中國礦業大學（徐州）深部重點實驗室研究生導師：楊小軍

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個人簡介

基本信息

姓名：楊小軍

出生年月：1981年9月

學位：博士

職稱：研究員

研究領域：應用數學與力學

E-mail：dyangxiaojun@163.com

個人簡介

楊小軍，男，1981年9月生，甘肅甘谷人，工學博士。 現任中國礦業大學深部巖土力學與地下工程國家重點實驗室研究員，中國礦業大學越崎學者。長期開展分形理論研究，在局部分數階微積分學、廣義分數階微積分學、變階次微積分學和廣義導數、局部分數階Fourier和Laplace變換、分形小波理論、分形集合理論、分形熱傳導理論、廣義分數階粘彈性力學、分形彈性力學（變分原理）、分形斷裂力學（J積分理論）、Fourier型和Laplace型積分變換、局部分數階線性和非線性微分方程計算方法及分形孤波理論等方面作出了原創性工作。在國內外學術期刊發表論文160余篇，其中SCI收錄120余篇；ESI高被引論文24篇，熱點論文3篇，Scopus H指數為28，Web of Science H指數為24，他引次數1400余次； 在著名國際出版社(Springer、Elsevier、De Gruyter Open和Nova Publisher)等出版社出版了9篇章節； 在Academic Press (Elsevier) 等出版社出版英文著作4部；獲得2016年度中國百篇最具影響國際學術論文；入選2017年度愛思唯爾中國數學領域高被引學者榜單（榜首）；擔任《Fractals-Complex Geometry, Patterns, and Scaling in Nature and Society 》等十余個國際著名SCI期刊編委或副主編。 擔任Springer、World Scientific Publisher ( Singapore)、Elsevier Science Publisher (The Netherlands) 和CRC Press (Taylor and Francis Group) 等出版社書稿的審稿人，120余個SCI期刊(來自于Springer、Elsevier、Taylor & Francis、Wiley、World Scientific、AMS、APS、AIP、IOP、IEEE、PLOS、SAGE、De Gruyter、Begell House, Emerald, MDPI, Hindawi等）的審稿人。

獲獎、榮譽稱號

中國礦業大學優秀博士論文(1/1)；2018-07-05

熱障涂層結構缺陷紅外熱波無損檢測技術與應用 (2/9)；2018-03-12

中國高被引學者(1/1)；2018-01-19

中國百篇最具影響國際學術論文(1/1)；2017-10-31

第五屆周培源全國大學生力學競賽黑龍江賽區三等獎(1/1)；2004-09-28

社會、學會及學術兼職

一、學會兼職

中國物理學學會終身會員

中國力學學會高級會員

中國數學學會員 (S010004209M)

中國工業應用數學學會員 (1800322M)

德國數學文摘評論員（ID16544）

德國分形研究所成員

巴基斯坦數學及其應用委員會成員

二、學術兼職

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

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

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

《Mathematical Modelling and Analysis》 (SCI) 編委

《PLOS ONE》 (SCI) 學術編委

《Thermal Science》 (SCI) 編委

《Journal of Vibroengineering》 (SCI) 編委

研究領域

應用數學與力學

科研項目

中國礦業大學越崎學者人才引進項目，2018.02-2023.02，主持。

發表論文

學術論文(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.

出版專著和教材

學術章節(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.

學術著作

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.