Variational formulation and optimal control of fractional diffusion equations with Caputo derivatives

CORC > 武汉物理与数学研究所 > 中国科学院武汉物理与数学研究所 > 数学物理与应用研究部

	Variational formulation and optimal control of fractional diffusion equations with Caputo derivatives
	Tang, Qing 1; Ma, Qingxia 1,2
刊名	ADVANCES IN DIFFERENCE EQUATIONS
	2015-09-11
关键词	fractional diffusion equation distributional weak Caputo derivative fractional Sobolev space
英文摘要	In this paper we start by giving a new definition of weak Caputo derivative in the sense of distributions, and we give a variational formulation to a fractional diffusion equation with Caputo derivative. We prove the existence and uniqueness of the solution to this weak formulation and use it to obtain a result on optimal control.
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Mathematics, Applied ; Mathematics
研究领域[WOS]	Mathematics
关键词[WOS]	SPACES ; SOBOLEV
收录类别	SCI
语种	英语
WOS记录号	WOS:000367855400001
公开日期	2016-03-08
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/9141]
专题	武汉物理与数学研究所_数学物理与应用研究部
作者单位	1.China Univ Geosci, Sch Math & Phys, Wuhan 430074, Peoples R China 2.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China
推荐引用方式 GB/T 7714	Tang, Qing,Ma, Qingxia. Variational formulation and optimal control of fractional diffusion equations with Caputo derivatives[J]. ADVANCES IN DIFFERENCE EQUATIONS,2015.
APA	Tang, Qing,&Ma, Qingxia.(2015).Variational formulation and optimal control of fractional diffusion equations with Caputo derivatives.ADVANCES IN DIFFERENCE EQUATIONS.
MLA	Tang, Qing,et al."Variational formulation and optimal control of fractional diffusion equations with Caputo derivatives".ADVANCES IN DIFFERENCE EQUATIONS (2015).