丁小丽 简历
研究领域方向:微分方程的基本理论、数值计算方法及其应用
教育经历:
2009/09 - 2013/06,西安交通大学获得计算数学博士学位
2004/09 - 2007/07,西安建筑科技大学获得应用数学硕士学位
2000/09 - 2004/07,忻州师范学院获得应用数学学士学位
工作经历:
2015/11 - 至今,西安工程大学,数学系,副教授
2013/07 - 2015.10,西安工程大学,数学系,讲师
2007/07 - 2009/07, 内蒙古科技大学, 理学院, 助教
发表论文
1、X.L. Ding, Juan J. Nieto, Analytical solutions for coupling fractional partial differential equations with Dirichlet boundary conditions, Communications in Nonlinear Sciences and Numerical Simulation, 2017,已接收。
2、X.L. Ding, Juan J. Nieto, Numerical analysis of fractional neutral functional di ferential equations based on generalized volterra-integral operators, Journal of Computational and Nonlinear Dynamics, 2017, 12:031018.
3、X.L. Ding, Bashir Ahmad, Analytical solutions to fractional evolution equations with almost sectorial operators, Advances in Difference Equations (2016) 2016:203 (SCI检索)
4、X.L. Ding, Y.L. Jiang, A windowing waveform relaxation method for time-fractional differential equations, Communications in Nonlinear Sciences and Numerical Simulation, 2016,30:139-150. (SCI检索)
5、Xiao-Li Ding,Juan J. Nieto,Analytical solutions for the multi-term time-space fractional reaction-diffusion equations on an infinite domain,Fractional Calculus and Applied Applications, 2015, 3, 697-716. (SCI检索)
6、Xiao-Li Ding,Juan J. Nieto,Controllability and optimality of linear time-invariant neutral control systems with different fractional orders,Acta Mathematica Scientia,2015, 5:1003-1013. (SCI检索)
7、Ding, Xiao-Li,Jiang, Yao-Lin,Waveform relaxation method for fractional differential-algebraic equations,Fractional Calculus and Applied Analysis,2014,17(3):585-604. (SCI检索)
8、Ding, Xiao-Li,Jiang, Yao-Lin,Waveform relaxation methods for fractional functional differential equations,Fractional Calculus and Applied Analysis,2013,16(3):573-594. (SCI检索)
9、Xiao-Li Ding,Yao-Lin Jiang,Analytical solutions for the multi-term time–space fractional advection–diffusion equations with mixed boundary conditions,Nonlinear Analysis: Real World Applications,2013,14(2):1026-1033. (SCI检索)
10、Yao-Lin Jiang,Xiao-Li Ding,Waveform relaxation methods for fractional differential equations with the Caputo derivatives,Journal of Computational and Applied Mathematics,2013,238:51-67. (SCI检索)
11、Xiao-Li Ding,Yao-Lin Jiang,Semilinear fractional differential equations based on a new integral operator approach,Communications in Nonlinear Science & Numerical Simulation,2012,17(12):5143-5150. (SCI检索)
12、Yao-Lin Jiang,Xiao-Li Ding,Nonnegative solutions of fractional functional differential equations,Computers & Mathematics with Applications,2012,63(5):896-904. (SCI检索)
13、Kong, Qiong-Xiang,Ding, Xiao-Li,A New Fractional Integral Inequality with Singularity and Its Application,Abstract and Applied Analysis,2012,2012(2012). (SCI检索)
14、X.L. Ding, Y.L. Jiang, Solvability and positivity of fractional descriptor systems, 工程数学学报, 4(2015) 599-607.
15、丁小丽,许微微,蒋耀林,含变系数的线性分数阶微分方程的解析解(英文),工程数学学报,2013(4):475-483.
主持或参加科研项目及人才计划项目情况:
1、陕西省教育厅科学研究计划资助项目、 14JK1300、分数阶微分-代数方程的计算理论及方法研究、2014/07-2015/08、2万元、已结题。
2、陕西省科技计划资助项目、2014JQ1041、分数阶偏微分方程的计算理论及方法、2014/07-2016/07、2万元、结题。
3、国家自然科学基金青年项目、11501436、大规模分数阶微分系统的高性能并行算法研究、2016/01-2018/12、18万元、在研、主持。
科研奖励
2015年获得西安工程大学青年学术骨干支持计划;
2016年获陕西省第十三届自然科学优秀论文二等奖;
2016年获陕西省数学会青年优秀论文二等奖;
获2016年获香港桑麻奖教金。
联系方式
Email:dingding0605@126.com