段俊生 理学院 教授

研究方向：非线性分析；积分-微分方程；分数阶微积分；模糊数学；应用数学软件

学习经历：

1986,6: 内蒙古大学数学系，学士。

1996,6: 内蒙古大学数学系，硕士。

2002,6: 山东大学数学学院,博士。

讲授课程：数学分析、微分方程、解析几何、高等代数、研究生应用数学、高等数学、复变函数、积分变换 等课程。

发表论文：

[*]Jun-Sheng Duan, An efficient algorithm for the multivariable Adomian polynomials, Applied Mathematics and Computation, 2010, Vol. 217, No. 6, 2456-2467. doi: 10.1016/j.amc.2010.07.046 （国外）SCI, EI检索. 2009 Impact Factor:1.124.

[*]Jun-Sheng Duan, Recurrence triangle for Adomian polynomials, Applied Mathematics and Computation, 2010, Vol. 216, No. 4, 1235-1241. doi: 10.1016/j.amc.2010.02.015 （国外） SCI, EI检索. 2009 Impact Factor:1.124.

[*]Jun-Sheng Duan, Ai-Ping Guo, Reduced polynomials and their generation in Adomian decomposition methods, CMES-Computer Modeling in Engineering & Sciences, 2010, Vol. 60, No. 2, 139-150. (CMES-Comput. Model. Eng. Sci.) （国外）SCI, EI检索. 2009 Impact Factor: 4.785.

[*]DUAN Jun-sheng, GUO Ai-ping, YUN Wen-zai, Similarity method to solve fractional diffusion model in fractal media，Journal of Biomathematics (生物数学学报), 2010, 25 (2): 218-224.

[*]段俊生, 等, 坡代数上半模的基, 模糊系统与数学, 2010, Vol. 24, No. 3, 28-32. (DUAN Jun-sheng, HUI Xing-jie, ZHAO Fen-xia, Bases of a semimodule over an incline，Fuzzy Systems and Mathematics.) .

[*]Jun-sheng Duan, Ai-ping Guo, Wen-zai Yun, Matrix power methods for the generalized path optimization, Proceedings of the Ninth International Conference on Matrix Theory and its Applications, Shanghai, China, July 18-22, 2010, Vol. 2, pp. 148-151. ISTP检索

[*] 段俊生, 特木尔朝鲁, 导出任意阶导数和积分的分形电路模型, 数学的实践与认识, 2009, Vol. 39, No. 18, 54-59. (DUAN Jun-sheng, TEMUER Chao-lu, Fractal circuit model deriving arbitrary-order derivative and integral, Mathematics in Practice and Theory.)

[*]Duan Jun-sheng，Temuer Chao-lu, Sun Jie, Solution for system of linear fractional differential equations with constant coefficients. Journal of Mathematics, 2009, Vol. 29, No. 5, 599-603.

[*]Duan Junsheng, Liu Zhenhang, Zhang Fengkuan, Temuer Chaolu, Analytic solution and numerical solution to endolymph equation using fractional derivative, Annals of Differential Equations, 2008, Vol. 24, No. 1: 9-12.

[*]Duan Junsheng, An Jianye, Xu Mingyu, Solution of system of fractional differential equations by Adomian decomposition method, Applied Mathematics: A Journal of Chinese Universities (Series B), 2007, 22 (1): 7-12. doi: 10.1007/s11766-007-0002-2 SCI 收录.

[*]Duan Junsheng, Temuer Chaolu, Scale-invariant solution for fractional anomalous diffusion equation, Annals of Differential Equations. 2006, Vol. 22, No. 1: 21-26.

[*]段俊生, 安建业，徐立, 分数阶偏微分方程, 第五届天津青年科技论坛集萃（天津市科学技术协会编），11-14，天津科学技术出版社, 2006年5月, ISBN 7-5308-4170-X.

[*] Duan Jun-sheng, Invertible conditions for matrices over an incline, Advances in Mathematics, 2006, Vol. 35, No. 3, 285-288. (坡代数上矩阵可逆的条件, 数学进展.)

[*]Duan Jun-sheng, Rank of matrices over semirings and invertible conditions for matrices over inclines. Journal of Mathematics, 2006, Vol. 26, No. 5, 478-484. (半环上矩阵的秩和坡上矩阵可逆的条件, 数学杂志.)

[*]段俊生，安建业，徐立，MATLAB曲面绘制中的挖补方法，大学数学，2006，Vol. 22, No. 4, 36-39.

[*]Jun-Sheng Duan, Time- and space-fractional partial differential equations, Journal of Mathematical Physics, 2005, Vol. 46, No. 1: 13504-13511. SCI检索: 896FY. 1.192 (国外).

[*]段俊生,葛素侨, 用MATLAB模拟分形, 天津商学院学报, 2005, Vol. 25, No. 6: 60-64.

[*]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. SCI检索: 831PR; EI检索: 04258226157. 1.039 (国外).

[*]段俊生,徐明瑜,有限区间上的分数阶扩散-波方程定解问题与Laplace变换, 高校应用数学学报A辑, 2004, Vol. 19, No. 2: 165-171. (DUAN Jun-sheng, XU Ming-yu, The problem for fractional diffusion-wave equations on finite interval and Laplace transform, Applied Mathematics: A Journal of Chinese Universities (Series A) ).

[*]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. SCI收录: 766RZ; EI收录: 04148103034. 0.181.

[*]段俊生,徐明瑜, 瞬时点源分数阶超常扩散的浓度分布, 应用数学和力学, 2003, Vol. 24, No. 11: 1151-1156.

[*]段俊生,徐明瑜, 分数阶扩散方程半无界混合问题的解, 高校应用数学学报A辑, 2003, Vol. 18, No. 3: 259-266. (DUAN Junsheng, XU Mingyu, The solution of semiboundless mixed problem of fractional diffusion equation, Applied Mathematics: A Journal of Chinese Universities (Series A) ).

[*]段俊生,徐明瑜, 三维空间瞬时点源超常扩散模型的解, 山东大学学报（理学版），2002, Vol. 37, No. 1: 1-4.

[*]段俊生, L-Fuzzy正则矩阵与可逆矩阵的秩, 山东大学学报（自然科学版），2001, Vol. 36, No. 3: 251-255.

[*]段俊生, 陈占华, 有零分配格上矩阵半环的理想格, 内蒙古工业大学学报（自然科学版）, 2001, Vol. 20, No. 4: 288-289.

[*]段俊生, 仿射变换为压缩变换的条件, 内蒙古工业大学学报（自然科学版）, 2000, Vol. 19, No. 3: 172-175.

[*]郑丽霞, 段俊生, 分配格上对角占优阵的幂收敛性与可实现问题, 内蒙古工业大学学报（自然科学版）, 2000, Vol. 19, No. 2: 98-100.

[*]杨继平, 段俊生, 有错检验情况下半经济抽样方案的设计, 内蒙古工业大学学报（自然科学版）, 1996, Vol. 15, No. 2, 4-11.

[*]段俊生，杨继平, 分配格上秩-1阵的特征及Schein秩的一个不变性, 内蒙古工业大学学报（自然科学版）, 1996, Vol. 15, No. 2, 1-3.

[*]杨继平, 段俊生, 有错检验情况下标准型抽样方案的设计, 内蒙古工业大学学报（自然科学版）, 1996, Vol. 15, No. 1, 66-71.

[*]段俊生, L-Fuzzy矩阵的Schein秩, 内蒙古数学学会第五届年会论文集及史志, 1995年7月.

[*]段俊生, 关于分配格上矩阵的秩, 内蒙古大学学报（自然科学版）, 1995, Vol. 26, No. 6: 664-669.

获 奖：

1997年获内蒙古大学科技进步一等奖。 2004年指导的学生在全国大学生数学建模竞赛中获天津赛区二等奖。2005年度优秀教师。2005年获天津商业大学重要科研贡献奖。