On a new class of fractional partial differential equations
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 nonl...
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Main Authors | , |
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Format | Journal Article |
Language | English |
Published |
31.03.2014
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Subjects | |
Online Access | Get full text |
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Summary: | 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. |
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DOI: | 10.48550/arxiv.1403.7942 |