杨小军 - 中国矿业大学 - 力学与土木工程学院

个人简介

杨小军，男，1981年9月生，甘肃甘谷人，博士，研究员，博士生导师，就职于中国矿业大学深部岩土力学与地下工程国家重点实验室，中国矿业大学越崎学者，师从高峰教授。在非线性科学（主要反常浅水波理论）、积分变换、计算方法和特殊函数等方面作出了原创性工作。上述研创性成果荣获2019国际Obada奖1项、2019年院长奖励金1项以及江苏省教育科学研究成果高校自然科学类二等奖1项。入选2018年江苏省中青年科学技术带头人，中国高被引学者以及中国百篇最具影响国际学术论文1篇

研究领域

Viscoelasticity, Nonlinear Dynamics, Mathematical Physics, Analytical, Approximate, Numerical and Exact Solutions for ODEs and PDEs, Integral Transforms and Their Applications, Continuous Mechanics, Rock mechanics, Fluid Mechanics, Heat Transfer, and Traffic Flow, Wavelets, Signal Processing, Biomathematics, General Calculus and Applications, Fractional Calculus and Applications, Local Fractional Calculus and Applications, General Fractional Calculus and Applications, Variable Order Fractional Calculus and Applications and Variable Order Fractional Calculus with Respect to Another Function and Applications.

近期论文

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Yang, X. J. (2019). The Euler–Maclaurin–Siegel and Abel–Plana summation formulae for the entire Riemann functional equation to handle the Riemann hypothesis. Physica A: Statistical Mechanics and its Applications, 525, 1203-1211 Yang, X. J., Gao, F., Srivastava, H. M. (2018). A new computational approach for solving nonlinear local fractional PDEs. Journal of Computational and Applied Mathematics, 339, 285-296 Yang, X. J. (2017). A new integral transform operator for solving the heat-diffusion problem. Applied Mathematics Letters, 64, 193-197 Yang, X. J., Machado, J. T., Baleanu, D. (2017). Exact traveling-wave solution for local fractional Boussinesq equation in fractal domain. Fractals, 25(04), 1740006 Yang, X. J., Srivastava, H. M., & Machado, J. A. (2015). A new fractional derivative without singular kernel: application to the modelling of the steady heat flow. Thermal Science, 20(2), 753-756 Yang, X. J., Gao, F., Srivastava, H. M. (2017). Exact travelling wave solutions for the local fractional two-dimensional Burgers-type equations. Computers & Mathematics with Applications, 73(2), 203-210 Yang, X. J., Tenreiro Machado, J. A., Baleanu, D., Cattani, C. (2016). On exact traveling-wave solutions for local fractional Korteweg-de Vries equation. Chaos: An Interdisciplinary Journal of Nonlinear Science, 26(8), 084312 Yang, X. J., Gao, F., Srivastava, H. M. (2017). New rheological models within local fractional derivative. Romanian Reports in Physics, 69(3), 113 Yang, X. J. (2017). New general fractional-order rheological models with kernels of Mittag-Leffler functions. Romanian Reports in Physics, 69(4), 118 " General fractional derivatives containing the nonsingular kernels", 2019 International Conference on Computational Methods in Applied Sciences, July 12-16, Istanbul, Trukey, 2019 " A new fractional-order anomalous heat-conduction equation within the weakly singular kernel",The 2nd Journal of Thermal Analysis and Calorimetry Conference, June 18-21, Budapest, Hungary, 2019 " A new perspective in anomalous viscoelasticity from the derivative with respect to another function view point ", The Eleventh IMACS International Conference On Nonlinear Evolution Equations & Wave Phenomena Evaluation: Computation and Theory, April 17–19, Athens, Georgia, USA, 2019 " Local fractional calculus: a new prospective on modelling the non-differentiable problems in applied science", The 8th International Conference of Mathematics and Information Sciences, 8-10 February, Egypt,2019 "Local Fractional Calculus: Theory and Applications", Qufu Normal University, School of Mathematics and Science, Qufu, China, March 20, 2018 "Local Fractional Calculus and Its Applications", 2018 National Symposium on Fractal Theory and Dynamic Systems in Mathematics, Xiangtan University, Xiangtan, China, May 20-22, 2018 "Applied Research on Mathematical Modelling based on Local Fractional Calculus Theory", North China University of Technology, School of Science, Tangshan, China, May 29, 2018 n "A Maxwell-like model for the mining-solid materials involving Riemann-Liouville-type fractional derivatives with respect to another function", The 355th Chinese Young Scientists Forum on Association for Science and Technology and The Fourth Forum on Young Scientists in Coal Industry, China University of Mining and Technology, Xuzhou, China, September 26-28, 2018 n "A Maxwell-like model involving Caputo-type fractional derivatives with respect to another function", 2018 International Conference on Geo-Mechanics, Geo-Energy and Geo-Resources, Sichuan University, China, September 22-24, 2018