. Zbl 1276.26016
Li, Changpin; Zeng, Fanhai; Liu, Fawang
2012
Finite difference methods for fractional differential equations. Zbl 1258.34018
Li, Changpin; Zeng, Fanhai
2012
Fractional difference/finite element approximations for the time-space fractional telegraph equation. Zbl 1309.65101
Zhao, Zhengang; Li, Changpin
2012
Finite difference schemes for variable-order time fractional diffusion equation. Zbl 1258.65079
Sun, Hongguang; Chen, Wen; Li, Changpin; Chen, Yangquan
2012
Generalized synchronization between two different complex networks. Zbl 1239.93052
Wu, Yongqing; Li, Changpin; Wu, Yujiang; Kurths, Jürgen
2012
Pinning adaptive anti-synchronization between two general complex dynamical networks with non-delayed and delayed coupling. Zbl 1264.34151
Wu, Yongqing; Li, Changpin; Yang, Aili; Song, Lunji; Wu, Yujiang
2012
Existence and continuation theorems of Riemann-Liouville type fractional differential equations. Zbl 1258.34016
Kou, Chunhai; Zhou, Huacheng; Li, Changpin
2012
A numerical approach to the generalized nonlinear fractional Fokker-Planck equation. Zbl 1268.65140
Zhao, Zhengang; Li, Changpin
2012
On the fractional mean-value theorem. Zbl 1258.26003
Guo, Peng; Li, Changpin; Chen, Guanrong
2012
Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion. Zbl 1228.65190
Li, Changpin; Zhao, Zhengang; Chen, Yangquan
2011
Numerical approaches to fractional calculus and fractional ordinary differential equation. Zbl 1218.65070
Li, Changpin; Chen, An; Ye, Junjie
2011
On Riemann-Liouville and Caputo derivatives. Zbl 1213.26008
Li, Changpin; Qian, Deliang; Chen, Yangquan
2011
Asymptotical stability of nonlinear fractional differential system with Caputo derivative. Zbl 1239.34008
Zhang, Fengrong; Li, Changpin; Chen, Yangquan
2011
Convergence speed of a fractional order consensus algorithm over undirected scale-free networks. Zbl 1263.93013
Sun, Wei; Li, Yan; Li, Changpin; Chen, Yangquan
2011
Synchronization inside complex dynamical networks with double time-delays and nonlinear inner-coupling functions. Zbl 1334.93028
Sun, Weigang; Yang, Yueying; Li, Changpin; Liu, Zengrong
2011
Synchronization analysis of two coupled complex networks with time delays. Zbl 1259.34074
Sun, Weigang; Zhang, Jingyuan; Li, Changpin
2011
Stability analysis of fractional differential systems with order lying in $$(1, 2)$$. Zbl 1219.34012
Zhang, Fengrong; Li, Changpin
2011
A note on the finite element method for the space-fractional advection diffusion equation. Zbl 1189.65288
Zheng, Yunying; Li, Changpin; Zhao, Zhengang
2010
Stability analysis of fractional differential system with Riemann-Liouville derivative. Zbl 1202.34020
Qian, Deliang; Li, Changpin; Agarwal, Ravi P.; Wong, Patricia J. Y.
2010
Homotopy analysis method for solving fractional Lorenz system. Zbl 1222.65082
Alomari, A. K.; Noorani, M. S. M.; Nazar, R.; Li, C. P.
2010
On the bound of the Lyapunov exponents for the fractional differential systems. Zbl 1311.34016
Li, Changpin; Gong, Ziqing; Qian, Deliang; Chen, YangQuan
2010
A fully discrete discontinuous Galerkin method for nonlinear fractional Fokker-Planck equation. Zbl 1202.65157
Zheng, Yunying; Li, Changpin; Zhao, Zhengang
2010
Synchronization analysis between two networks with mutual connections. Zbl 1240.05285
Sun, Yu; Sun, Weigang; Li, Changpin
2010
On the fractional Adams method. Zbl 1189.65142
Li, Changpin; Tao, Chunxing
2009
Numerical algorithm based on Adomian decomposition for fractional differential equations. Zbl 1186.65110
Li, Changpin; Wang, Yihong
2009
Outer synchronization of coupled discrete-time networks. Zbl 1311.34115
Li, Changpin; Xu, Congxiang; Sun, Weigang; Xu, Jian; Kurths, Jürgen
2009
Fractional derivatives in complex planes. Zbl 1173.26305
Li, Changpin; Dao, Xuanhung; Guo, Peng
2009
Bifurcations of a Holling-type II predator-prey system with constant rate harvesting. Zbl 1175.34062
Peng, Guojun; Jiang, Yaolin; Li, Changpin
2009
Asymptotical stability analysis of linear fractional differential systems. Zbl 1212.34009
Li, Changpin; Zhao, Zhengang
2009
The evolution of chaotic dynamics for fractional unified system. Zbl 1217.37026
Deng, Weihua; Li, Changpin
2008
Stability analysis of linear fractional differential system with multiple time delays. Zbl 1185.34115
Deng, Weihua; Li, Changpin; Lü, Jinhu
2007
Remarks on fractional derivatives. Zbl 1125.26009
Li, Changpin; Deng, Weihua
2007
On chaos synchronization of fractional differential equations. Zbl 1132.37308
Yan, Jianping; Li, Changpin
2007
Analysis of fractional differential equations with multi-orders. Zbl 1176.34008
Deng, Weihua; Li, Changpin; Guo, Qian
2007
Synchronization and bifurcation analysis in coupled networks of discrete-time systems. Zbl 1267.34089
Sun, Wei-Gang; Chen, Yan; Li, Chang-Pin; Fang, Jin-Qing
2007
Synchronization of limit sets. Zbl 1117.37019
Li, Changpin; Deng, Weihua
2007
Chaos synchronization of fractional-order differential systems. Zbl 1101.37025
Li, Changpin; Deng, Weihua
2006
The cyclicity of period annuli of some classes of reversible quadratic systems. Zbl 1119.34028
Chen, Guoting; Li, C.; Llibre, J.; Liu, C.
2006
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 131 Nonlinear Dynamics 117 Chaos, Solitons and Fractals 102 Applied Mathematics and Computation 100 Computers & Mathematics with Applications 86 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 79 Advances in Difference Equations 73 Applied Numerical Mathematics 64 Chaos 63 Fractional Calculus & Applied Analysis 62 Communications in Nonlinear Science and Numerical Simulation 60 Journal of Computational Physics 56 Journal of Computational and Applied Mathematics 53 Numerical Algorithms 47 Journal of Scientific Computing 42 Abstract and Applied Analysis 41 Mathematical Problems in Engineering 37 Applied Mathematics Letters 35 Discrete Dynamics in Nature and Society 31 Applied Mathematical Modelling 29 Computational and Applied Mathematics 22 Journal of the Franklin Institute 19 Advances in Mathematical Physics 17 International Journal of Computer Mathematics 17 SIAM Journal on Scientific Computing 16 Complexity 16 Journal of Applied Mathematics and Computing 16 Asian Journal of Control 14 International Journal of Modern Physics B 13 Fractals 12 SIAM Journal on Numerical Analysis 12 Engineering Analysis with Boundary Elements 11 Physica A 11 Neural Networks 10 Mathematical Methods in the Applied Sciences 10 Numerical Methods for Partial Differential Equations 10 Journal of Applied Mathematics 10 International Journal of Biomathematics 9 Journal of Mathematical Analysis and Applications 9 Mediterranean Journal of Mathematics 8 Journal of Vibration and Control 8 Communications on Applied Mathematics and Computation 7 International Journal of Control 7 Journal of Optimization Theory and Applications 7 Mathematics and Computers in Simulation 7 Journal of Shanghai University 7 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 7 Journal of Nonlinear Science and Applications 7 International Journal of Differential Equations 6 BIT 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Nonlinear Analysis. Modelling and Control 6 Discrete and Continuous Dynamical Systems. Series B 6 Boundary Value Problems 6 Mathematical Modelling of Natural Phenomena 6 Symmetry 6 Journal of Applied Analysis and Computation 6 International Journal of Applied and Computational Mathematics 5 Computer Methods in Applied Mechanics and Engineering 5 Mathematical and Computer Modelling 5 International Journal of Nonlinear Sciences and Numerical Simulation 5 Nonlinear Analysis. Real World Applications 5 Journal of Systems Science and Complexity 5 Discrete and Continuous Dynamical Systems. Series S 5 Mathematics 4 Applicable Analysis 4 Journal of Mathematical Physics 4 Automatica 4 Journal of Differential Equations 4 Numerical Functional Analysis and Optimization 4 Circuits, Systems, and Signal Processing 4 Advances in Computational Mathematics 4 Soft Computing 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Entropy 4 Fractional Differential Calculus 4 East Asian Journal on Applied Mathematics 4 Open Mathematics 3 Modern Physics Letters B 3 Rocky Mountain Journal of Mathematics 3 Mathematics of Computation 3 Calcolo 3 Systems & Control Letters 3 Physica D 3 Computational Mechanics 3 Taiwanese Journal of Mathematics 3 Lobachevskii Journal of Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Science China. Mathematics 3 Arabian Journal for Science and Engineering 3 S$$\vec{\text{e}}$$MA Journal 3 Axioms 3 Journal of Function Spaces 3 Vestnik KRAUNTS. Fiziko-Matematicheskie Nauki 2 Computers and Fluids 2 Journal of Mathematical Biology 2 Theoretical and Mathematical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Information Sciences 2 Acta Applicandae Mathematicae 2 Bulletin of the Iranian Mathematical Society ...and 114 more Serials