On a new class of fractional partial differential equations

dc.citation.epage	336	en_US
dc.citation.spage	321	en_US
dc.citation.woscount	0	en_US
dc.contributor.author	Shieh, Tien-Tsan	en_US
dc.contributor.author	Spector, Daniel E.	en_US
dc.contributor.department	應用數學系	zh_TW
dc.contributor.department	Department of Applied Mathematics	en_US
dc.date.accessioned	2015-12-02T02:59:28Z
dc.date.available	2015-12-02T02:59:28Z
dc.date.issued	2015-10-01	en_US
dc.description.abstract	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.	en_US
dc.identifier.doi	10.1515/acv-2014-0009	en_US
dc.identifier.issn	1864-8258	en_US
dc.identifier.journal	ADVANCES IN CALCULUS OF VARIATIONS	en_US
dc.identifier.uri	http://dx.doi.org/10.1515/acv-2014-0009	en_US
dc.identifier.uri	https://ir.lib.nycu.edu.tw/handle/11536/128245
dc.identifier.wosnumber	WOS:000362224600002	en_US
dc.language.iso	en_US	en_US
dc.subject	Fractional gradient	en_US
dc.subject	fractional Sobolev inequalities	en_US
dc.subject	fractional partial differential equations	en_US
dc.subject	Bessel potential spaces	en_US
dc.title	On a new class of fractional partial differential equations	en_US
dc.type	Article	en_US

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