摘要
The generalized fractional elastic models govern the stochastic motion of several many-body systems,e.g., polymers, membranes, and growing interfaces. This paper focuses on the exact formulations and their asymptotic behaviors of the average of the solutions of the generalized fractional elastic models. So we directly analyze the Cauchy problem of the averaged generalized elastic model involving time fractional derivative and the convolution integral of a radially symmetric friction kernel with space fractional Laplacian.
The generalized fractional elastic models govern the stochastic motion of several many-body systems,e.g., polymers, membranes, and growing interfaces. This paper focuses on the exact formulations and their asymptotic behaviors of the average of the solutions of the generalized fractional elastic models. So we directly analyze the Cauchy problem of the averaged generalized elastic model involving time fractional derivative and the convolution integral of a radially symmetric friction kernel with space fractional Laplacian.
基金
Supported by the Program for New Century Excellent Talents in University under Grant No.NCET-09-0438
the National Natural Science Foundation of China under Grant Nos.11271173 and 11101330
the Starting Research Fund from the Xi’an University of Technology under Grant No.108-211206
the Scientific Research Program Funded by Shaanxi Provincial Education Department under Grant No.2013JK0581
