基本情况
张丽红，女，1981年生，山西文水人，九三学社社员,副教授，硕士生导师，毕业于兰州大学，主要从事非线性方程定性理论研究，已在该领域与多名国际****如美国数学家Ravi P. Agarwal教授、西班牙Juan J. Nieto教授，土耳其Dumitru Baleanu教授等一起取得了一些列成果。担任多个SCI期刊审稿人。

研究方向：非线性分析及应用；分数微分方程及应用。
一、论文情况
自09年至今,在《Nonlinear Anal.》、《Appl. Math. Lett.》、《J. Comput. Appl. Math.》等重要专业期刊上发表SCI论文40多篇，ESI高被引论文6篇。
主要代表性论文有
[1]Lihong Zhang,Bashir Ahmad, Guotao Wang，Xueyan Ren, Radial symmetry of solution for fractional p-Laplacian system,Nonlinear Analysis,196(2020) 111801.
[2]Lihong Zhang, Wenwen Hou, Standing waves of nonlinear fractional p-Laplacian Schr?dinger equation involving logarithmic nonlinearity,Applied Mathematics Letters102 (2020) 106149
[3]Lihong Zhang, Nan Qin, Bashir Ahmad, Explicit iterative solution of a Caputo-Hadamard-type fractional turbulent flow model.Math Meth Appl Sci.2020;1-11
[4]Guotao Wang, Jianfang Qin,Lihong Zhang,Dumitru Baleanu, Explicit iteration to a nonlinear fractional Langevin equation with non-separated integro-differential strip-multi-point boundary conditions,Chaos, Solitons and Fractals,131 (2020) 109476.
[5]Guotao Wang, Zhanbing Bai,Lihong Zhang,Successive iterations for unique positive solution of a nonlinear fractional q-integral boundary value problem,Journal of Applied Analysis and Computation,2019, 9(4), 1204—1215.
[6]Guotao Wang, Ke Pei, Ravi P. Agarwal,Lihong Zhang,Nonlocal Hadamard fractional boundary value problem with Hadamard integral and discrete boundary conditions on a half-line,Journal of Computational and Applied Mathematics，343 (2018) 230–239.
[7]Lihong Zhang, Juan J. Nieto, Guotao Wang,Extremal solutions for a nonlinear impulsive differential equations with multi-orders fractional derivatives,Journal of Applied Analysis and Computation, 7(2017), 814-823.
[8]Lihong Zhang,Guotao Wang,Bashir Ahmad, Analysis and application of diffusion equations involving a new fractional derivative without singular kernel,Electronic Journal of Differential Equations,2017 (2017), 1-6.
[9]Lihong Zhang,Bashir Ahmad, Guotao Wang,Existence and approximation of positive solutions for nonlinear fractional integro-differential boundary value problems on an unbounded domain,Appl. Comput. Math.,15 (2016), 149-158
[10]Xiaohong Liu,Lihong Zhang,Praveen Agarwal. Guotao Wang, On some new integral inequalities of Gronwall-Bellman-Bihari type with delay for discontinuous functions and their applications,Indagationes Mathematicae 27 (2016) 1–10
[11]Lihong Zhang,Bashir Ahmad, Guotao Wang, Successive iterations for positive extremal solutions of nonlinear fractional differential equations on a half-line,Bull. Aust. Math. Soc.91 (2015), 116–128
[12]Lihong Zhang, Bashir Ahmad, Guotao Wang,Explicit iterations and extremal solutions for fractional differential equations with nonlinear integral boundary conditions,Applied Mathematics and Computation268 (2015) 388-392.
[13]Lihong Zhang,Bashir Ahmad, Guotao Wang, The existence of an extremal solution to a nonlinear system with the right-handed Riemann–Liouville fractional derivative,Applied Mathematics Letters31 (2014) 1–6
[14]Guotao Wang,Alberto Cabada，Lihong Zhang,Integral boundary value problem for nonlinear differential equations of fractional order on an unbounded domain,Journal of Integral Equations and Applications,volume 26, number 1, spring 2014.
[15]Guotao Wang, Bashir Ahmad,Lihong Zhang, Juan J. Nieto, Comments on the concept of existence of solution for impulsive fractional differential equations,Communications in Nonlinear Science and Numerical Simulation19 (2014) 401-403.
[16]Guotao Wang, Sanyang Liu,Lihong Zhang, Neutral fractional integro-differential equation with nonlinear term depending on lower order derivative,Journal of Computational and Applied Mathematics260 (2014) 167–172.
[17]Sanyang Liu, Guotao Wang,Lihong Zhang,Existence results for a coupled system of nonlinear neutral fractional differential equations,Applied Mathematics Letters26 (2013) 1120–1124.
[18]Lihong Zhang, Bashir Ahmad, Guotao Wang,Ravi P. Agarwal, Nonlinear fractional integro-differential equations on unbounded domains in a Banach space,Journal of Computational and Applied Mathematics249 (2013) 51-56.
[19]Guotao Wang,Lihong Zhang, Sotiris K. Ntouyas, Existence of multiple positive solutions of a nonlinear arbitrary order boundary value problem with advanced arguments,Electronic Journal of Qualitative Theory of Differential Equations15 (2012) 1–13.
[20]Guotao Wang, Dumitru Baleanu,Lihong Zhang, Monotone iterative method for a class of nonlinear fractional differential equations,Fract. Calc. Appl. Anal.,15 (2012) 244–252.
[21]Lihong Zhang,Boundary value problem for first order impulsive functional integro-differential equations,Journal of Computational and Applied Mathematics,235 (2011) 2442-2450.
[22]Guotao Wang,Lihong Zhang, Guangxing Song,Systems of first order impulsive functional differential equations with deviating arguments and nonlinear boundary conditions,Nonlinear Analysis, 74 (2011) 974–982.
[23]Guotao Wang,Bashir Ahmad,Lihong Zhang, Impulsive anti-periodic boundary value problem for nonlinear differential equations of fractional order,Nonlinear Analysis, 74 (2011) 792–804.
[24]Guotao Wang,Bashir Ahmad,Lihong Zhang,Some existence results for impulsive nonlinear fractional differential equations with mixed boundary conditions,Computers & Mathematics with Applications, 62 (2011) , 1389-1397.
[25]Lihong Zhang,Existence of solutions for nonlinear fractional differential equations with impulses and anti-periodic boundary conditions,Electronic Journal of Qualitative Theory of Differential Equations7 (2011) 1–11.
[26]Guotao Wang,Lihong Zhang, Guangxing Song, Extremal solutions for the first order impulsive functional differential equations with upper and lower solutions in reversed order,J. Comput. Appl. Math.,235 (2010) 325-333.
二、项目情况
1)山西省自然科学基金项目，No. 201701D**，主持；
2)山西省高等学校科技创新项目，No.，主持；
3)山西省高等学校科技创新项目，No.**，主持；
4)国家自然科学基金项目，No. **，参与(2/7)；
5)山西省自然科学基金项目，No.-3，参与(2/4)；
6)山西省高等学校科技创新项目，No.**，参与(2/5)；
7)山西省高等学校科技创新项目，No. ，参与(3/5)。
三、获奖情况
1)王国涛，张丽红，非线性分数阶微分系统定性理论的若干研究，山西省自然科学奖，三等奖，2017年
2)王国涛，张丽红，非线性分数阶微分系统定性理论的若干研究，山西省高等学校科学研究优秀成果奖，二等奖，2016年
3)张丽红, Bashir Ahmad,王国涛,Successive iterations for positive extremal solutions of nonlinear fractional differential equations on a half-line,山西省第十九届优秀学术论文奖，一等奖，2019年
4)张丽红，B. Ahmad，王国涛，R.P. Agarwal, Nonlinear fractional integro-differential equations on unbounded domains in a Banach space,山西省第十八届优秀学术论文奖，二等奖，2018年
5)张丽红, Boundary value problem for first order impulsive functional integro-differential equations,山西省第十七届优秀学术论文奖，三等奖，2016年
6)张丽红,王国涛,宋光兴, On mixed boundary value problem of impulsive semilinear evolution equations of fractional order,山西省第十七届优秀学术论文奖，三等奖，2016年
7)王国涛,张丽红,宋光兴. Extremal solutions for the first order impulsive functional differential equations with upper and lower solutions in reversed order，山西省第十六届优秀学术论文奖，二等奖，2012年
四、教学与研究生培养
1）教学情况：主要从事《数学物理方程》、《非线性泛函分析》、《分数微积分及其应用》等专业课的教学工作。
2）数学竞赛：指导大学生数学建模竞赛，获得国家二等奖一项，省级奖若干。
3）研究生教育：当前，指导硕士研究生4名（一、二年级各2名），所指导研究生正主持山西省研究生创新项目和山西师范大学研究生创新项目各1项，发表SCI一区论文1篇，三区论文1篇，获得2019年湖南省研究生创新论坛二等奖一项。

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