On a new class of fractional partial differential equations

Tien Tsan Shieh; Daniel E. Spector

doi:10.1515/acv-2014-0009

On a new class of fractional partial differential equations

Tien Tsan Shieh
, Daniel E. Spector

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

89 引文斯高帕斯（Scopus）

摘要

In this paper, we study a new class of fractional partial differential equations which are obtained by minimizing variational problems in fractional Sobolev spaces. We introduce a notion of fractional gradient which has the potential to extend many classical results in the Sobolev spaces to the nonlocal and fractional setting in a natural way.

原文	英語
頁（從 - 到）	321-336
頁數	16
期刊	Advances in Calculus of Variations
卷	8
發行號	4
DOIs	https://doi.org/10.1515/acv-2014-0009
出版狀態	已發佈 - 2015 10月 1
對外發佈	是

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分析
應用數學

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10.1515/acv-2014-0009

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On a new class of fractional partial differential equations

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