楊小軍，男，1981年9月生，甘肅甘谷人，工學(xué)博士。現(xiàn)任中國礦業(yè)大學(xué)深部巖土力學(xué)與地下工程國家重點實驗室研究員，中國礦業(yè)大學(xué)越崎學(xué)者。長期開展分形理論研究，在局部分?jǐn)?shù)階微積分學(xué)、廣義分?jǐn)?shù)階微積分學(xué)、變階次微積分學(xué)和廣義導(dǎo)數(shù)、局部分?jǐn)?shù)階Fourier和Laplace變換、分形小波理論、分形集合理論、分形熱傳導(dǎo)理論、廣義分?jǐn)?shù)階粘彈性力學(xué)、分形彈性力學(xué)（變分原理）、分形斷裂力學(xué)（J積分理論）、Fourier型和Laplace型積分變換、局部分?jǐn)?shù)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(chuàng)性工作。在國內(nèi)外學(xué)術(shù)期刊發(fā)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(shù)為28，Web of Science H指數(shù)為24，他引次數(shù)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(jié)；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(xué)術(shù)論文；入選2017年度愛思唯爾中國數(shù)學(xué)領(lǐng)域高被引學(xué)者榜單（榜首）；擔(dān)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(dān)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(yù)稱號

中國礦業(yè)大學(xué)優(yōu)秀博士論文(1/1)；2018-07-05

熱障涂層結(jié)構(gòu)缺陷紅外熱波無損檢測技術(shù)與應(yīng)用 (2/9)；2018-03-12

中國高被引學(xué)者(1/1)；2018-01-19

中國百篇最具影響國際學(xué)術(shù)論文(1/1)；2017-10-31

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

社會、學(xué)會及學(xué)術(shù)兼職

一、學(xué)會兼職

中國物理學(xué)學(xué)會終身會員

中國力學(xué)學(xué)會高級會員

中國數(shù)學(xué)學(xué)會員 (S010004209M)

中國工業(yè)應(yīng)用數(shù)學(xué)學(xué)會員 (1800322M)

德國數(shù)學(xué)文摘評論員（ID16544）

德國分形研究所成員

巴基斯坦數(shù)學(xué)及其應(yīng)用委員會成員

二、學(xué)術(shù)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(xué)術(shù)編委

《Thermal Science》 (SCI) 編委

《Journal of Vibroengineering》 (SCI) 編委

研究領(lǐng)域

應(yīng)用數(shù)學(xué)與力學(xué)

科研項目

中國礦業(yè)大學(xué)越崎學(xué)者人才引進(jìn)項目，2018.02-2023.02，主持。

發(fā)表論文

學(xué)術(shù)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(xué)術(shù)章節(jié)(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(xué)術(shù)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.