中国矿业大学（徐州）深部重点实验室研究生导师：杨小军

个人简介

基本信息

姓名：杨小军

出生年月：1981年9月

学位：博士

职称：研究员

研究领域：应用数学与力学

E-mail：dyangxiaojun@163.com

个人简介

杨小军，男，1981年9月生，甘肃甘谷人，工学博士。现任中国矿业大学深部岩土力学与地下工程国家重点实验室研究员，中国矿业大学越崎学者。长期开展分形理论研究，在局部分数阶微积分学、广义分数阶微积分学、变阶次微积分学和广义导数、局部分数阶Fourier和Laplace变换、分形小波理论、分形集合理论、分形热传导理论、广义分数阶粘弹性力学、分形弹性力学（变分原理）、分形断裂力学（J积分理论）、Fourier型和Laplace型积分变换、局部分数阶线性和非线性微分方程计算方法及分形孤波理论等方面作出了原创性工作。在国内外学术期刊发表论文160余篇，其中SCI收录120余篇；ESI高被引论文24篇，热点论文3篇，Scopus H指数为28，Web of Science H指数为24，他引次数1400余次；在著名国际出版社(Springer、Elsevier、De Gruyter Open和Nova Publisher)等出版社出版了9篇章节；在Academic Press (Elsevier) 等出版社出版英文著作4部；获得2016年度中国百篇最具影响国际学术论文；入选2017年度爱思唯尔中国数学领域高被引学者榜单（榜首）；担任《Fractals-Complex Geometry, Patterns, and Scaling in Nature and Society 》等十余个国际著名SCI期刊编委或副主编。担任Springer、World Scientific Publisher ( Singapore)、Elsevier Science Publisher (The Netherlands) 和CRC Press (Taylor and Francis Group) 等出版社书稿的审稿人，120余个SCI期刊(来自于Springer、Elsevier、Taylor & Francis、Wiley、World Scientific、AMS、APS、AIP、IOP、IEEE、PLOS、SAGE、De Gruyter、Begell House, Emerald, MDPI, Hindawi等）的审稿人。

获奖、荣誉称号

中国矿业大学优秀博士论文(1/1)；2018-07-05

热障涂层结构缺陷红外热波无损检测技术与应用 (2/9)；2018-03-12

中国高被引学者(1/1)；2018-01-19

中国百篇最具影响国际学术论文(1/1)；2017-10-31

第五届周培源全国大学生力学竞赛黑龙江赛区三等奖(1/1)；2004-09-28

社会、学会及学术兼职

一、学会兼职

中国物理学学会终身会员

中国力学学会高级会员

中国数学学会员 (S010004209M)

中国工业应用数学学会员 (1800322M)

德国数学文摘评论员（ID16544）

德国分形研究所成员

巴基斯坦数学及其应用委员会成员

二、学术兼职

《Fractals-Complex Geometry, Patterns, and Scaling in Nature and Society》 (SCI) 编委

《Scientia Iranica, Transaction B, Mechanical Engineering》 (SCI) 编委

《Journal of Computational Analysis and Applications》 (SCI) 副主编

《Mathematical Modelling and Analysis》 (SCI) 编委

《PLOS ONE》 (SCI) 学术编委

《Thermal Science》 (SCI) 编委

《Journal of Vibroengineering》 (SCI) 编委

研究领域

应用数学与力学

科研项目

中国矿业大学越崎学者人才引进项目，2018.02-2023.02，主持。

发表论文

学术论文(部分代表性成果)

Yang, X. J., Machado, J. T. A new fractional operator of variable order: application in the description of anomalous diffusion[J].Physica A: Statistical Mechanics and its Applications, 2017, 481: 276-283.

Yang, X. J. Fractional derivatives of constant and variable orders applied to anomalous relaxation models in heat-transfer problems. Thermal Science, 2017, 21(3): 1161-1171.

Yang, X. J., Gao, F., Srivastava, H. M. Exact travelling wave solutions for the local fractional two-dimensional Burgers-type equations[J]. Computers & Mathematics with Applications, 2017, 73(2): 203-210.

Yang, X. J., Tenreiro Machado, J. A. A new insight into complexity from the local fractional calculus view point: modelling growths of populations[J].Mathematical Methods in the Applied Sciences, 2017, 40: 6070-6075.

Yang, X. J., Machado, J. T., Baleanu, D. Exact traveling-wave solution for local fractional Boussinesq equation in fractal domain[J].Fractals, 2017, 25(04): 1740006.

Yang, X. J., Gao, Feng., Srivastava, H. M. New rheological models within local fractional derivative[J]. Romanian Reports in Physics, 2017, 69(3):113.

Yang, X. J., Machado, J. A., Nieto, J. J. A new family of the local fractional PDEs[J].Fundamenta Informaticae, 2017, 151(1-4): 63-75.

Yang, X. J., Tenreiro Machado, J. A., Baleanu, D., et al. On exact traveling-wave solutions for local fractional Korteweg-de Vries equation[J]. Chaos: An Interdisciplinary Journal of Nonlinear Science, 2016, 26(8): 084312.

Yang, X. J., Machado, J. A., Baleanu, D., et al. A new numerical technique for local fractional diffusion equation in fractal heat transfer[J].Journal of Nonlinear Science and Applications, 2016, 9(10): 5621-5628.

Yang, X. J., Machado, J. T., Srivastava, H. M. A new numerical technique for solving the local fractional diffusion equation: two-dimensional extended differential transform approach[J]. Applied Mathematics and Computation, 2016, 274: 143-151.

Yang, X. J., Machado, J. T., Hristov, J. Nonlinear dynamics for local fractional Burgers’ equation arising in fractal flow[J]. Nonlinear Dynamics, 2016, 84(1): 3-7.

Yang, X. J., Baleanu, D., Srivastava, H. M. Local fractional similarity solution for the diffusion equation defined on Cantor sets[J]. Applied Mathematics Letters, 2015, 47: 54-60.

Yang, X. J., Srivastava, H. M. An asymptotic perturbation solution for a linear oscillator of free damped vibrations in fractal medium described by local fractional derivatives[J]. Communications in Nonlinear Science and Numerical Simulation, 2015, 29(1-3): 499-504.

Yang, X. J., Baleanu, D., Khan, Y., et al. Local fractional variational iteration method for diffusion and wave equations on Cantor sets[J]. Romanian Journal of Physics, 2014, 59(1-2): 36-48.

Yang, X. J., Baleanu, D., Zhong, W. P. Approximate solutions for diffusion equations on Cantor space-time[J]. Proceedings of the Romanian Academy A, 2013, 14(2): 127-133.

Yang, X. J., Srivastava, H. M., He, J. H., et al. Cantor-type cylindrical-coordinate method for differential equations with local fractional derivatives[J].Physics Letters A, 2013, 377(28-30): 1696-1700.

出版专著和教材

学术章节(部分)

X.-J. Yang, J. A. Tenreiro Machado, F. Gao, et al. On linear and nonlinear electric circuits: a local fractional calculus approach, A.T. Azar, A. Radwan, S. Vaidyanathan, Fractional Order Systems: Optimization, Control, Circuit Realizations and Applications , Academic Press, New York, 2018.

X.-J. Yang, C. Cattani, G. N. Xie, Local fractional calculus application to differential equations arising in fractal heat transfer, Cattani C., Srivastava H. M., Yang X.-J. (Eds), Fractional Dynamics, De Gruyter Open, 2015.

X.-J. Yang, D. Baleanu, J. A. Tenreiro Machado, Application of the local fractional Fourier series to fractal signals, J. A. Tenreiro Machado, D. Baleanu, Luo, Albert C. J. (Eds), Discontinuity and Complexity in Nonlinear Physical Systems, Springer, New York, 2014.

X.-J. Yang, D. Baleanu, J. A. Tenreiro Machado, On analytical methods for differential equations with local fractional derivative operators, Xavier M, Roy A. Z. D. (Eds), Fractional Calculus: Theory, Nova Science Publishers, NY, 2014.

学术著作

Yang, X. J., Baleanu, D., Srivastava, H. M.Local Fractional Integral Transforms and Their Applications. New York: Academic Press, 2015.

Cattani, C., Srivastava, H. M., Yang, X. J. Fractional Dynamics. Berlin: De Gruyter Open, 2015.

Yang, X. J. Advanced Local Fractional Calculus and Its Applications. New York: World Science Publisher, 2012.

Yang, X. J.Local Fractional Functional Analysis & Its Applications. Hong Kong: Asian Academic Publisher, 2011.