Power Law & Fractional Dynamic
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Institute of Soft Matter Mechanics
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4th IFAC Workshop on Fractional Differentiation and Its Applications University of Extremadura, Badajoz, Spain, October 18-20, 2010.
Recent published papers of Institute about fractional dynamics
HongGuang Sun, Wen Chen, Yangquan Chen, Variable-order fractional differential operators in anomalous diffusion modeling, Physica A: Statistical Mechanics and its Applications, 388(21), 4586-4592, 2009.
Xicheng Li, Mingyu Xu, Xiaoyun Jiang, Homotopy perturbation method to time-fractional diffusion equation with a moving boundary, Applied Mathematics and Computation, 208 (2009) 434-439.
HongGuang Sun, YangQuan Chen, Wen Chen. Random-order fractional differential equation models. Signal Process (2010), doi:10.1016/j.sigpro.2010.01.027.
Hongguang Sun, Wen Chen, Hu Sheng, Yangquan Chen, On mean square displacement behaviors of anomalous diffusions with variable and random orders, Physics Letters A, 374(7), 906-910, 2010.
Wen Chen. Xiaodi Zhang, Xing Cai, A study on modified Szabos wave equation modeling of frequency-dependent dissipation in ultrasonic medical imaging, Physica Scripta, T136, 014014(5pp) 2009.
Xicheng Li, Mingyu Xu, A Model for reversible reaction in a sub-diffusive regime, Journal of Mathematical Physics, 50 (2009), 102708
Wen Chen, HongGuang Sun, Xiaodi Zhang, Dean Korosak. Anomalous diffusion modeling by fractal and fractional derivatives. Computers and Mathematics with Applications, 2010, 59 (5): 1754-1758.
W. Chen, An intuitive study of fractional derivative modeling and fractional quantum in soft matter, Journal of Vibration and Control, 14, 1651-1657, 2008.
HongGuang Sun, Wen Chen, Xing Cai. Comparative Study of Numerical Algorithms for Anomalous Diffusion Equation with Spatial Fractional Derivatives. Chinese Journal of Computational Physics, 2009 26(5): 719-724.
Xicheng Li, Mingyu Xu, Shaowei Wang, Scale-invariant solutions to partial differential equations of fractional order with a moving boundary condition, Journal of Physics A: Mathematical and Theoretical, 41 (2008) 155202.
Xicheng Li, Mingyu Xu, Shaowei Wang, Analytical solutions to the moving boundary problems with space-time-fractional derivatives in drug release devices, Journal of Physics A: Mathematical and Theoretical, 40 (2007) 12131-12141.
Wen Chen, Linjuan Ye, HongGuang Sun. Fractional diffusion equation by Kansa method, Computer and Mathematics with Applications, 2010, 59 (5):1614-1620.
W. Chen, Time-space fabric underlying anomalous diffusion, Chaos, Solitons & Fractals, 28(4), 923-929, 2006.
W. Chen, A speculative study of 2/3-order fractional Laplacian modeling of turbulence: Some thoughts and conjectures, Chaos, 16, 023126, 2006.
W. Chen and S. Holm, Fractional Laplacian time-space models for linear and nonlinear lossy media exhibiting arbitrary frequency dependency, J. Acoustic Society of America, 115(4), 1424-1430, 2004.
Last update: 2010-03-10
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HongGuang Sun: shg@hhu.edu.cn