榮譽
2015.9第九屆山東省本科高等學校教學名師
2015山東省高校十大師德標兵
承擔的項目
1.2018-2021，幾類分數階非線性發展方程的高效算法及其在流體力學中的套用，國家自然科學基金面上項目，負責人
2.2015-2018，基於分數階微積分理論的粘彈性本構模型參數反演及套用，國家自然科學基金面上項目，負責人
3.2012-2014，基於分數階微積分理論的複雜生物網路傳輸的動力學模型及算法研究，國家自然科學基金委重大研究計畫/培育項目,負責人
4.2011—2013，複雜人體組織傳熱的分數階導數模型及熱輸運機理研究，國家自然科學基金委面上項目，負責人
5.2007—2010，分數階反應擴散方程及其在量子力學中的套用，山東省科技廳自然科學面上項目，負責人
發表的主要論文
論文
Xiu Yang, Haitao Qi, Xiaoyun Jiang,Numerical analysis for electroosmotic flow of fractional Maxwell fluids. Applied Mathematics Letters, 78（2018）1-8.
Rumeng Zheng, Xiaoyun Jiang, Zhanghui.L1 Fourier spectral methods for a class of generalized two-dimensional time fractional nonlinear anomalous diffusionequations,computers hyperlink "www.sciencedirect.com/science/journal/08981221" Mathematics with Applications, 75( 2018)1515-1530
Hui Zhang, Xiaoyun Jiang, Xiu Yang,A time-space spectral method for the time-space fractional Fokker-Planck equation and its inverse problem.Applied Mathematics and Computation, 320 (2018) 302-318
Wenping Fan, Fawang Liu, Xiaoyun Jiang, Ian Turner. A novel unstructured mesh finite element method for solving the time-space fractional wave equation on a two-dimensional irregular convex domain. Fractional Calculus and Applied Analysis, 20(2) （2017）352-383.
Shanzhen Chen, Xiaoyun Jiang. Parameters estimation for a new anomalous thermal diffusion model in layered media. Computers & Mathematics with Applications, 73(6) （2017）1172-1181.
Huanying Xu, Xiaoyun Jiang. Creep constitutive models for viscoelastic materials based on fractional derivatives. Computers & Mathematics with Applications, 73(6) （2017） 1377-1384.
Ying Ma, Xiaoyun Jiang, Bo Yu. Parameters identification for the unsteady helical flows of a generalized Oldroyd-B fluid model based on its numerical solution. Canadian Journal of Physics, 2017 (999): 1-9.
Huanying Xu, Xiaoyun Jiang, Bo Yu. Numerical analysis of the space fractional Navier–Stokes equations. Applied Mathematics Letters, 69（2017）94-100.
Yuting Jiang, Haitao Qi, Huanying Xu, Xiaoyun Jiang. Transient electroosmotic slip flow of fractional Oldroyd-B fluids. Microfluidics and Nanofluidics, 21(1)（2017） 7.
Shanzhen Chen, Fawang Liu, Xiaoyun Jiang, Ian Turner, K Burrage. Fast finite difference approximation for identifying parameters in a two-dimensional space-fractional nonlocal model with variable diffusivity coefficients. SIAM Journal on Numerical Analysis, 54(2) （2016） 606-624.
Hui Zhang, Xiaoyun Jiang, Wenping Fan. Parameter estimation for the fractional Schrödinger equation using Bayesian method. Journal of Mathematical Physics, 57(8) （2016） 082104.
Bo Yu, Xiaoyun Jiang. Numerical identification of the fractional derivatives in the two-dimensional fractional cable equation. Journal of Scientific Computing, 68(1) （2016）252-272.
Bo Yu, Xiaoyun Jiang, Chu Wang. Numerical algorithms to estimate relaxation parameters and Caputo fractional derivative for a fractional thermal wave model in spherical composite medium. Applied Mathematics and Computation, 274（2016）106-118.
Wenping Fan, Xiaoyun Jiang, Shanzhen Chen. Parameter estimation for the fractional fractal diffusion model based on its numerical solution. Computers & Mathematics with Applications, 71(2)（2016） 642-651.
Shanzhen Chen, Xiaoyun Jiang, Fawang Liu, Ian Turner. High order unconditionally stable difference schemes for the Riesz space-fractional telegraph equation. Journal of Computational and Applied Mathematics, 278（2015） 119-129.
Shanzhen Chen, Fawang Liu, Xiaoyun Jiang, Ian Turner, V Anh. A fast semi-implicit difference method for a nonlinear two-sided space-fractional diffusion equation with variable diffusivity coefficients. Applied Mathematics and Computation, 257（2015）591-601.
Bo Yu, Xiaoyun Jiang, Haitao Qi. An inverse problem to estimate an unknown order of a Riemann–Liouville fractional derivative for a fractional Stokes’ first problem for a heated generalized second grade fluid. Acta Mechanica Sinica, 31(2) （2015）153-161.
Huanying Xu, Xiaoyun Jiang. Time fractional dual-phase-lag heat conduction equation. Chinese Physics B, 24(3) （2015） 034401.
Wenping Fan, Xiaoyun Jiang, Haitao Qi. Parameter estimation for the generalized fractional element network Zener model based on the Bayesian method. Physica A: Statistical Mechanics and its Applications, 427（2015） 40-49.
Xiaolong Gao, Xiaoyun Jiang, Shanzhen Chen. The numerical method for the moving boundary problem with space-fractional derivative in drug release devices. Applied Mathematical Modelling, 39(8) （2015）2385-2391.
Qiao Zhuang, Bo Yu, Xiaoyun Jiang. An inverse problem of parameter estimation for time-fractional heat conduction in a composite medium using carbon–carbon experimental data. Physica B: Condensed Matter, 456（2015）9-15.
Bo Yu, Xiaoyun Jiang, Huanying Xu. A novel compact numerical method for solving the two-dimensional non-linear fractional reaction-subdiffusion equation. Numerical Algorithms, 68(4) （2015）923-950.
Xiaoyun Jiang, Shanzhen Chen. Analytical and numerical solutions of time fractional anomalous thermal diffusion equation in composite medium. ZAMM‐Journal of Applied Mathematics and Mechanics, 95(2)（2015） 156-164.
Wenping Fan, Xiaoyun Jiang. Parameters estimation for a one-dimensional time fractional thermal wave equation with fractional heat flux conditions. Acta Mechanica Sinica, 63(14) （2014）140202.
Zhen Tan, Haitao Qi, Xiaoyun Jiang. Electroosmotic flow of Eyring fluid in slit microchannel with slip boundary condition. Applied Mathematics and Mechanics, 35(6)（2014） 689-696.
Bo Yu, Xiaoyun Jiang. A fractional anomalous diffusion model and numerical simulation for sodium ion transport in the intestinal wall. Advances in Mathematical Physics, （2013）479634.
Huanying Xu, Haitao Qi, Xiaoyun Jiang. Fractional Cattaneo heat equation in a semi-infinite medium. Chinese Physics B, 2013, 22(1): 014401.
Xiaoyun Jiang, Haitao Qi. Thermal wave model of bioheat transfer with modified Riemann–Liouville fractional derivative. Journal of Physics A: Mathematical and Theoretical, 45(48)（2012） 485101.
Shanzhen Chen, Xiaoyun Jiang. Analytical solutions to time-fractional partial differential equations in a two-dimensional multilayer annulus. Physica A: Statistical Mechanics and its Applications, 391(15)（2012） 3865-3874.
Xiaoyun Jiang, Haitao Qi，Mingyu Xu， Exact solutions of fractional Schrodinger like equation，J. Math. Phys.，52 (2011)042105（10pp）
Xiaoyun Jiang,Time-space fractional Schrodinger like equation with a nonlocal term， The Europ. Phys. J. Special Topics193(2011)61-70
Tinghui Ning ,Xiaoyun Jiang, Analytical solution for the time-fractional heat conduction equation in spherical coordinate system by the method of separating variables , Acta Mechanica Sinica，(2011) 27(6):994–1000
Fangfang Zhang, Xiaoyun Jiang, Analytical solutions for time-fractional axisymmetric diffusion-wave equation，Nonlinear Anal RWA, 12 （2011）1841-1849
Haitao Qi, Xiaoyun Jiang,Solutions of the space-time fractional Cattaneo diffusion equation，Physica A 390 (2011)1876-1883
Xiaoyun Jiang, Mingyu Xu, The time fractional heat conduction quation in the general rthogonal curvilinear coordinate and the cylindrical coordinate systems，Physica A，389 (2010)3368-3374
Xiaoyun Jiang, Mingyu Xu,Haitao Qi, The fractional diffusion model with an absorption term and modified Fick’s law for non-local transport processes, Nonlinear Anal RWA, 11 (2010) 262-269.
Xiaoyun Jiang ，Haitao Qi，Analytical solutions for anomalous transport of volatile pollutants in nonaqueous-phase liquid contaminated soil，Nonlinear Dynamics 62(2010)895-904
Xiaoyun Jiang，Mingyu Xu,The fractional finite Hankel transform and its applications in fractal space, J. Phys. A: Math. Theor. 42 (2009) 385201 (11pp).
Xichang Li,Mingyu Xu, Xiaoyun Jiang, Homotopy perturbation method to time-fractional diffusion equation with a moving boundary condition, Appl. Math. Comput. 208 (2009) 434–439.
Xiaoyun Jiang Mingyu Xu,Some Applications of Fractional Quantum Mechanics, IEEE Cmputer Society,Fourth International Conference on Natural Computation,3,688 (2008)688-691 .
Xiaoyun Jiang,Mingyu Xu,Analysis of Fractional anomalous diffusion cause by an instantaneous point source in disordered fractal media Internat.J. Non-Linear Mech., 41（2006）156-165.
Xiaoyun Jiang Mingyu Xu, Fractional nomalous diffusion cause by an instantaneous point source in disordered fractal media , Recent Advances in Fluid Mechanics, (2004)407-410
林愛華，蔣曉芸，粒子入射雙δ勢壘時空間分數階薛丁格方程的解，山東大學學報，40（2）（2007）139-140
劉艷芹，蔣曉芸， 有限分形介質中分數階反應擴散方程及其解析解 高校套用數學學報,22（1） （2007）17-22
劉艷芹，徐明瑜，蔣曉芸，分數階非線性對流- 擴散方程及其解，山東大學學報 38（5）（2007）42（1）35-39
蔣曉芸，徐明瑜，分形介質分數階反常守恆擴散模型及其解，山東大學學報 38（5）（2003） 29-32
蔣曉芸，徐明瑜，污染源濃度分布分數階模型及其解 山東大學學報 9(3)（2004） 37-41
蔣曉芸，企業信息化測算方法研究，中國管理科學，10（3），2002，52-55
企業核心能力測度的多層次模糊綜合評判數學模型，經濟數學，20（1）（2003）55-62
1.Xiu Yang, Haitao Qi, Xiaoyun Jiang,Numerical analysis for electroosmotic flow of fractional Maxwell fluids. Applied Mathematics Letters, 78（2018）1-8.
2.Rumeng Zheng, Xiaoyun Jiang, Zhanghui.L1 Fourier spectral methods for a class of generalized two-dimensional time fractional nonlinear anomalous diffusionequations,computers hyperlink "www.sciencedirect.com/science/journal/08981221" Mathematics with Applications, 75( 2018)1515-1530
3.Hui Zhang, Xiaoyun Jiang, Xiu Yang,A time-space spectral method for the time-space fractional Fokker-Planck equation and its inverse problem.Applied Mathematics and Computation, 320 (2018) 302-318
4.Wenping Fan, Fawang Liu, Xiaoyun Jiang, Ian Turner. A novel unstructured mesh finite element method for solving the time-space fractional wave equation on a two-dimensional irregular convex domain. Fractional Calculus and Applied Analysis, 20(2) （2017）352-383.
5.Shanzhen Chen, Xiaoyun Jiang. Parameters estimation for a new anomalous thermal diffusion model in layered media. Computers & Mathematics with Applications, 73(6) （2017）1172-1181.
6.Huanying Xu, Xiaoyun Jiang. Creep constitutive models for viscoelastic materials based on fractional derivatives. Computers & Mathematics with Applications, 73(6) （2017） 1377-1384.
7.Ying Ma, Xiaoyun Jiang, Bo Yu. Parameters identification for the unsteady helical flows of a generalized Oldroyd-B fluid model based on its numerical solution. Canadian Journal of Physics, 2017 (999): 1-9.
8.Huanying Xu, Xiaoyun Jiang, Bo Yu. Numerical analysis of the space fractional Navier–Stokes equations. Applied Mathematics Letters, 69（2017）94-100.
9.Yuting Jiang, Haitao Qi, Huanying Xu, Xiaoyun Jiang. Transient electroosmotic slip flow of fractional Oldroyd-B fluids. Microfluidics and Nanofluidics, 21(1)（2017） 7.
10.Shanzhen Chen, Fawang Liu, Xiaoyun Jiang, Ian Turner, K Burrage. Fast finite difference approximation for identifying parameters in a two-dimensional space-fractional nonlocal model with variable diffusivity coefficients. SIAM Journal on Numerical Analysis, 54(2) （2016） 606-624.
11.Hui Zhang, Xiaoyun Jiang, Wenping Fan. Parameter estimation for the fractional Schrödinger equation using Bayesian method. Journal of Mathematical Physics, 57(8) （2016） 082104.
12.Bo Yu, Xiaoyun Jiang. Numerical identification of the fractional derivatives in the two-dimensional fractional cable equation. Journal of Scientific Computing, 68(1) （2016）252-272.
13.Bo Yu, Xiaoyun Jiang, Chu Wang. Numerical algorithms to estimate relaxation parameters and Caputo fractional derivative for a fractional thermal wave model in spherical composite medium. Applied Mathematics and Computation, 274（2016）106-118.
14.Wenping Fan, Xiaoyun Jiang, Shanzhen Chen. Parameter estimation for the fractional fractal diffusion model based on its numerical solution. Computers & Mathematics with Applications, 71(2)（2016） 642-651.
15.Shanzhen Chen, Xiaoyun Jiang, Fawang Liu, Ian Turner. High order unconditionally stable difference schemes for the Riesz space-fractional telegraph equation. Journal of Computational and Applied Mathematics, 278（2015） 119-129.
16.Shanzhen Chen, Fawang Liu, Xiaoyun Jiang, Ian Turner, V Anh. A fast semi-implicit difference method for a nonlinear two-sided space-fractional diffusion equation with variable diffusivity coefficients. Applied Mathematics and Computation, 257（2015）591-601.
17.Bo Yu, Xiaoyun Jiang, Haitao Qi. An inverse problem to estimate an unknown order of a Riemann–Liouville fractional derivative for a fractional Stokes’ first problem for a heated generalized second grade fluid. Acta Mechanica Sinica, 31(2) （2015）153-161.
18.Huanying Xu, Xiaoyun Jiang. Time fractional dual-phase-lag heat conduction equation. Chinese Physics B, 24(3) （2015） 034401.
19.Wenping Fan, Xiaoyun Jiang, Haitao Qi. Parameter estimation for the generalized fractional element network Zener model based on the Bayesian method. Physica A: Statistical Mechanics and its Applications, 427（2015） 40-49.
20.Xiaolong Gao, Xiaoyun Jiang, Shanzhen Chen. The numerical method for the moving boundary problem with space-fractional derivative in drug release devices. Applied Mathematical Modelling, 39(8) （2015）2385-2391.
21.Qiao Zhuang, Bo Yu, Xiaoyun Jiang. An inverse problem of parameter estimation for time-fractional heat conduction in a composite medium using carbon–carbon experimental data. Physica B: Condensed Matter, 456（2015）9-15.
22.Bo Yu, Xiaoyun Jiang, Huanying Xu. A novel compact numerical method for solving the two-dimensional non-linear fractional reaction-subdiffusion equation. Numerical Algorithms, 68(4) （2015）923-950.
23.Xiaoyun Jiang, Shanzhen Chen. Analytical and numerical solutions of time fractional anomalous thermal diffusion equation in composite medium. ZAMM‐Journal of Applied Mathematics and Mechanics, 95(2)（2015） 156-164.
24.Wenping Fan, Xiaoyun Jiang. Parameters estimation for a one-dimensional time fractional thermal wave equation with fractional heat flux conditions. Acta Mechanica Sinica, 63(14) （2014）140202.
25.Zhen Tan, Haitao Qi, Xiaoyun Jiang. Electroosmotic flow of Eyring fluid in slit microchannel with slip boundary condition. Applied Mathematics and Mechanics, 35(6)（2014） 689-696.
26.Bo Yu, Xiaoyun Jiang. A fractional anomalous diffusion model and numerical simulation for sodium ion transport in the intestinal wall. Advances in Mathematical Physics, （2013）479634.
27.Huanying Xu, Haitao Qi, Xiaoyun Jiang. Fractional Cattaneo heat equation in a semi-infinite medium. Chinese Physics B, 2013, 22(1): 014401.
28.Xiaoyun Jiang, Haitao Qi. Thermal wave model of bioheat transfer with modified Riemann–Liouville fractional derivative. Journal of Physics A: Mathematical and Theoretical, 45(48)（2012） 485101.
29.Shanzhen Chen, Xiaoyun Jiang. Analytical solutions to time-fractional partial differential equations in a two-dimensional multilayer annulus. Physica A: Statistical Mechanics and its Applications, 391(15)（2012） 3865-3874.
30.Xiaoyun Jiang, Haitao Qi，Mingyu Xu， Exact solutions of fractional Schrodinger like equation，J. Math. Phys.，52 (2011)042105（10pp）
31.Xiaoyun Jiang,Time-space fractional Schrodinger like equation with a nonlocal term， The Europ. Phys. J. Special Topics193(2011)61-70
32.Tinghui Ning ,Xiaoyun Jiang, Analytical solution for the time-fractional heat conduction equation in spherical coordinate system by the method of separating variables , Acta Mechanica Sinica，(2011) 27(6):994–1000
33.Fangfang Zhang, Xiaoyun Jiang, Analytical solutions for time-fractional axisymmetric diffusion-wave equation，Nonlinear Anal RWA, 12 （2011）1841-1849
34.Haitao Qi, Xiaoyun Jiang,Solutions of the space-time fractional Cattaneo diffusion equation，Physica A 390 (2011)1876-1883
35.Xiaoyun Jiang, Mingyu Xu, The time fractional heat conduction quation in the general rthogonal curvilinear coordinate and the cylindrical coordinate systems，Physica A，389 (2010)3368-3374
36.Xiaoyun Jiang, Mingyu Xu,Haitao Qi, The fractional diffusion model with an absorption term and modified Fick’s law for non-local transport processes, Nonlinear Anal RWA, 11 (2010) 262-269.
37.Xiaoyun Jiang ，Haitao Qi，Analytical solutions for anomalous transport of volatile pollutants in nonaqueous-phase liquid contaminated soil，Nonlinear Dynamics 62(2010)895-904
38.Xiaoyun Jiang，Mingyu Xu,The fractional finite Hankel transform and its applications in fractal space, J. Phys. A: Math. Theor. 42 (2009) 385201 (11pp).
39.Xichang Li,Mingyu Xu, Xiaoyun Jiang, Homotopy perturbation method to time-fractional diffusion equation with a moving boundary condition, Appl. Math. Comput. 208 (2009) 434–439.
40.Xiaoyun Jiang Mingyu Xu,Some Applications of Fractional Quantum Mechanics, IEEE Cmputer Society,Fourth International Conference on Natural Computation,3,688 (2008)688-691 .
41.Xiaoyun Jiang,Mingyu Xu,Analysis of Fractional anomalous diffusion cause by an instantaneous point source in disordered fractal media Internat.J. Non-Linear Mech., 41（2006）156-165.
42.Xiaoyun Jiang Mingyu Xu, Fractional nomalous diffusion cause by an instantaneous point source in disordered fractal media , Recent Advances in Fluid Mechanics, (2004)407-410
43.林愛華，蔣曉芸，粒子入射雙δ勢壘時空間分數階薛丁格方程的解，山東大學學報，40（2）（2007）139-140
44.劉艷芹，蔣曉芸， 有限分形介質中分數階反應擴散方程及其解析解 高校套用數學學報,22（1） （2007）17-22
45.劉艷芹，徐明瑜，蔣曉芸，分數階非線性對流- 擴散方程及其解，山東大學學報 38（5）（2007）42（1）35-39
46.蔣曉芸，徐明瑜，分形介質分數階反常守恆擴散模型及其解，山東大學學報 38（5）（2003） 29-32
47.蔣曉芸，徐明瑜，污染源濃度分布分數階模型及其解 山東大學學報 9(3)（2004） 37-41
48.蔣曉芸，企業信息化測算方法研究，中國管理科學，10（3），2002，52-55
49.企業核心能力測度的多層次模糊綜合評判數學模型，經濟數學，20（1）（2003）55-62
50.