Variational formulation and optimal control of fractional diffusion equations with Caputo derivatives
文献类型：期刊论文
| 作者 | Tang, Qing1; Ma, Qingxia1,2 |
| 刊名 | ADVANCES IN DIFFERENCE EQUATIONS
 |
| 出版日期 | 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 |
| 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). |
入库方式： OAI收割
来源：武汉物理与数学研究所
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