# zbMATH — the first resource for mathematics

## Mei, Zhandong

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 Author ID: mei.zhandong Published as: Mei, Z.; Mei, Zhan-Dong; Mei, Zhandong
 Documents Indexed: 28 Publications since 1990
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#### Co-Authors

 1 single-authored 19 Peng, Jigen 3 Gao, Jinghuai 2 Guo, Bao-Zhu 2 Jia, Junxiong 2 Zhang, Yang 1 Song, Xueli 1 Zhang, Yang 1 Zhang, Yang
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#### Serials

 2 Semigroup Forum 2 Systems & Control Letters 2 Indagationes Mathematicae. New Series 1 Applicable Analysis 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Studia Mathematica 1 Automatica 1 Functional Analysis and its Applications 1 IEEE Transactions on Automatic Control 1 Integral Equations and Operator Theory 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 Electronic Journal of Differential Equations (EJDE) 1 Abstract and Applied Analysis 1 Fractional Calculus & Applied Analysis 1 Journal of Dynamical and Control Systems 1 Communications on Pure and Applied Analysis 1 Asian Journal of Control
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#### Fields

 11 Ordinary differential equations (34-XX) 9 Operator theory (47-XX) 8 Systems theory; control (93-XX) 3 Biology and other natural sciences (92-XX) 2 Special functions (33-XX) 2 Partial differential equations (35-XX) 1 Real functions (26-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX)

#### Citations contained in zbMATH

17 Publications have been cited 53 times in 44 Documents Cited by Year
A characteristic of fractional resolvents. Zbl 1314.34022
Mei, Zhan-Dong; Peng, Ji-Gen; Zhang, Yang
2013
An operator theoretical approach to Riemann-Liouville fractional Cauchy problem. Zbl 1322.34011
Mei, Zhan-Dong; Peng, Ji-Gen; Zhang, Yang
2015
Well-posedness and time-decay for compressible viscoelastic fluids in critical Besov space. Zbl 1311.35219
Jia, Junxiong; Peng, Jigen; Mei, Zhandong
2014
On robustness of exact controllability and exact observability under cross perturbations of the generator in Banach spaces. Zbl 1203.93026
Mei, Zhan-Dong; Peng, Ji-Gen
2010
General fractional differential equations of order $$\alpha \in (1,2)$$ and type $$\beta \in [0,1]$$ in Banach spaces. Zbl 1375.34007
Mei, Zhan-Dong; Peng, Ji-Gen; Gao, Jing-Huai
2017
Existence and uniqueness of solutions for nonlinear general fractional differential equations in Banach spaces. Zbl 1323.34010
Mei, Zhan-Dong; Peng, Ji-Gen; Gao, Jing-Huai
2015
A new characteristic property of Mittag-Leffler functions and fractional cosine functions. Zbl 1297.33015
Mei, Zhan-Dong; Peng, Ji-Gen; Jia, Jun-Xiong
2014
Variation of bifurcations along a homotopy from Neumann to Dirichlet problems. Zbl 0866.35020
Mei, Z.; Theil, F.
1996
On general fractional abstract Cauchy problem. Zbl 1273.34012
Mei, Zhan-Dong; Peng, Ji-Gen; Zhang, Yang
2013
On invariance of $$p$$-admissibility of control and observation operators to $$q$$-type of perturbations of generator of $$C_{0}$$-semigroup. Zbl 1198.93064
Mei, Zhan-Dong; Peng, Ji-Gen
2010
Equations for turbulent flood waves. Zbl 0870.76023
Mei, Z.; Roberts, A. J.
1995
Convoluted fractional $$C$$-semigroups and fractional abstract Cauchy problems. Zbl 07022218
Mei, Zhan-Dong; Peng, Ji-Gen; Gao, Jing-Huai
2014
Robustness of exact $$p$$-controllability and exact $$p$$-observability to $$q$$-type of perturbations of the generator. Zbl 1300.93040
Mei, Zhan-Dong; Peng, Ji-Gen
2014
Riemann-Liouville abstract fractional Cauchy problem with damping. Zbl 1298.34016
Mei, Zhan-Dong; Peng, Ji-Gen
2014
On a characteristic of cosine functions. Zbl 1303.47061
Mei, Zhan-Dong; Peng, Ji-Gen; Zhang, Yang
2014
Modelling the dynamics of turbulent floods. Zbl 1037.76025
Mei, Z.; Roberts, A. J.; Li, Zhenquan
2002
Construction of higher-order algebraic one-step schemes in stiff BVPs. Zbl 0790.65060
Schmitt, B. A.; Mei, Z.
1993
General fractional differential equations of order $$\alpha \in (1,2)$$ and type $$\beta \in [0,1]$$ in Banach spaces. Zbl 1375.34007
Mei, Zhan-Dong; Peng, Ji-Gen; Gao, Jing-Huai
2017
An operator theoretical approach to Riemann-Liouville fractional Cauchy problem. Zbl 1322.34011
Mei, Zhan-Dong; Peng, Ji-Gen; Zhang, Yang
2015
Existence and uniqueness of solutions for nonlinear general fractional differential equations in Banach spaces. Zbl 1323.34010
Mei, Zhan-Dong; Peng, Ji-Gen; Gao, Jing-Huai
2015
Well-posedness and time-decay for compressible viscoelastic fluids in critical Besov space. Zbl 1311.35219
Jia, Junxiong; Peng, Jigen; Mei, Zhandong
2014
A new characteristic property of Mittag-Leffler functions and fractional cosine functions. Zbl 1297.33015
Mei, Zhan-Dong; Peng, Ji-Gen; Jia, Jun-Xiong
2014
Convoluted fractional $$C$$-semigroups and fractional abstract Cauchy problems. Zbl 07022218
Mei, Zhan-Dong; Peng, Ji-Gen; Gao, Jing-Huai
2014
Robustness of exact $$p$$-controllability and exact $$p$$-observability to $$q$$-type of perturbations of the generator. Zbl 1300.93040
Mei, Zhan-Dong; Peng, Ji-Gen
2014
Riemann-Liouville abstract fractional Cauchy problem with damping. Zbl 1298.34016
Mei, Zhan-Dong; Peng, Ji-Gen
2014
On a characteristic of cosine functions. Zbl 1303.47061
Mei, Zhan-Dong; Peng, Ji-Gen; Zhang, Yang
2014
A characteristic of fractional resolvents. Zbl 1314.34022
Mei, Zhan-Dong; Peng, Ji-Gen; Zhang, Yang
2013
On general fractional abstract Cauchy problem. Zbl 1273.34012
Mei, Zhan-Dong; Peng, Ji-Gen; Zhang, Yang
2013
On robustness of exact controllability and exact observability under cross perturbations of the generator in Banach spaces. Zbl 1203.93026
Mei, Zhan-Dong; Peng, Ji-Gen
2010
On invariance of $$p$$-admissibility of control and observation operators to $$q$$-type of perturbations of generator of $$C_{0}$$-semigroup. Zbl 1198.93064
Mei, Zhan-Dong; Peng, Ji-Gen
2010
Modelling the dynamics of turbulent floods. Zbl 1037.76025
Mei, Z.; Roberts, A. J.; Li, Zhenquan
2002
Variation of bifurcations along a homotopy from Neumann to Dirichlet problems. Zbl 0866.35020
Mei, Z.; Theil, F.
1996
Equations for turbulent flood waves. Zbl 0870.76023
Mei, Z.; Roberts, A. J.
1995
Construction of higher-order algebraic one-step schemes in stiff BVPs. Zbl 0790.65060
Schmitt, B. A.; Mei, Z.
1993
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#### Cited by 72 Authors

 5 Mei, Zhandong 5 Peng, Jigen 4 Abadias, Luciano 3 Chen, Pengyu 3 Chen, Yi 3 Gao, Jinghuai 3 Li, Yongxiang 3 Lizama, Carlos 3 Lv, Zhanmei 3 Zhang, Xuping 2 Alvarez, Edgardo 2 Fan, Zhenbin 2 Hong, Nguyen Thi Thuy 2 Mei, Zhen 2 Miana, Pedro J. 2 Ponce, Rodrigo F. 2 Roberts, Anthony John 2 Tan, Zhong 2 Thuan, Do Duc 2 Zhang, Liang 1 Abdo, Mohammed Salem 1 Ahmad, Bashir 1 Ahmad, Bashir 1 Alghanmi, Madeaha 1 Al-saedi, Ahmed Eid Salem 1 Ashyralyev, Allaberen 1 Cao, Meng 1 Chen, Chuang 1 Chien, Cheng-Sheng 1 Dong, Qixiang 1 Gal, Ciprian Gheorghe Sorin 1 Gambera, Laura R. 1 Gao, Zhensheng 1 Gong, Yanping 1 Guo, Bao-Zhu 1 Hamad, Ayman 1 Han, Bin 1 Jia, Junxiong 1 Kadalbajoo, Mohan K. 1 Kuo, Yu-Ju 1 Li, Gang 1 Li, Haitao 1 Li, Miao 1 Li, Xiaodong 1 Li, Yin 1 Lian, Tingting 1 Liu, Can 1 Liu, Yuji 1 Liu, Yun 1 Mao, Jianzhong 1 Mei, Jie 1 Ntouyas, Sotiris K. 1 Patidar, Kailash C. 1 Piskarëv, S. I. 1 Prokopczyk, Andréa C. 1 Roberts, Andrew J. 1 Selivanova, N. Yu. 1 Shih, Chih-Wen 1 Shu, Linxin 1 Shu, Xiaobao 1 Nguyen Khoa Son 1 Thabet, Sabri T. M. 1 Vasil’ev, Victor V. 1 Wang, Shuling 1 Wang, Yong 1 Wei, Ruiying 1 Wu, Guochun 1 Wu, Wenpei 1 Xu, Gen-Qi 1 Yao, Zhengan 1 Yuan, Baoquan 1 Zhao, Guodong
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#### Cited in 32 Serials

 4 Fractional Calculus & Applied Analysis 3 Semigroup Forum 3 Systems & Control Letters 2 Journal of Mathematical Physics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Advances in Difference Equations 2 Banach Journal of Mathematical Analysis 2 Journal of Pseudo-Differential Operators and Applications 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 International Journal of Control 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 1 Applied Mathematics and Computation 1 Functional Analysis and its Applications 1 SIAM Journal on Control and Optimization 1 Applied Mathematics Letters 1 Journal of Integral Equations and Applications 1 Journal of Nonlinear Science 1 Topological Methods in Nonlinear Analysis 1 Journal of Mathematical Sciences (New York) 1 Abstract and Applied Analysis 1 Communications on Pure and Applied Analysis 1 Analysis and Applications (Singapore) 1 Boundary Value Problems 1 Symmetry 1 Asian Journal of Control 1 Fractional Differential Calculus 1 Journal of Function Spaces 1 Open Mathematics
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#### Cited in 19 Fields

 17 Ordinary differential equations (34-XX) 16 Operator theory (47-XX) 11 Partial differential equations (35-XX) 8 Real functions (26-XX) 8 Fluid mechanics (76-XX) 8 Systems theory; control (93-XX) 4 Integral equations (45-XX) 4 Numerical analysis (65-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Biology and other natural sciences (92-XX)