段俊生，上海套用技術大學教授，碩士生導師。研究方向為非線性分析，分數階微積分，非線性微分方程，分數階微分方程，粘彈性理論，動力系統，模糊代數等。
基本介紹
- 中文名：段俊生
- 外文名：Duan, Jun-Sheng
- 職業：教師
- 畢業院校：山東大學
教 育
博士，套用數學，山東大學，濟南，中國（1999,9-2002,6）
碩士，套用數學，內蒙古大學，呼和浩特，中國（1993,9-1996,6）
學士，數學，內蒙古大學，呼和浩特，中國（1982,9-1986,6）
工作經歷
2016.10 – 至今：上海套用技術大學理學院
2015.10 – 2016.09：加州大學默塞德分校高級訪問學者
2009.05 – 2015.09：上海套用技術大學理學院
2002.08 – 2009.04：天津商業大學理學院
1986.07 - 1999.08：內蒙古工業大學理學院
教學
數學分析，微分方程，高等代數，複變函數，空間解析幾何，高等數學，線性代數，數學文化等。
研究興趣
非線性分析，分數階微積分，非線性微分方程，分數階微分方程，粘彈性力學建模與分析，動力系統，模糊代數，等。
研究項目
主持完成省部級科研項目4項。
主持完成國家自然科學基金項目1項。
論文
發表科研論文120餘篇，其中SCI檢索60餘篇。論文代表作:
[]Jun-Sheng Duan,Dumitru Baleanu, Steady periodic response for a vibration system with distributed order derivatives to periodic excitation, Journal of Vibration and Control, 2018, Vol. 24, issue 14, 3124-3131.
[]Junsheng Duan, A generalization of the Mittag–Leffler function and solution of system of fractional differential equations, Advances in Difference Equations, (2018) 2018:239 (12 pages).
[]Jun-Sheng Duan, Xiang Qiu, Stokes’ second problem of viscoelastic fluids with constitutive equation of distributed-order derivative, Applied Mathematics and Computation 331 (2018) 130-139.
[]Jun-Sheng Duan, Lei Lu, Lian Chen, Yu-Lian An, Fractional model and solution for the Black-Scholes equation, Math Meth Appl Sci. 2018, Volume 41,Issue 2, Pages 697-704.
[]Jun-Sheng Duan, YangQuan Chen, Mechanical response and simulation for constitutive equations with distributed order derivatives, Int. J. Model. Simul. Sci. Comput. 2017, Volume 8, Issue 4, 1750040 (16 pages).
[]Jun-Sheng Duan, Randolph Rach, Abdul-Majid Wazwaz, Higher order numeric solutions of the Lane-Emden-type equations derived from the multi-stage modified Adomian decomposition method, International Journal of Computer Mathematics, 2017, Vol. 94, Issue 1, 197-215.
[]Junsheng Duan, Zongxue Li, Jinyuan Liu, Pull-in instability analyses for NEMS actuators with quartic shape approximation, Applied Mathematics and Mechanics, Volume 37,Issue 3,pp 303-314, 2016.
[]Jun-Sheng Duan, A modified fractional derivative and its application to fractional vibration equation, Appl. Math. Inf. Sci. Vol.10, No. 5, 1863-1869 (2016).
[]Jun-Sheng Duan, Randolph Rach, Abdul-Majid Wazwaz, Oxygen and carbon substrate concentrations in microbial floc particles by the Adomian decomposition method, MATCH-Commun. Math. Comput. Chem. Volume 73 (2015) number 3，pp. 785-796.
[]Jun-Sheng Duan, Randolph Rach, Abdul-Majid Wazwaz, Steady-state concentrations of carbon dioxide absorbed into phenyl glycidyl ether solutions by the Adomian decomposition method, Journal of Mathematical Chemistry, Volume 53, Issue 4 (2015), 1054-1067.
[]Jun-Sheng Duan, Xiang Qiu, The periodic solution of Stokes' second problem for viscoelastic fluids as characterized by a fractional constitutive equation, Journal of Non-Newtonian Fluid Mechanics, 205 (2014) 11-15.
[]Jun-Sheng Duan, Zhong Wang, Shou-Zhong Fu, The zeros of the solutions of the fractional oscillation equation, Fract. Calc. Appl. Anal. Vol. 17, No 1 (2014), pp. 10-22.
[]Jun-Sheng Duan, Shou-Zhong Fu, Zhong Wang, Fractional diffusion-wave equations on finite interval by Laplace transform, Integral Transforms and Special Functions, 2014, Vol.25, No. 3, 220-229.
[]Jun-Sheng Duan, Randolph Rach, A pull-in parameter analysis for the cantilever NEMS actuator model including surface energy, fringing field and Casimir effects, International Journal of Solids and Structures, 50 (2013) 3511-3518.
[]Jun-Sheng Duan, Randolph Rach, Abdul-Majid Wazwaz, Temuer Chaolu, Zhong Wang, A new modified Adomian decomposition method and its multistage form for solving nonlinear boundary value problems with Robin boundary conditions, Applied Mathematical Modelling 37 (2013), pp. 8687-8708.
[]Jun-Sheng Duan, Temuer Chaolu, Randolph Rach, Lei Lu, The Adomian decomposition method with convergence acceleration techniques for nonlinear fractional differential equations, Computers and Mathematics with Applications, 2013,Volume 66, Issue 5,Pages 728-736.
[]Jun-Sheng Duan, Zhong Wang, Shou-Zhong Fu, Temuer Chaolu, Parametrized temperature distribution and efficiency of convective straight fins with temperature-dependent thermal conductivity by a new modified decomposition method, International Journal of Heat and Mass Transfer, Vol. 59 (2013) 137-143.
[]Jun-Sheng Duan, Randolph Rach, Analytic approximation of the blow-up time for nonlinear differential equations by the ADM-Pade technique, Math. Meth. Appl. Sci. 36 (13) (2013) 1790-1804.
[]Jun-Sheng Duan, Zhong Wang, Yu-Lu Liu, Xiang Qiu, Eigenvalue problems for fractional ordinary differential equations, Chaos, Solitons & Fractals, Vol 46 (2013) 46-53.
[]Jun-Sheng Duan, Randolph Rach, Abdul-Majid Wazwaz, Solution of the model of beam-type micro- and nano-scale electrostatic actuators by a new modified Adomian decomposition method for nonlinear boundary value problems, International Journal of Non-Linear Mechanics, Vol. 49 (2013) 159-169.
[]Jun-Sheng Duan, Temuer Chaolu, Randolph Rach, Solutions of the initial value problem for nonlinear fractional ordinary differential equations by the Rach-Adomian-Meyers modified decomposition method, Applied Mathematics and Computation, Vol. 218, Issue 17 (2012) 8370-8392.
[]Jun-Sheng Duan, Randolph Rach, Higher-order numeric Wazwaz-El-Sayed modified Adomian decomposition algorithms, Computers & Mathematics with Applications, Vol. 63, Issue 11 (2012) Pages 1557-1568.
[]Jun-Sheng Duan, Randolph Rach, A new modification of the Adomian decomposition method for solving boundary value problems for higher order nonlinear differential equations, Applied Mathematics and Computation, Vol. 218, Issue 8 (2011) 4090-4118.
[]Jun-Sheng Duan, Randolph Rach, New higher-order numerical one-step methods based on the Adomian and the modified decomposition methods, Applied Mathematics and Computation, Vol. 218, Issue 6 (2011) 2810-2828.
[]Jun-Sheng Duan, New ideas for decomposing nonlinearities in differential equations, Applied Mathematics and Computation, Vol. 218, Issue 5 (2011) 1774-1784.
[]Jun-Sheng Duan, New recurrence algorithms for the nonclassic Adomian polynomials, Computers & Mathematics with Applications, Vol. 62, Issue 8 (2011) 2961-2977.
[]Jun-Sheng Duan, Convenient analytic recurrence algorithms for the Adomian polynomials, Applied Mathematicsand Computation, Vol. 217, Issue 13 (2011) 6337-6348.
[]Jun-Sheng Duan, An efficient algorithm for the multivariable Adomian polynomials, Applied Mathematics and Computation, Vol. 217, Issue 6 (2010) 2456-2467.
[]Jun-Sheng Duan, Recurrence triangle for Adomian polynomials, Applied Mathematics and Computation, Vol. 216, Issue 4 (2010) 1235-1241.
[]Jun-Sheng Duan, Time- and space-fractional partial differential equations, Journal of Mathematical Physics, 2005, Vol. 46, No. 1: 13504-13511.
[]Jun-Sheng Duan, The transitive closure, convergence of powers and adjoint of generalized fuzzy matrices, Fuzzy Sets and Systems, 2004, Vol. 145, No. 2: 301-311.
[]DUAN Jun-sheng, XU Ming-yu, Concentration distribution of fractional anomalous diffusion caused by an instantaneous point source, Applied Mathematics and Mechanics, 2003, Vol. 24, No. 11: 1302-1308.
