Curriculum Vitae for Zhenbin Fan

School of Mathematical Sciences, Yangzhou University

180#, SiWangTing Road, Yangzhou, Jiangsu Province, P. R. China, 225002
Email: zbfan@yzu.edu.cn

Education

Ph.D. Mathematics, Yangzhou University  (China),  June 2007,  Advisor: Prof. Gang Li

M.S. Mathematics, Yangzhou University,  June 2004,  Advisor: Prof. Gang Li

B.S. Mathematics, Yangzhou University,  June 2002

Post-doctorate position, Shanghai Jiaotong University, 2009-2011, Advisor: Prof. Jin Liang

Employment

Lecturer,  Changshu Institute of Technology,  2008-2009

Associate Professor, Changshu Institute of Technology, 2010-2015

Visiting Scholar, Penn State University, 2012.8-2013.7

Associate Professor, Yangzhou University, 2015-2016

Professor, Yangzhou University, 2016.9-

Teaching

For under graduate students: Mathematical Analysis, Probability and Mathematical Statistics

For graduate students: Nonlinear Functional Analysis, Nonlinear Differential Inclusions, Theory of Semigroups

Research Interests

Theory of Semigroups and Resolvent Operator Families

Differential Inclusions

Nonlinear Evolution Equations

Control Theory

Almost Periodic and Almost Automorphic Theory

Projects

1. Supported by NNSF of China: Theory of resolvent operator families in Banach spaces and nonlinear differential inclusions and applications (11571300，2016-2019)

2. Supported by NNSF of China: Existence, controllability and pseudo almost automorphic properties of operator differential inclusions (11001034，2011-2013)

Publications

[1] Shouguo Zhu, Zhenbin Fan*, Gang Li, Approximate controllability of Riemann-Liouville fractional evolution equations with integral contractor assumption, J. Appl. Anal. Comput. 8 (2018) 532--548

[2] Shouguo Zhu, Zhenbin Fan*, Gang Li, Optimal controls for Riemann-Liouville fractional evolution systems without Lipschitz Assumption, J. Optim. Theory Appl. 174 (2017) 47-64

[3] Tingting Lian, Zhenbin Fan*, Gang Li, Approximate Controllability of semilinear fractional differential systems of order 1Filomat, 31:18 (2017) 5769-5781

[4] Tingting Lian, Zhenbin Fan*, Gang Li, Lagrange optimal controls and time optimal controls for composite fractional relaxation systems, Adv. Diff. Equs. 233 (2017) 1-14

[5] Badawi H. E. Ibrahim, Zhenbin Fan, Gang Li*, Approximate controllability for functional equations with Riemann-Liouville derivative by iterative and approximate method, J. Function spaces, (2017) 1-7

[6] Badawi H. E. Ibrahim, Qixiang Dong*, Zhenbin Fan, Existence for boundary value problems of two-term Caputo fractional differential equations, J. Nonlinear Sci. Appl. 10 (2017) 511-520

[7] Zhenbin Fan*, Qixiang Dong, Gang Li, Almost exponential stability and exponential stability of resolvent operator families, Semigroup Forum, 93 (2016) 491–500

[8] Zhenbin Fan, Qixiang Dong, Gang Li*, Approximate controllability for semilinear composite fractional relaxation equations, Fract. Calc. Appl. Anal. 19(1) (2016) 267-284

[9] Zhenbin Fan*, Qixiang Dong, Gang Li, Compositions of pseudo almost automorphic functions via measure theory and applications, Journal of Integral Equations and Applications, 28(2) (2016) 205-219

[10] Zhenbin Fan*, Characterization of compactness for resolvents and its applications, Appl. Math. Comput. 2014,232,60-67

[11] Zhenbin Fan*, A short note on the solvability of impulsive fractional differential equations with Caputo derivatives, Applied Mathematics Letters, 38 (2014) 14-19

[12] Zhenbin Fan, Gisele Mophou*, Existence of optimal controls for a semilinear composite fractional relaxation equation, Reports on Math. Phys. 73(3) (2014) 311-323

[13] Zhenbin Fan, Gisele Mophou*, Remarks on the controllability of fractional differential equations, Optimization, 63(8) (2014) 1205-1217

[14] Zhenbin Fan*, Existence and regularity of solutions for evolution equations with Riemann-Liouville fractional derivatives, Indagationes Mathematicae, 25 (2014) 516-524

[15] Zhenbin Fan*, Approximate controllability of fractional differential equations via resolvent operators, Advances in Diff. Eqs. 54 (2014) 1-11

[16] Zhenbin Fan, Gisele Mophou*, Nonlocal problems for fractional differential equations via resolvent operators, Inter. Journal of Diff. Equs. (2013) Article ID 490673, 1-9

[17] Zhenbin Fan*, Regularity of solutions for evolution equations with Caputo fractional derivatives, Nonlinear Studies, 20(4) (2013) 491-498

[18] Zhenbin Fan, Gisele Mophou*, Existence and optimal controls for fractional evolution equations, Nonlinear Studies, 20(2) (2013) 161-170

[19] Jinrong Wang*, Zhenbin Fan, Yong Zhou, Nonlocal Controllability of Semilinear Dynamic Systems with Fractional Derivative in Banach Spaces, J. Optim. Theory Appl. 154(1) (2012)  292-302

[20] Zhenbin Fan*, Jin Liang, Ti-Jun Xiao, Composition of Stepanov-like pseudo almost automorphic functions and  applications to nonautonomous evolution equations, Nonlinear Anal. RWA   13 (2012) 131-140

[21] Zhenbin Fan, Jin Liang*, Ti-Jun Xiao, On Stepanov-like (pseudo) almost automorphic functions, Nonlinear Anal. 74（8）（2011）2853-2861

[22] Lizhen Chen, Zhenbin Fan*, On mild solutions to fractional differential equations with nonlocal conditions,  Electronic Journal of Qualitative Theory of Differential Equations, 53 (2011) 1-13

[23] Jin Liang*, Zhenbin Fan,  Nonlocal impulsive Cauchy problems for evolution equations, Advances in Diff. Eqs. (2011) Article ID 784161, 1-17

[24] Zhenbin Fan*, Gang Li,  Existence results for semilinear differential equations  with nonlocal and impulsive conditions, J. Functional Analysis  258 (2010) 1709-1727

[25] Zhenbin Fan*, Impulsive problems for semilinear differential equations with nonlocal conditions, Nonlinear Anal. TMA 72 (2010) 1104-1109

[26] Zhenbin Fan*, Existence of nondensely defined evolution equations with nonlocal conditions, Nonlinear Anal. TMA 70 (2009) 3829-3836

[27] Cuihua Xie, Weijun Zhong, Zhenbin Fan*, Existence results for nonlinear nonlocal problems in Banach spaces, Appl. Math. Lett. 22 (2009) 998-1002                                              

[28] Zhenbin Fan*, Li Zhang, Integral solutions for nondensely defined evolution equations with nonlocal conditions, Inter. J. Evolution Equs. 4(3) (2009) 87-96

[29] Zhenbin Fan*, Existence and continuous dependence results for nonlinear differential inclusions with infinite delay,  Nonlinear Anal. TMA  69 (2008) 2379-2392

[30] Zhenbin Fan*, Gang Li, Asymptotic behavior of the solutions of non-autonomous systems in Banach spaces,  Nonlinear Anal. TMA  68 (2008) 3733-3741

[31] Qixiang Dong*, Zhenbin Fan, Gang Li, Existence of solutions to nonlocal neutral functional differential and integrodifferential equations, Inter. J. Nonlinear Sci. 5(2) (2008) 140—151

[32] Zhenbin Fan*, Gang Li,  Existence results for semilinear differential inclusions, Bulletin of Australian Math. Society  76 (2007) 227-241

[33] Zhenbin Fan*, Qixiang Dong, Gang Li, Semilinear differential  equations with nonlocal conditions in Banach spaces, Inter. J. Nonlinear Sci. 2(3) (2006) 131-139