Exact Solutions and Their Asymptotic Behaviors for the Averaged Generalized Fractional Elastic Models

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	Exact Solutions and Their Asymptotic Behaviors for the Averaged Generalized Fractional Elastic Models
	Li, C ; Deng, WH ; Shen, XQ
刊名	COMMUNICATIONS IN THEORETICAL PHYSICS
	2014
卷号	62 期号:4 页码:443-450
关键词	DIFFUSION-EQUATIONS ANOMALOUS DIFFUSION WAVE-EQUATIONS
ISSN号	0253-6102
通讯作者	Deng, WH (reprint author), Lanzhou Univ, Sch Math & Stat, Gansu Key Lab Appl Math & complex Syst, Lanzhou 730000, Peoples R China.
英文摘要	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.
学科主题	Physics
收录类别	SCI
资助信息	Program for New Century Excellent Talents in University [NCET-09-0438]; National Natural Science Foundation of China [11271173, 11101330]; Starting Research Fund from the Xi'an University of Technology [108-211206]; Shaanxi Provincial Education Department [2013JK0581]
语种	英语
WOS记录号	WOS:000345826400002
公开日期	2015-06-03
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/15632]
专题	理论物理研究所_理论物理所1978-2010年知识产出
推荐引用方式 GB/T 7714	Li, C,Deng, WH,Shen, XQ. Exact Solutions and Their Asymptotic Behaviors for the Averaged Generalized Fractional Elastic Models[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2014,62(4):443-450.
APA	Li, C,Deng, WH,&Shen, XQ.(2014).Exact Solutions and Their Asymptotic Behaviors for the Averaged Generalized Fractional Elastic Models.COMMUNICATIONS IN THEORETICAL PHYSICS,62(4),443-450.
MLA	Li, C,et al."Exact Solutions and Their Asymptotic Behaviors for the Averaged Generalized Fractional Elastic Models".COMMUNICATIONS IN THEORETICAL PHYSICS 62.4(2014):443-450.